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2019 | OriginalPaper | Chapter

Optimal Vehicle Suspensions: A System-Level Study of Potential Benefits and Limitations

Authors : Davor Hrovat, H. Eric Tseng, Joško Deur

Published in: Vehicle Dynamics of Modern Passenger Cars

Publisher: Springer International Publishing

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Abstract

Fundamental ride and handling aspects of active and semi-active suspensions are presented in a systematic way starting with simple vehicle models as basic building blocks. Optimal, mostly Linear-Quadratic (H2), principles are used to gradually reveal and explore key system characteristics where each additional model Degree-of-Freedom (DoF) brings new insight into potential system benefits and limitations. The chapter concludes with practical considerations and examples including some that go beyond the more traditional ride and handling benefits.

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Appendix
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Literature
go back to reference Akatsu, Y. N., Fukushima, K., Takahashi, M., Satch, M., & Kawarazaki, Y. (1990). An active suspension employing an electrohydraulic pressure control systems. SAE Paper No. 905123. Akatsu, Y. N., Fukushima, K., Takahashi, M., Satch, M., & Kawarazaki, Y. (1990). An active suspension employing an electrohydraulic pressure control systems. SAE Paper No. 905123.
go back to reference Alleyne, A. (1997). Improved vehicle performance using combined suspension and braking forces. Vehicle System Dynamics, 27(4), 235–265.CrossRef Alleyne, A. (1997). Improved vehicle performance using combined suspension and braking forces. Vehicle System Dynamics, 27(4), 235–265.CrossRef
go back to reference Anderson, B. D. O., & Moore, J. B. (1971). Linear optimal control. London: Prentice-Hall International.MATH Anderson, B. D. O., & Moore, J. B. (1971). Linear optimal control. London: Prentice-Hall International.MATH
go back to reference Anderson, B. D. O., & Vongpanitlers, S. (1973). Network analysis and synthesis. Englewood Cliffs, NJ: Prentice Hall. Anderson, B. D. O., & Vongpanitlers, S. (1973). Network analysis and synthesis. Englewood Cliffs, NJ: Prentice Hall.
go back to reference Anderson, B. D. O., & Moore, J. B. (1990). Optimal control. Englewood Cliffs: Prentice-Hall. Anderson, B. D. O., & Moore, J. B. (1990). Optimal control. Englewood Cliffs: Prentice-Hall.
go back to reference Anderson, Z. M., Morton, S., Jackowski, Z. J., & Bavetta, R. (2013, March 5). Inventors; Levant Power Corporation, assignee. System and method for control for regenerative energy generators. United States patent US 8,392,030. Anderson, Z. M., Morton, S., Jackowski, Z. J., & Bavetta, R. (2013, March 5). Inventors; Levant Power Corporation, assignee. System and method for control for regenerative energy generators. United States patent US 8,392,030.
go back to reference Anonymous. (1972). A guide to the evaluation of human exposure to whole body vibration. ISO/DIS 2631, International Standard Organization, New York. Anonymous. (1972). A guide to the evaluation of human exposure to whole body vibration. ISO/DIS 2631, International Standard Organization, New York.
go back to reference Anonymous. (2007). FMVSS No. 126. Electronic Stability Control Systems. National Center for Statistics and Analysis. Anonymous. (2007). FMVSS No. 126. Electronic Stability Control Systems. National Center for Statistics and Analysis.
go back to reference Asgari, J., & Hrovat, D. ( 1991). Bond graph models of vehicle 2D ride and handling dynamics. In Proceedings of the 1991 ASME Winter Annual Meeting, Publication DE-Vol. 40 (Advanced Automotive Technologies 1991), Atlanta, December 1991. Asgari, J., & Hrovat, D. ( 1991). Bond graph models of vehicle 2D ride and handling dynamics. In Proceedings of the 1991 ASME Winter Annual Meeting, Publication DE-Vol. 40 (Advanced Automotive Technologies 1991), Atlanta, December 1991.
go back to reference Athans, M., & Falb, P. L. (1966). Optimal control. New York: McGraw-Hill.MATH Athans, M., & Falb, P. L. (1966). Optimal control. New York: McGraw-Hill.MATH
go back to reference Barak, P. (1985). On a ride control algorithm for heave, pitch and roll motions of a motor vehicle. Ph.D. Thesis, Wayne State University, Detroit, MI. Barak, P. (1985). On a ride control algorithm for heave, pitch and roll motions of a motor vehicle. Ph.D. Thesis, Wayne State University, Detroit, MI.
go back to reference Barak, P., & Hrovat, D. (1988). Application of the LQG approach to design of an automotive suspension for 3D vehicle models. In Proceedings of the International Conference on Advanced Suspensions. London, UK: IMECHE. Barak, P., & Hrovat, D. (1988). Application of the LQG approach to design of an automotive suspension for 3D vehicle models. In Proceedings of the International Conference on Advanced Suspensions. London, UK: IMECHE.
go back to reference Bendat, J. S., & Piersol, A. G. (1971). Random data. New York: Wiley.MATH Bendat, J. S., & Piersol, A. G. (1971). Random data. New York: Wiley.MATH
go back to reference Bender, E. K. (1967a). Optimization of the random vibration characteristics of vehicle suspensions using random process theory. ScD Thesis, MIT, Cambridge, MA. Bender, E. K. (1967a). Optimization of the random vibration characteristics of vehicle suspensions using random process theory. ScD Thesis, MIT, Cambridge, MA.
go back to reference Bender, E. K. (1967b). Optimum linear control of random vibrations. In Proceedings of the JACC (pp. 135–143). Bender, E. K. (1967b). Optimum linear control of random vibrations. In Proceedings of the JACC (pp. 135–143).
go back to reference Bender, E. K., Karnopp, D. C., & Paul, I. L. (1967). On the optimization of vehicle suspensions using random process theory. ASME Paper No. 67-Tran-12. Bender, E. K., Karnopp, D. C., & Paul, I. L. (1967). On the optimization of vehicle suspensions using random process theory. ASME Paper No. 67-Tran-12.
go back to reference Bodie, M. O., & Hac, A. Closed loop yaw control of vehicles using magneto-rheological dampers. SAE Technical Paper No. 2000-01-0107. Bodie, M. O., & Hac, A. Closed loop yaw control of vehicles using magneto-rheological dampers. SAE Technical Paper No. 2000-01-0107.
go back to reference Carbonaro, O. (1990). Hydractive suspension electronic control system. SAE Paper No. 905101. In Proceedings of the 23rd FISITA Congress, Torino, Italy (pp. 779–783). Carbonaro, O. (1990). Hydractive suspension electronic control system. SAE Paper No. 905101. In Proceedings of the 23rd FISITA Congress, Torino, Italy (pp. 779–783).
go back to reference Chalasani, R. M. (1986). Ride performance potential of active suspension systems—Part II: Comprehensive analysis based on full-car model. ASME Monograph AMD-80, DSC-1. Chalasani, R. M. (1986). Ride performance potential of active suspension systems—Part II: Comprehensive analysis based on full-car model. ASME Monograph AMD-80, DSC-1.
go back to reference Chance, B. K. (1984). Continental Mark VII/Lincoln continental electronically-controlled air suspension (EAS) system. SAE Technical Paper 840342. Chance, B. K. (1984). Continental Mark VII/Lincoln continental electronically-controlled air suspension (EAS) system. SAE Technical Paper 840342.
go back to reference Chatillon, M., Jezequel, L., Coutant, P., & Baggio, P. (2006). Hierarchical optimization of the design parameters of a vehicle suspension system. Vehicle System Dynamics, 44(11), 817–839.CrossRef Chatillon, M., Jezequel, L., Coutant, P., & Baggio, P. (2006). Hierarchical optimization of the design parameters of a vehicle suspension system. Vehicle System Dynamics, 44(11), 817–839.CrossRef
go back to reference Chen, H., Sun, P., & Guo, K. (2003). A multi-objective control design for active suspensions with hard constraints. Proceedings of the American Control Conference, 5, 4371–4376. Chen, H., Sun, P., & Guo, K. (2003). A multi-objective control design for active suspensions with hard constraints. Proceedings of the American Control Conference, 5, 4371–4376.
go back to reference Crosby, M., & Karnopp, D. C. (1973). The active damper—A new concept for shock and vibration control. Shock and Vibration Bulletin, Part H (Washington, D.C.). Crosby, M., & Karnopp, D. C. (1973). The active damper—A new concept for shock and vibration control. Shock and Vibration Bulletin, Part H (Washington, D.C.).
go back to reference Čorić, M., Deur, J., Xu, L., Tseng, H. E., & Hrovat, D. (2016a). Optimization of active suspension control inputs for improved vehicle ride performance. Vehicle System Dynamics, 54(7), 1004–1030.CrossRef Čorić, M., Deur, J., Xu, L., Tseng, H. E., & Hrovat, D. (2016a). Optimization of active suspension control inputs for improved vehicle ride performance. Vehicle System Dynamics, 54(7), 1004–1030.CrossRef
go back to reference Čorić, M., Deur, J., Kasać, J., Tseng, H. E., & Hrovat, D. (2016b). Optimization of active suspension control inputs for improved vehicle handling performance. Vehicle System Dynamics, 54(11), 1574–1600.CrossRef Čorić, M., Deur, J., Kasać, J., Tseng, H. E., & Hrovat, D. (2016b). Optimization of active suspension control inputs for improved vehicle handling performance. Vehicle System Dynamics, 54(11), 1574–1600.CrossRef
go back to reference Davis, R. I. & Patil, P. B. (1991). Electrically powered active suspension for a vehicle. US Patent 5,060,959. Davis, R. I. & Patil, P. B. (1991). Electrically powered active suspension for a vehicle. US Patent 5,060,959.
go back to reference Deur, J., Čorić, M., Kasać, J., Assadian, F., & Hrovat, D. (2014). Application of computational optimal control to vehicle dynamics. In H. Waschl et al. (Eds.), Optimization and optimal control in automotive systems (pp. 131–145). Cham: Springer.CrossRef Deur, J., Čorić, M., Kasać, J., Assadian, F., & Hrovat, D. (2014). Application of computational optimal control to vehicle dynamics. In H. Waschl et al. (Eds.), Optimization and optimal control in automotive systems (pp. 131–145). Cham: Springer.CrossRef
go back to reference Dodds, C. J., & Robson, J. D. (1973). The description of road surface roughness. Journal of Sound and Vibration, 31(2), 175–183.CrossRef Dodds, C. J., & Robson, J. D. (1973). The description of road surface roughness. Journal of Sound and Vibration, 31(2), 175–183.CrossRef
go back to reference Doyle, J. (1978). Guaranteed margins for LQG regulators. IEEE Transaction on Automatic Control, 23(4), 756–757.CrossRef Doyle, J. (1978). Guaranteed margins for LQG regulators. IEEE Transaction on Automatic Control, 23(4), 756–757.CrossRef
go back to reference Elbeheiry, S. A., Karnopp, D. C., Elaraby, M. E., & Abdelraaouf, A. M. (1995). Advanced ground vehicle suspension systems—A classified bibliography. Vehicle System Dynamics, 24, 231–258.CrossRef Elbeheiry, S. A., Karnopp, D. C., Elaraby, M. E., & Abdelraaouf, A. M. (1995). Advanced ground vehicle suspension systems—A classified bibliography. Vehicle System Dynamics, 24, 231–258.CrossRef
go back to reference Evers, W.-J. (2010, May). Improving driver comfort in commercial vehicles. Ph.D. Thesis, TU Eindhoven, Eindhoven. Evers, W.-J. (2010, May). Improving driver comfort in commercial vehicles. Ph.D. Thesis, TU Eindhoven, Eindhoven.
go back to reference Evers, W. J., Besselink, I. J. M., van der Knaap, A. C. M., & Nijmeijer, H. (2008). Analysis of a variable geometry active suspension. In Proceeding of International Symposium on Advanced Vehicle Control (AVEC) (pp. 350–355). Evers, W. J., Besselink, I. J. M., van der Knaap, A. C. M., & Nijmeijer, H. (2008). Analysis of a variable geometry active suspension. In Proceeding of International Symposium on Advanced Vehicle Control (AVEC) (pp. 350–355).
go back to reference Fearnsides, J. J., Hedrick, J. K., & Firouztash, H. (1974). Specification of ride quality criteria for transportation systems: The state of the art and new approach. High Speed Ground Transportation Journal, 8(2), 125–132. Fearnsides, J. J., Hedrick, J. K., & Firouztash, H. (1974). Specification of ride quality criteria for transportation systems: The state of the art and new approach. High Speed Ground Transportation Journal, 8(2), 125–132.
go back to reference Fridman, E. (2014). Introduction to time delay systems: Analysis and control. Birkhauser. Fridman, E. (2014). Introduction to time delay systems: Analysis and control. Birkhauser.
go back to reference Giorgetti, N., Bemporad, A., Tseng, H. E., & Hrovat, D. (2006). Hybrid model predictive control application towards optimal semi-active suspension. International Journal of Control, 79(5), 521–533.MathSciNetCrossRef Giorgetti, N., Bemporad, A., Tseng, H. E., & Hrovat, D. (2006). Hybrid model predictive control application towards optimal semi-active suspension. International Journal of Control, 79(5), 521–533.MathSciNetCrossRef
go back to reference Gobbi, M., & Mastinu, G. (2001). Analytical description and optimization of the dynamic behaviour of passively suspended road vehicles. Journal of Sound and Vibration, 245(3), 457–481.CrossRef Gobbi, M., & Mastinu, G. (2001). Analytical description and optimization of the dynamic behaviour of passively suspended road vehicles. Journal of Sound and Vibration, 245(3), 457–481.CrossRef
go back to reference Goran, M., & Smith, R. (1996). Insights gained from active suspension development. In Proceedings of the 26th FISITA Congress (pp. 2486–2514). Goran, M., & Smith, R. (1996). Insights gained from active suspension development. In Proceedings of the 26th FISITA Congress (pp. 2486–2514).
go back to reference Goran, M. B., Bachrach, B., & Smith, R. E. (1992). The design and development of a broad bandwidth active suspension concept car. SAE Paper No. 925100. In Proceedings of the 24th FISITA Congress, London, UK (pp. 231–252). Goran, M. B., Bachrach, B., & Smith, R. E. (1992). The design and development of a broad bandwidth active suspension concept car. SAE Paper No. 925100. In Proceedings of the 24th FISITA Congress, London, UK (pp. 231–252).
go back to reference Goto, T., Kizu, R., Sato, H., Ohnuma, T., & Ohno, H. (1990). Toyota active suspension control for the 1989 Celica. In Proceedings of the 22nd ISATA Conference, Paper 900007 (pp. 857–864). Goto, T., Kizu, R., Sato, H., Ohnuma, T., & Ohno, H. (1990). Toyota active suspension control for the 1989 Celica. In Proceedings of the 22nd ISATA Conference, Paper 900007 (pp. 857–864).
go back to reference Gysen, B. L., Paulides, J. J., Janssen, J. L., & Lomonova, E. A. (2010). Active electromagnetic suspension system for improved vehicle dynamics. IEEE Transactions on Vehicular Technology, 59(3), 1156–1163.CrossRef Gysen, B. L., Paulides, J. J., Janssen, J. L., & Lomonova, E. A. (2010). Active electromagnetic suspension system for improved vehicle dynamics. IEEE Transactions on Vehicular Technology, 59(3), 1156–1163.CrossRef
go back to reference Hac, A. (1992). Optimal linear preview control of active vehicle suspension. Vehicle System Dynamics, 21, 167–195.CrossRef Hac, A. (1992). Optimal linear preview control of active vehicle suspension. Vehicle System Dynamics, 21, 167–195.CrossRef
go back to reference Hancock, M. (2006). Vehicle handling control using active differentials. Ph.D. Thesis, University of Loughborough, UK. Hancock, M. (2006). Vehicle handling control using active differentials. Ph.D. Thesis, University of Loughborough, UK.
go back to reference Hedrick, J. K., & Butsuen, T. (1990). Invariant properties of automotive suspensions. Proceedings of the Institution of Mechanical Engineers, 204, 21–27.CrossRef Hedrick, J. K., & Butsuen, T. (1990). Invariant properties of automotive suspensions. Proceedings of the Institution of Mechanical Engineers, 204, 21–27.CrossRef
go back to reference Hrovat, D. (1982). A class of active LQG optimal actuators. Automatica, 18(1), 117–119.CrossRef Hrovat, D. (1982). A class of active LQG optimal actuators. Automatica, 18(1), 117–119.CrossRef
go back to reference Hrovat, D. (1988). Influence of unsprung weight on vehicle ride quality. Journal of Sound and Vibration, 124(3), 497–516.CrossRef Hrovat, D. (1988). Influence of unsprung weight on vehicle ride quality. Journal of Sound and Vibration, 124(3), 497–516.CrossRef
go back to reference Hrovat, D. (1990). Optimal active suspension structures for quarter-car vehicle models. Automatica, 26(5), 845–860.CrossRef Hrovat, D. (1990). Optimal active suspension structures for quarter-car vehicle models. Automatica, 26(5), 845–860.CrossRef
go back to reference Hrovat, D. (1991a). Optimal suspension performance for 2-D vehicle models. Journal of Sound and Vibration, 146(1), 93–110.CrossRef Hrovat, D. (1991a). Optimal suspension performance for 2-D vehicle models. Journal of Sound and Vibration, 146(1), 93–110.CrossRef
go back to reference Hrovat, D. (1991b, June). Optimal active suspensions for 3D vehicle models. In Proceedings of the 1991 American Control Conference, Boston (pp. 1534–1541). Hrovat, D. (1991b, June). Optimal active suspensions for 3D vehicle models. In Proceedings of the 1991 American Control Conference, Boston (pp. 1534–1541).
go back to reference Hrovat, D. (1993, June) Applications of optimal control to advanced automotive suspension design. Special Issue of the ASME Journal of Dynamic Systems Measurement and Control commemorating 50 years of the DSC division. Hrovat, D. (1993, June) Applications of optimal control to advanced automotive suspension design. Special Issue of the ASME Journal of Dynamic Systems Measurement and Control commemorating 50 years of the DSC division.
go back to reference Hrovat, D. (1997). Survey of advanced suspension developments and related optimal control applications. Automatica, 33(10), 1781–1817.MathSciNetCrossRef Hrovat, D. (1997). Survey of advanced suspension developments and related optimal control applications. Automatica, 33(10), 1781–1817.MathSciNetCrossRef
go back to reference Hrovat, D. (2014). Active and semi-active suspension control. In G. Mastinu & M. Plöchl (Eds.), Road and off-road vehicle system dynamics handbook. CRC Press.CrossRef Hrovat, D. (2014). Active and semi-active suspension control. In G. Mastinu & M. Plöchl (Eds.), Road and off-road vehicle system dynamics handbook. CRC Press.CrossRef
go back to reference Hrovat, D., & Hubbard, M. (1981). Optimum vehicle suspensions minimizing RMS rattle-space, sprung-mass acceleration and Jerk. ASME Journal of Dynamic Systems, Measurement and Control, 103(3).CrossRef Hrovat, D., & Hubbard, M. (1981). Optimum vehicle suspensions minimizing RMS rattle-space, sprung-mass acceleration and Jerk. ASME Journal of Dynamic Systems, Measurement and Control, 103(3).CrossRef
go back to reference Hrovat, D., & Margolis, D. L. (1975). Realistic road-track systems simulation using digital computers. In Proceedings of the Winter Computer Simulation Conference, Sacramento, CA. Hrovat, D., & Margolis, D. L. (1975). Realistic road-track systems simulation using digital computers. In Proceedings of the Winter Computer Simulation Conference, Sacramento, CA.
go back to reference Hrovat, D., Asgari, J., & Fodor, M. (2000). Automotive mechatronic systems. In C. T. Leondes (Ed.), Mechatronic systems, techniques and applications: Volume 2—Transportation and vehicle systems (pp. 1–98). Gordon and Breach Science Publishers, 2000. Hrovat, D., Asgari, J., & Fodor, M. (2000). Automotive mechatronic systems. In C. T. Leondes (Ed.), Mechatronic systems, techniques and applications: Volume 2—Transportation and vehicle systems (pp. 1–98). Gordon and Breach Science Publishers, 2000.
go back to reference Hrovat, D., Margolis, D. L., & Hubbard, M. (1988, September). An approach toward the optimal semi-active suspension. ASME Journal of Dynamic Systems, Measurement and Control, 110(3).CrossRef Hrovat, D., Margolis, D. L., & Hubbard, M. (1988, September). An approach toward the optimal semi-active suspension. ASME Journal of Dynamic Systems, Measurement and Control, 110(3).CrossRef
go back to reference Hrovat, D., Jankovic, M., Kolmanovsky, I., Magner, S., & Yanakiev, D. (2011a). Powertrain controls. In W. S. Levine (Ed.), The control handbook: Control system applications (2nd ed., pp. 2.1–2.48). CRC Press. Hrovat, D., Jankovic, M., Kolmanovsky, I., Magner, S., & Yanakiev, D. (2011a). Powertrain controls. In W. S. Levine (Ed.), The control handbook: Control system applications (2nd ed., pp. 2.1–2.48). CRC Press.
go back to reference Hrovat, D., Tseng, H. E., Lu, J., Deur, J., Assadian, F., Borrelli, F., & Falcone, P. (2011b). Vehicle controls. In W. S. Levine (Ed.), The control handbook: Control system applications (2nd ed., pp. 3.1–3.60). CRC Press. Hrovat, D., Tseng, H. E., Lu, J., Deur, J., Assadian, F., Borrelli, F., & Falcone, P. (2011b). Vehicle controls. In W. S. Levine (Ed.), The control handbook: Control system applications (2nd ed., pp. 3.1–3.60). CRC Press.
go back to reference Hrovat, D., Di Cairano, S., Tseng, H. E., & Kolmanovsky, I. V. (2012, October). The development of model predictive control in automotive industry: A survey. In Proceedings of the 2012 IEEE International Conference on Control Applications (CCA), Dubrovnik, Croatia (pp. 295–302). Hrovat, D., Di Cairano, S., Tseng, H. E., & Kolmanovsky, I. V. (2012, October). The development of model predictive control in automotive industry: A survey. In Proceedings of the 2012 IEEE International Conference on Control Applications (CCA), Dubrovnik, Croatia (pp. 295–302).
go back to reference Karlsson, N., Ricci, M., Hrovat, D., & Dahleh, M. (2000). A suboptimal nonlinear active suspension. Proceedings of the 2000 American Control Conference (Vol. 6, pp. 4036–4040). Karlsson, N., Ricci, M., Hrovat, D., & Dahleh, M. (2000). A suboptimal nonlinear active suspension. Proceedings of the 2000 American Control Conference (Vol. 6, pp. 4036–4040).
go back to reference Karlsson, N., Teel, A., & Hrovat, D. (2001a). A backstepping approach to control of active suspensions. Proceedings of the 40th IEEE Conference on Decision and Control (Vol. 5, pp. 4170–4175). Karlsson, N., Teel, A., & Hrovat, D. (2001a). A backstepping approach to control of active suspensions. Proceedings of the 40th IEEE Conference on Decision and Control (Vol. 5, pp. 4170–4175).
go back to reference Karlsson, N., Dahleh, M., & Hrovat, D. (2001b). Nonlinear active suspension with preview. Proceedings of the 2001 American Control Conference (Vol. 4, 2640–2645). Karlsson, N., Dahleh, M., & Hrovat, D. (2001b). Nonlinear active suspension with preview. Proceedings of the 2001 American Control Conference (Vol. 4, 2640–2645).
go back to reference Karnopp, D. C. (1968). Continuum model study of preview effects in actively suspended long trains. Journal of the Franklin Institute, 285(4), 251–260.MathSciNetCrossRef Karnopp, D. C. (1968). Continuum model study of preview effects in actively suspended long trains. Journal of the Franklin Institute, 285(4), 251–260.MathSciNetCrossRef
go back to reference Karnopp, D. C. (1987). Active suspension based on fast load levelers. Vehicle System Dynamics, 16, 355–380.CrossRef Karnopp, D. C. (1987). Active suspension based on fast load levelers. Vehicle System Dynamics, 16, 355–380.CrossRef
go back to reference Karnopp, D. C., & Rosenberg, R. C. (1970). Application of bond graph techniques to the study of vehicle drive line dynamics. ASME Journal of Basic Engineering, 355–362.CrossRef Karnopp, D. C., & Rosenberg, R. C. (1970). Application of bond graph techniques to the study of vehicle drive line dynamics. ASME Journal of Basic Engineering, 355–362.CrossRef
go back to reference Karnopp, D. C., & Trikha, A. K. (1969). A comparative study of optimization techniques for shock and vibration isolation. ASME Journal of Engineering for Industry, 91(4), 1128–1132.CrossRef Karnopp, D. C., & Trikha, A. K. (1969). A comparative study of optimization techniques for shock and vibration isolation. ASME Journal of Engineering for Industry, 91(4), 1128–1132.CrossRef
go back to reference Karnopp, D. C., Margolis, D. L., & Rosenberg, R. C. (2012). System dynamics: A unified approach (5th ed.). Hoboken, New Jersey: Wiley.CrossRef Karnopp, D. C., Margolis, D. L., & Rosenberg, R. C. (2012). System dynamics: A unified approach (5th ed.). Hoboken, New Jersey: Wiley.CrossRef
go back to reference Krtolica, R., & Hrovat, D. (1992, April). Optimal active suspension control based on a half-car model: An analytical solution. IEEE Transactions on Automatic Control, (37). Krtolica, R., & Hrovat, D. (1992, April). Optimal active suspension control based on a half-car model: An analytical solution. IEEE Transactions on Automatic Control, (37).
go back to reference Kwakernaak, H., & Sivan, R. (1972). Linear optimal control systems. New York: Wiley Interscience.MATH Kwakernaak, H., & Sivan, R. (1972). Linear optimal control systems. New York: Wiley Interscience.MATH
go back to reference Levine, W. S. (Ed.). (2011). The control handbook (2nd ed.). CRC Press, 2011. Levine, W. S. (Ed.). (2011). The control handbook (2nd ed.). CRC Press, 2011.
go back to reference Margolis, D. L. (1978). Bond graphs, normal modes, and vehicular structures. Vehicle System Dynamics, 7(1), 49–63.CrossRef Margolis, D. L. (1978). Bond graphs, normal modes, and vehicular structures. Vehicle System Dynamics, 7(1), 49–63.CrossRef
go back to reference Mastinu, G., & Ploechl, M. (2014). Road and off-road vehicle system dynamics handbook, Chapters 22 and 31. CRC Press. Mastinu, G., & Ploechl, M. (2014). Road and off-road vehicle system dynamics handbook, Chapters 22 and 31. CRC Press.
go back to reference Merker, T., Gaston, G., & Olaf, T. (2002). Active Body Control (ABC) the DaimlerChrysler active suspension and damping system. SAE Technical Paper 2002-21-0054. Merker, T., Gaston, G., & Olaf, T. (2002). Active Body Control (ABC) the DaimlerChrysler active suspension and damping system. SAE Technical Paper 2002-21-0054.
go back to reference Moran, T. (2004, October 11). A new suspension’s magnetic appeal. New York Times. Moran, T. (2004, October 11). A new suspension’s magnetic appeal. New York Times.
go back to reference Novak, M., & Valasek, M. (1996). A new concept of semi-active control of truck’s suspension. In Proceedings of AVEC’96 (pp. 141–152). Novak, M., & Valasek, M. (1996). A new concept of semi-active control of truck’s suspension. In Proceedings of AVEC’96 (pp. 141–152).
go back to reference Pacejka, H. B. (2006). Tyre and vehicle dynamics. Amsterdam: Elsevier.MATH Pacejka, H. B. (2006). Tyre and vehicle dynamics. Amsterdam: Elsevier.MATH
go back to reference Papageorgiou, C., & Smith, M. C. (2006). Positive real synthesis using matrix inequalities for mechanical networks: Application to vehicle suspension. IEEE Transactions on Control Systems Technology, 14(3), 423–435.CrossRef Papageorgiou, C., & Smith, M. C. (2006). Positive real synthesis using matrix inequalities for mechanical networks: Application to vehicle suspension. IEEE Transactions on Control Systems Technology, 14(3), 423–435.CrossRef
go back to reference Pevsner, J. M. (1957, January). Equalizing types of suspension. Automobile Engineer. Pevsner, J. M. (1957, January). Equalizing types of suspension. Automobile Engineer.
go back to reference Pilbeam, R. C., & Sharp, R. S. (1993). On the preview control of limited bandwidth vehicle suspensions. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Engineering, 207(D3), 185–194. Pilbeam, R. C., & Sharp, R. S. (1993). On the preview control of limited bandwidth vehicle suspensions. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Engineering, 207(D3), 185–194.
go back to reference Rajamani. (2012). Vehicle dynamics and control (2nd ed.). Springer. Rajamani. (2012). Vehicle dynamics and control (2nd ed.). Springer.
go back to reference Richard, J. P. (2003). Time-delay systems: An overview of some recent advances and open problems. Automatica, 39(10), 1667–1694.MathSciNetCrossRef Richard, J. P. (2003). Time-delay systems: An overview of some recent advances and open problems. Automatica, 39(10), 1667–1694.MathSciNetCrossRef
go back to reference Rill, G. (1983). The influence of correlated random road excitation processes on vehicle vibration. In Proceedings of the 8th IAVSD Symposium on the Dynamics of Vehicle on Roads and on Railway Tracks, Cambridge, Massachusetts (pp. 449–459).CrossRef Rill, G. (1983). The influence of correlated random road excitation processes on vehicle vibration. In Proceedings of the 8th IAVSD Symposium on the Dynamics of Vehicle on Roads and on Railway Tracks, Cambridge, Massachusetts (pp. 449–459).CrossRef
go back to reference Saberi, A., & Sannuti, P. (1987). Cheap and singular controls for linear quadratic regulators. IEEE Transaction on Automatic Control, 32, 208–219.MathSciNetCrossRef Saberi, A., & Sannuti, P. (1987). Cheap and singular controls for linear quadratic regulators. IEEE Transaction on Automatic Control, 32, 208–219.MathSciNetCrossRef
go back to reference Safonov, M., & Athans, M. (1977). Gain and phase margins for multiloop LQG regulators. IEEE Transactions on Automatic Control, 22(2), 361–368.MathSciNetCrossRef Safonov, M., & Athans, M. (1977). Gain and phase margins for multiloop LQG regulators. IEEE Transactions on Automatic Control, 22(2), 361–368.MathSciNetCrossRef
go back to reference Sage, A. P., & White, C. C. (1977). Optimum system control (2nd ed.). Englewood Cliffs: Prentice-Hall.MATH Sage, A. P., & White, C. C. (1977). Optimum system control (2nd ed.). Englewood Cliffs: Prentice-Hall.MATH
go back to reference Scheibe, F., & Smith, M. C. (2009). Analytical solutions for optimal ride comfort and tyre grip for passive vehicle suspensions. Vehicle System Dynamics, 47(10), 1229–1252.CrossRef Scheibe, F., & Smith, M. C. (2009). Analytical solutions for optimal ride comfort and tyre grip for passive vehicle suspensions. Vehicle System Dynamics, 47(10), 1229–1252.CrossRef
go back to reference Sevin, E., & Pilkey, W. D. (1971). Optimum shock and vibration isolation. The Shock and Vibration Information Center, United States Department of Defense. Sevin, E., & Pilkey, W. D. (1971). Optimum shock and vibration isolation. The Shock and Vibration Information Center, United States Department of Defense.
go back to reference Sharp, R. S. (1998). Variable geometry active suspension for cars. Computing & Control Engineering Journal, 9(5), 217–222.CrossRef Sharp, R. S. (1998). Variable geometry active suspension for cars. Computing & Control Engineering Journal, 9(5), 217–222.CrossRef
go back to reference Sharp, R. S., & Crolla, D. A. (1987). Road vehicle suspension design—A review. Vehicle System Dynamics, 16(3), 167–192.CrossRef Sharp, R. S., & Crolla, D. A. (1987). Road vehicle suspension design—A review. Vehicle System Dynamics, 16(3), 167–192.CrossRef
go back to reference Sherman, D. (2011). Tenneco’s Kinetic Suspension, the Anti Anti-Roll Bar, Car and Driver. July 2011 issue. Sherman, D. (2011). Tenneco’s Kinetic Suspension, the Anti Anti-Roll Bar, Car and Driver. July 2011 issue.
go back to reference Smith, C. C. (1976). On using the ISO standard to evaluate the ride quality of broad-band vibration spectra in transportation vehicles. ASME J. of Dynamic Systems, Measurement, and Control, 98(4), 440–443.CrossRef Smith, C. C. (1976). On using the ISO standard to evaluate the ride quality of broad-band vibration spectra in transportation vehicles. ASME J. of Dynamic Systems, Measurement, and Control, 98(4), 440–443.CrossRef
go back to reference Smith, C. C., McGehee, D. Y., Healey, A. J. (1978). The prediction of passenger riding comfort from acceleration data. ASME Journal of Dynamic Systems, Measurement, and Control, 100, 34–41.CrossRef Smith, C. C., McGehee, D. Y., Healey, A. J. (1978). The prediction of passenger riding comfort from acceleration data. ASME Journal of Dynamic Systems, Measurement, and Control, 100, 34–41.CrossRef
go back to reference Smith, M. C. (2002). Synthesis of mechanical networks: The inerter. IEEE Transactions on Automatic Control, 47(10), 1648–1662.MathSciNetCrossRef Smith, M. C. (2002). Synthesis of mechanical networks: The inerter. IEEE Transactions on Automatic Control, 47(10), 1648–1662.MathSciNetCrossRef
go back to reference Smith, M. C. (2011). Control for Formula One. In T. Samad & A. Annaswamy (Eds.), The Impact of Control Technology. IEEE Control Systems Society. Smith, M. C. (2011). Control for Formula One. In T. Samad & A. Annaswamy (Eds.), The Impact of Control Technology. IEEE Control Systems Society.
go back to reference Smith, M. C., & Walker, G. W. (2000). Performance limitations and constraints for active and passive suspensions: A mechanical multi-port approach. Vehicle System Dynamics, 33(3), 137–168.CrossRef Smith, M. C., & Walker, G. W. (2000). Performance limitations and constraints for active and passive suspensions: A mechanical multi-port approach. Vehicle System Dynamics, 33(3), 137–168.CrossRef
go back to reference Smith, M. C., & Wang, F. C. (2004). Performance benefits in passive vehicle suspensions employing inerters. Vehicle System Dynamics, 42(4), 235–257.CrossRef Smith, M. C., & Wang, F. C. (2004). Performance benefits in passive vehicle suspensions employing inerters. Vehicle System Dynamics, 42(4), 235–257.CrossRef
go back to reference Smith, R. E. (1982). Amplitude characteristics of Dearborn Test Track roadways. Ford Motor Company memorandum, SRM-82-26, Dearborn, MI. Smith, R. E. (1982). Amplitude characteristics of Dearborn Test Track roadways. Ford Motor Company memorandum, SRM-82-26, Dearborn, MI.
go back to reference Smith, R. E., & Sigman, D. R. (1981). Experimental verification of a linear rigid body model. Ford Motor Company Research Report. Smith, R. E., & Sigman, D. R. (1981). Experimental verification of a linear rigid body model. Ford Motor Company Research Report.
go back to reference Streiter, I. R. (2008). Active preview suspension system. ATZ Worldwide, 110(5), 4–11.CrossRef Streiter, I. R. (2008). Active preview suspension system. ATZ Worldwide, 110(5), 4–11.CrossRef
go back to reference Thompson, A. G. (1971). Design of active suspensions. Proceedings of the Institution of Mechanical Engineers, 185, 553–563.CrossRef Thompson, A. G. (1971). Design of active suspensions. Proceedings of the Institution of Mechanical Engineers, 185, 553–563.CrossRef
go back to reference Tseng, H. E., & Hedrick, J. K. (1994). Semi-active control laws-optimal and sub-optimal. Vehicle System Dynamics, 23(1), 545–569.CrossRef Tseng, H. E., & Hedrick, J. K. (1994). Semi-active control laws-optimal and sub-optimal. Vehicle System Dynamics, 23(1), 545–569.CrossRef
go back to reference Tseng, H. E., & Hrovat, D. (2015). State of the art survey: Active and semi-active suspension control. Vehicle System Dynamics, 53(7), 1034–1062.CrossRef Tseng, H. E., & Hrovat, D. (2015). State of the art survey: Active and semi-active suspension control. Vehicle System Dynamics, 53(7), 1034–1062.CrossRef
go back to reference Tseng, H. E., Ashrafi, B., Madau, D., et al. (1999). The development of vehicle stability control at Ford. IEEE ASME Transaction on Mechatronics, 4(3), 223–234.CrossRef Tseng, H. E., Ashrafi, B., Madau, D., et al. (1999). The development of vehicle stability control at Ford. IEEE ASME Transaction on Mechatronics, 4(3), 223–234.CrossRef
go back to reference Ulsoy, A. G., Hrovat, D., & Tseng, T. (1994). Stability robustness of LQ and LQG active suspensions. ASME Journal of Dynamic Systems, Measurement and Control, 116(1), 123–131.CrossRef Ulsoy, A. G., Hrovat, D., & Tseng, T. (1994). Stability robustness of LQ and LQG active suspensions. ASME Journal of Dynamic Systems, Measurement and Control, 116(1), 123–131.CrossRef
go back to reference Ulsoy, A. G., Peng, H., & Cakmakci, M. (2012). Automotive control systems. Cambridge University Press. Ulsoy, A. G., Peng, H., & Cakmakci, M. (2012). Automotive control systems. Cambridge University Press.
go back to reference van der Knapp, A. (1989). Design of a low power anti-roll/pitch system for a passenger car. Delft University of Technology, Vehicle Research Laboratory, Report 89.3VT.2628. van der Knapp, A. (1989). Design of a low power anti-roll/pitch system for a passenger car. Delft University of Technology, Vehicle Research Laboratory, Report 89.3VT.2628.
go back to reference Valasek, M., Kejval, J., Maca, J., & Smilauer, V. (2003). Bridge-friendly truck suspension. In Proceedings of the 18th IAVSD Symposium (vol. 41, pp. 13–22). Valasek, M., Kejval, J., Maca, J., & Smilauer, V. (2003). Bridge-friendly truck suspension. In Proceedings of the 18th IAVSD Symposium (vol. 41, pp. 13–22).
go back to reference Valášek, M., Novak, M., Šika, Z., & Vaculin, O. (1997). Extended ground-hook-new concept of semi-active control of truck’s suspension. Vehicle System Dynamics, 27(5–6), 289–303.CrossRef Valášek, M., Novak, M., Šika, Z., & Vaculin, O. (1997). Extended ground-hook-new concept of semi-active control of truck’s suspension. Vehicle System Dynamics, 27(5–6), 289–303.CrossRef
go back to reference Valasek, M., Sveda, J., & Sika, Z. (1998). Soil-friendly off-road suspension. Vehicle System Dynamics, 44(sup1), 479–488.CrossRef Valasek, M., Sveda, J., & Sika, Z. (1998). Soil-friendly off-road suspension. Vehicle System Dynamics, 44(sup1), 479–488.CrossRef
go back to reference Venhovens, P. T., & van der Knaap, A. M. (1995). Delft active suspension (DAS) background theory and physical realization. Smart Vehicles, 139–165. Venhovens, P. T., & van der Knaap, A. M. (1995). Delft active suspension (DAS) background theory and physical realization. Smart Vehicles, 139–165.
go back to reference Venhovens, P., van der Knaap, A., & Pacejka, H. (1992). Semiactive vibration and attitude control. In Proceedings of the International Symposium on Advanced Vehicle Control (AVEC) (pp. 170–175). Venhovens, P., van der Knaap, A., & Pacejka, H. (1992). Semiactive vibration and attitude control. In Proceedings of the International Symposium on Advanced Vehicle Control (AVEC) (pp. 170–175).
go back to reference Wada, T. (2016). Motion sickness in automated vehicles. In Proceedings of the AVEC ’16 Conference, Munich, Germany.CrossRef Wada, T. (2016). Motion sickness in automated vehicles. In Proceedings of the AVEC ’16 Conference, Munich, Germany.CrossRef
go back to reference Watanabe, Y., & Sharp, R. S. (1999). Mechanical and control design of a variable geometry active suspension system. Vehicle System Dynamics, 32(2–3), 217–235.CrossRef Watanabe, Y., & Sharp, R. S. (1999). Mechanical and control design of a variable geometry active suspension system. Vehicle System Dynamics, 32(2–3), 217–235.CrossRef
go back to reference Xu, L., Tseng, H. E., & Hrovat, D. (2016, July). Hybrid model predictive control of active suspension with travel limits and nonlinear tire contact force. In Proceedings of the 2016 ACC, Boston, MA. Xu, L., Tseng, H. E., & Hrovat, D. (2016, July). Hybrid model predictive control of active suspension with travel limits and nonlinear tire contact force. In Proceedings of the 2016 ACC, Boston, MA.
go back to reference Young, J. W., & Wormley, D. N. (1973). Optimization of linear vehicle suspensions subjected to simultaneous guideway and external force disturbances. ASME Journal of Dynamic Systems, Measurement, and Control, 213–219.CrossRef Young, J. W., & Wormley, D. N. (1973). Optimization of linear vehicle suspensions subjected to simultaneous guideway and external force disturbances. ASME Journal of Dynamic Systems, Measurement, and Control, 213–219.CrossRef
go back to reference van Zanten, A. (2014). Control of horizontal vehicle motion. In G. Mastinu & M. Ploechl (Eds.), Road and off-road vehicle system dynamics handbook (pp. 1094–1174). Boca Raton, FL: CRC Press. van Zanten, A. (2014). Control of horizontal vehicle motion. In G. Mastinu & M. Ploechl (Eds.), Road and off-road vehicle system dynamics handbook (pp. 1094–1174). Boca Raton, FL: CRC Press.
Metadata
Title
Optimal Vehicle Suspensions: A System-Level Study of Potential Benefits and Limitations
Authors
Davor Hrovat
H. Eric Tseng
Joško Deur
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-319-79008-4_3

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