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2012 | OriginalPaper | Buchkapitel

4. Algorithms in Active Vibration Control

verfasst von : Gergely Takács, Boris Rohal’-Ilkiv

Erschienen in: Model Predictive Vibration Control

Verlag: Springer London

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Abstract

With the advent of active vibration control (AVC) systems and their gradual transfer to commercial products, building a solid knowledge base on feedback systems and their components has become increasingly important for the vibration engineering community. In addition to the actuating elements that transfer the necessary dynamic changes to vibrating mechanical systems and sensors that provide feedback on vibration levels, the control strategy itself is also an essential component of the feedback system. This chapter introduces the reader to some control strategies that are routinely implemented in vibration attenuation systems. In addition to a brief theoretical primer on the control theory standing behind these strategies, examples of their use in AVC applications are given. The chapter is meant to provide a review of strategies alternative to the model predictive control (MPC) approach that is at the center of attention of this book. First, classical control strategies are introduced which are based on position or velocity feedback and use a fixed gain to compute control input. After a short discussion on the ever-so-popular proportional integral derivative (PID) controller, the focus is shifted to the essentials of optimization-based algorithms. The linear quadratic (LQ) controller is in close relationship with MPC and it is utilized both often and very effectively in vibration control. The underlying idea behind another optimization based strategy, the \({{\fancyscript{H}}}_{\infty}\) (H-infinity) controller is reviewed as well. The chapter is finished by a section on some of the more exotic control approaches, which due to their potential to tackle hysteresis and non-linearity can be very valuable for AVC. These soft computing approaches are genetic algorithms, neural networks and fuzzy control.

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Fußnoten
1
See Chap. 6 in [13].
 
2
Matrix D is omitted when accelerometers are not used for measuring output.
 
3
Nodes are also referred to as neurons, processing elements or units.
 
4
Also referred to as phenotypes or creatures.
 
5
Also referred to as genomes, genotypes and strings.
 
Literatur
3.
9.
Zurück zum Zitat Antsaklis PJ, Michel AN (2005) Linear systems, 2nd edn. Birkhäuser, Boston (originally published by McGraw-Hill, Englewood Cliffs, 1997) Antsaklis PJ, Michel AN (2005) Linear systems, 2nd edn. Birkhäuser, Boston (originally published by McGraw-Hill, Englewood Cliffs, 1997)
10.
Zurück zum Zitat Antsaklis PJ, Michel AN (2007) A Linear systems Primer. Birkhäuser, Boston (originally published by McGraw-Hill, Englewood Cliffs, 1997) Antsaklis PJ, Michel AN (2007) A Linear systems Primer. Birkhäuser, Boston (originally published by McGraw-Hill, Englewood Cliffs, 1997)
11.
Zurück zum Zitat Bandyopadhyay B, Janardhanan S (2004) Discrete-time sliding mode control: a multirate output feedback approach. In: Thoma M, Morari M (eds) Hybrid systems: computation and control, lecture notes in control and information sciences. Springer, Berlin Bandyopadhyay B, Janardhanan S (2004) Discrete-time sliding mode control: a multirate output feedback approach. In: Thoma M, Morari M (eds) Hybrid systems: computation and control, lecture notes in control and information sciences. Springer, Berlin
12.
Zurück zum Zitat Belavý C (2009) Teória Automatického Riadenia II: Návody na cvičenia, 1st edn. Slovenská vysoká škola technická v Bratislave: Strojnícka Fakulta, Bratislava, (Theory of automatic control ii: seminar guide) in Slovak language Belavý C (2009) Teória Automatického Riadenia II: Návody na cvičenia, 1st edn. Slovenská vysoká škola technická v Bratislave: Strojnícka Fakulta, Bratislava, (Theory of automatic control ii: seminar guide) in Slovak language
13.
Zurück zum Zitat Benaroya H, Nagurka ML (2010) Mechanical vibration: analysis, uncertainities and control, 3rd edn. CRC Press, Taylor & Francis Group, Boca Raton Benaroya H, Nagurka ML (2010) Mechanical vibration: analysis, uncertainities and control, 3rd edn. CRC Press, Taylor & Francis Group, Boca Raton
15.
Zurück zum Zitat Blondel V, Tsitsiklis JN (1996) NP-hardness of some linear control design problems. SIAM J Control Optim 35:2118–2127MathSciNetCrossRef Blondel V, Tsitsiklis JN (1996) NP-hardness of some linear control design problems. SIAM J Control Optim 35:2118–2127MathSciNetCrossRef
31.
Zurück zum Zitat De Cuyper J, Swevers J, Verhaegen M, Sas P (2000) \({\fancyscript{H}}_\infty\) feedback control for signal tracking on a 4 poster test rig in the automotive industry. In: 25th international conference on noise and vibration engineering, Leuven, pp 61–68 De Cuyper J, Swevers J, Verhaegen M, Sas P (2000) \({\fancyscript{H}}_\infty\) feedback control for signal tracking on a 4 poster test rig in the automotive industry. In: 25th international conference on noise and vibration engineering, Leuven, pp 61–68
32.
Zurück zum Zitat Doyle J, Francis B, Tannenbaum A (1992) Feedback control theory, 2nd edn. Macmillan Publishing, New York Doyle J, Francis B, Tannenbaum A (1992) Feedback control theory, 2nd edn. Macmillan Publishing, New York
36.
Zurück zum Zitat Espinosa J, Vandewalle J, Wertz V (2005) Fuzzy logic, identification and predictive control. Advances in industrial control. Springer, London Espinosa J, Vandewalle J, Wertz V (2005) Fuzzy logic, identification and predictive control. Advances in industrial control. Springer, London
42.
Zurück zum Zitat Fuller CR, Elliott SJ, Nelson PA (1996) Active control of vibration, 1st edn. Academic Press, San Francisco Fuller CR, Elliott SJ, Nelson PA (1996) Active control of vibration, 1st edn. Academic Press, San Francisco
46.
Zurück zum Zitat Green M, Limebeer D (1995) Linear robust control. Prentice Hall, Englewood CliffsMATH Green M, Limebeer D (1995) Linear robust control. Prentice Hall, Englewood CliffsMATH
49.
Zurück zum Zitat Hatch MR (2000) Vibration simulation using MATLAB and ANSYS, 1st edn. Chapman and Hall/CRC, Boca Raton Hatch MR (2000) Vibration simulation using MATLAB and ANSYS, 1st edn. Chapman and Hall/CRC, Boca Raton
50.
Zurück zum Zitat Hellerstein JL, Diao Y, Parekh S, Tilbury DM (2004) Feedback control of computing systems. Wiley/IEEE Press, HobokenCrossRef Hellerstein JL, Diao Y, Parekh S, Tilbury DM (2004) Feedback control of computing systems. Wiley/IEEE Press, HobokenCrossRef
55.
56.
Zurück zum Zitat Inman DJ (2007) Engineering vibrations, 3rd edn. Pearson International Education (Prentice Hall), Upper Saddle River Inman DJ (2007) Engineering vibrations, 3rd edn. Pearson International Education (Prentice Hall), Upper Saddle River
62.
63.
Zurück zum Zitat Karimi H, Zapateiro M, Luo N, Rossell J (2010) Feedback vibration control of a base-isolated building with delayed measurements using \(\fancyscript{H}_{\infty}\,\) techniques. In: American control conference (ACC), 2010, pp 750–55 Karimi H, Zapateiro M, Luo N, Rossell J (2010) Feedback vibration control of a base-isolated building with delayed measurements using \(\fancyscript{H}_{\infty}\,\) techniques. In: American control conference (ACC), 2010, pp 750–55
66.
Zurück zum Zitat Kim I, Kim YS (2009) Active vibration control of trim panel using a hybrid controller to regulate sound transmission. Int J Precis Eng Manuf 10:41–47. doi:10.1007/s12541-009-0007-2 Kim I, Kim YS (2009) Active vibration control of trim panel using a hybrid controller to regulate sound transmission. Int J Precis Eng Manuf 10:41–47. doi:10.​1007/​s12541-009-0007-2
67.
Zurück zum Zitat Krishnaswamy K, Rajamani R, Woo J, Cho Y (2005) Structural vibration control for broadband noise attenuation in enclosures. J Mech Sci Technol 19:1414–1423. doi:10.1007/BF03023900 Krishnaswamy K, Rajamani R, Woo J, Cho Y (2005) Structural vibration control for broadband noise attenuation in enclosures. J Mech Sci Technol 19:1414–1423. doi:10.​1007/​BF03023900
69.
Zurück zum Zitat Kvasnica M, Herceg M, Čirka L’, Fikar M (2009) Time-optimal control of Takagi-Sugeno fuzzy systems. In: Proceedings of the 10th European control conference, Budapest, pp 916–921 Kvasnica M, Herceg M, Čirka L’, Fikar M (2009) Time-optimal control of Takagi-Sugeno fuzzy systems. In: Proceedings of the 10th European control conference, Budapest, pp 916–921
70.
Zurück zum Zitat Kvasnica M, Herceg M, Čirka L’, Fikar M (2011) Explicit minimum-time controllers for fuzzy systems. In: Selected topics on constrained and nonlinear control. Preprints, STU Bratislava-NTNU Trondheim, pp 287–292 Kvasnica M, Herceg M, Čirka L’, Fikar M (2011) Explicit minimum-time controllers for fuzzy systems. In: Selected topics on constrained and nonlinear control. Preprints, STU Bratislava-NTNU Trondheim, pp 287–292
73.
Zurück zum Zitat Kwakernaak H, Sivan R (1972) Linear optimal control systems. Wiley-Interscience/Wiley, New YorkMATH Kwakernaak H, Sivan R (1972) Linear optimal control systems. Wiley-Interscience/Wiley, New YorkMATH
74.
Zurück zum Zitat Landau ID, Zito G (2006) Digital control systems: design, identification and implementation. Communications and control engineering. Springer, London Landau ID, Zito G (2006) Digital control systems: design, identification and implementation. Communications and control engineering. Springer, London
76.
Zurück zum Zitat Landis T, NASA Dryden Flight Research Center (NASA-DFRC) (2001) Full scale dynamic model of the EOS-AM1 satellite. Image ID: EC01-0288-2 Landis T, NASA Dryden Flight Research Center (NASA-DFRC) (2001) Full scale dynamic model of the EOS-AM1 satellite. Image ID: EC01-0288-2
80.
81.
Zurück zum Zitat Lin Q, Ermanni P (2004) Semi-active damping of a clamped plate using PZT. Int J Solids Struct 41:1741–1752MATHCrossRef Lin Q, Ermanni P (2004) Semi-active damping of a clamped plate using PZT. Int J Solids Struct 41:1741–1752MATHCrossRef
83.
Zurück zum Zitat Luo T, Hu Y (2002) Vibration suppression techniques for optical inter-satellite communications. In: IEEE 2002 international conference on communications, circuits and systems and west sino expositions, vol 1, pp 585–589. doi:10.1109/ICCCAS.2002.1180687 Luo T, Hu Y (2002) Vibration suppression techniques for optical inter-satellite communications. In: IEEE 2002 international conference on communications, circuits and systems and west sino expositions, vol 1, pp 585–589. doi:10.​1109/​ICCCAS.​2002.​1180687
87.
Zurück zum Zitat Michels K, Klawonn F, Kruse R, Nurnberger A (2006) Fuzzy control: fundamentals, stability and design of fuzzy controllers, studies in fuzziness and soft computing, vol 200. Springer, Berlin Michels K, Klawonn F, Kruse R, Nurnberger A (2006) Fuzzy control: fundamentals, stability and design of fuzzy controllers, studies in fuzziness and soft computing, vol 200. Springer, Berlin
94.
Zurück zum Zitat Passino KM, Yurkovich S (1998) Fuzzy control. Addison-Wesley, Berkley Passino KM, Yurkovich S (1998) Fuzzy control. Addison-Wesley, Berkley
96.
Zurück zum Zitat Preumont A (2002) Vibration control of active structures, 2nd edn. Kluwer Academic Publishers, Dordrecht Preumont A (2002) Vibration control of active structures, 2nd edn. Kluwer Academic Publishers, Dordrecht
97.
Zurück zum Zitat Preumont A, Seto K (2008) Active control of structures, 3rd edn. Wiley, Chichester Preumont A, Seto K (2008) Active control of structures, 3rd edn. Wiley, Chichester
99.
Zurück zum Zitat Rios-Gutiérrez M, Silva-Navarro G (2010) Suppression of mechanical vibrations in a building like structure by means of a piezoelectric patch actuator and positive acceleration feedback. In: 2010 7th international conference on electrical engineering computing science and automatic control (CCE), pp 452–457. doi:10.1109/ICEEE.2010.5608581 Rios-Gutiérrez M, Silva-Navarro G (2010) Suppression of mechanical vibrations in a building like structure by means of a piezoelectric patch actuator and positive acceleration feedback. In: 2010 7th international conference on electrical engineering computing science and automatic control (CCE), pp 452–457. doi:10.​1109/​ICEEE.​2010.​5608581
104.
Zurück zum Zitat Skogestad S, Postlethwaite I (2005) Multivariable feedback control: analysis and design, 2nd edn. Wiley, Chichester Skogestad S, Postlethwaite I (2005) Multivariable feedback control: analysis and design, 2nd edn. Wiley, Chichester
105.
Zurück zum Zitat Snyder SD (2000) Active noise control primer. Modern acoustics and signal processing. Springer/AIP Press, New YorkCrossRef Snyder SD (2000) Active noise control primer. Modern acoustics and signal processing. Springer/AIP Press, New YorkCrossRef
106.
Zurück zum Zitat Song G, Qiao PZ, Bibienda WK, Zhou GP (2002) Active vibration damping of composite beam using smart sensors and actuators. J Aerosp Eng 15(3):97–103CrossRef Song G, Qiao PZ, Bibienda WK, Zhou GP (2002) Active vibration damping of composite beam using smart sensors and actuators. J Aerosp Eng 15(3):97–103CrossRef
108.
Zurück zum Zitat Sun J, Yang Q (2007) Automotive suspension system with an analytic fuzzy control strategy. In: IEEE international conference on vehicular electronics and safety, 2007. ICVES, pp 1–4. doi:10.1109/ICVES.2007.4456375 Sun J, Yang Q (2007) Automotive suspension system with an analytic fuzzy control strategy. In: IEEE international conference on vehicular electronics and safety, 2007. ICVES, pp 1–4. doi:10.​1109/​ICVES.​2007.​4456375
114.
Zurück zum Zitat Šolek P (2009) Numerical analyses of piezoelectric elements, 1st edn. Slovenská technická univerzita v Bratislave, Nakladatel’stvo STU, Bratislava Šolek P (2009) Numerical analyses of piezoelectric elements, 1st edn. Slovenská technická univerzita v Bratislave, Nakladatel’stvo STU, Bratislava
118.
Zurück zum Zitat Williams RL II, Lawrence DA (2007) Linear state-space control systems. Wiley, HobokenCrossRef Williams RL II, Lawrence DA (2007) Linear state-space control systems. Wiley, HobokenCrossRef
124.
Zurück zum Zitat Zames G (1979) Optimal sensitivity and feedback; weighted seminorms, approximate inverses, and plant invariant schemes. In: Proceedings 17th of the Allerton conference, pp 744–752 Zames G (1979) Optimal sensitivity and feedback; weighted seminorms, approximate inverses, and plant invariant schemes. In: Proceedings 17th of the Allerton conference, pp 744–752
128.
Zurück zum Zitat Zhang H, Liu D (2006) Fuzzy modeling and fuzzy control. Control engineering. Birkhäuser, Boston Zhang H, Liu D (2006) Fuzzy modeling and fuzzy control. Control engineering. Birkhäuser, Boston
129.
Zurück zum Zitat Zheng K, Zhang Y, Yang Y, Yan S, Dou L, Chen J (2008) Active vibration control of adaptive truss structure using fuzzy neural network. In: Control and decision conference. CCDC 2008. Chinese, pp 4872–4875. doi:10.1109/CCDC.2008.4598254 Zheng K, Zhang Y, Yang Y, Yan S, Dou L, Chen J (2008) Active vibration control of adaptive truss structure using fuzzy neural network. In: Control and decision conference. CCDC 2008. Chinese, pp 4872–4875. doi:10.​1109/​CCDC.​2008.​4598254
133.
Zurück zum Zitat Zmeu K, Shipitko E (2005) Predictive controller design with offline model learning for flexible beam control. In: Proceedings of the 2005 international conference on physics and control, pp 345–350. doi:10.1109/PHYCON.2005.1514005 Zmeu K, Shipitko E (2005) Predictive controller design with offline model learning for flexible beam control. In: Proceedings of the 2005 international conference on physics and control, pp 345–350. doi:10.​1109/​PHYCON.​2005.​1514005
Metadaten
Titel
Algorithms in Active Vibration Control
verfasst von
Gergely Takács
Boris Rohal’-Ilkiv
Copyright-Jahr
2012
Verlag
Springer London
DOI
https://doi.org/10.1007/978-1-4471-2333-0_4

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