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2019 | OriginalPaper | Buchkapitel

22. Experimental Implementation of a Nonlinear Feedback Controller for a Stroke Limited Inertial Actuator

verfasst von : M. Dal Borgo, M. Ghandchi Tehrani, S. J. Elliott

Erschienen in: Structural Health Monitoring, Photogrammetry & DIC, Volume 6

Verlag: Springer International Publishing

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Abstract

This research consists of theoretical and experimental studies of a stroke limited inertial, or proof mass, actuator used in active vibration control. Traditionally, inertial actuators are used with velocity feedback controllers to reduce structural vibrations. However, physical limits, such as stroke saturation, can affect the behaviour and the stability of the control system. In fact, stroke saturation results in impulse like excitations, which are transmitted to the structure that is liable to damage. Moreover, the shocks produced by the impacts are in phase with the velocity of the structure. This produces an input force, which reduces the overall damping and eventually leads to limit cycle oscillations and the instability of the system. This paper examines the experimental implementation of a nonlinear feedback controller to avoid collisions of the proof mass with the actuator’s end stops, hence preventing the instability of the system due to stroke saturation. Firstly, the nonlinear behaviour of the stroke limited inertial actuator is reported. This allows identifying the stroke length of the proof mass. Secondly, the nonlinear feedback controller is presented, which acts as a second loop alongside the velocity feedback control loop. The main purpose of the nonlinear feedback controller is to increase the damping of the actuator when the poof mass gets close to the end stops. Finally, the experimental implementation of the nonlinear controller is investigated and a comparison in terms of performance and stability of the control system is made when both the feedback loops or only the velocity feedback loop are present.

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Literatur
1.
Zurück zum Zitat Meirovitch, L.: Dynamics and Control of Structures. Wiley, New York (1990)MATH Meirovitch, L.: Dynamics and Control of Structures. Wiley, New York (1990)MATH
2.
Zurück zum Zitat Fuller, C.C., Elliott, S.J., Nelson, P.A.: Active Control of Vibration. Academic Press, San Diego, CA (1996)CrossRef Fuller, C.C., Elliott, S.J., Nelson, P.A.: Active Control of Vibration. Academic Press, San Diego, CA (1996)CrossRef
3.
Zurück zum Zitat Elliott, S.J.: Signal Processing for Active Control. Academic Press, London, UK (2001)CrossRef Elliott, S.J.: Signal Processing for Active Control. Academic Press, London, UK (2001)CrossRef
4.
5.
Zurück zum Zitat Fahy, F., Gardonio, P.: Sound and Structural Vibration: Radiation, Transmission and Response, 2nd edn. Elsevier Science, Oxford, UK (2007)CrossRef Fahy, F., Gardonio, P.: Sound and Structural Vibration: Radiation, Transmission and Response, 2nd edn. Elsevier Science, Oxford, UK (2007)CrossRef
6.
Zurück zum Zitat Wagg, D.J., Neild, S.A.: Nonlinear Vibration with Control: For Flexible and Adaptive Structures. Springer, Dordrecht (2010)CrossRef Wagg, D.J., Neild, S.A.: Nonlinear Vibration with Control: For Flexible and Adaptive Structures. Springer, Dordrecht (2010)CrossRef
7.
Zurück zum Zitat Preumont, A.: Vibration Control of Active Structures: An Introduction. Springer, Dordrecht (2011)CrossRef Preumont, A.: Vibration Control of Active Structures: An Introduction. Springer, Dordrecht (2011)CrossRef
8.
Zurück zum Zitat Gardonio, P., Díaz, C.G.: Downscaling of proof mass electrodynamic actuators for decentralized velocity feedback control on a panel. Smart Mater. Struct. 19(2), 025004 (2010)CrossRef Gardonio, P., Díaz, C.G.: Downscaling of proof mass electrodynamic actuators for decentralized velocity feedback control on a panel. Smart Mater. Struct. 19(2), 025004 (2010)CrossRef
9.
Zurück zum Zitat Rohlfing, J., Gardonio, P., Elliott, S.J.: Base impedance of velocity feedback control units with proof-mass electrodynamic actuators. J. Sound Vib. 330(20), 4661–4675 (2011)CrossRef Rohlfing, J., Gardonio, P., Elliott, S.J.: Base impedance of velocity feedback control units with proof-mass electrodynamic actuators. J. Sound Vib. 330(20), 4661–4675 (2011)CrossRef
10.
Zurück zum Zitat Rohlfing, J., Elliott, S.J., Gardonio, P.: Feedback compensator for control units with proof-mass electrodynamic actuators. J. Sound Vib. 331(15), 3437–3450 (2012)CrossRef Rohlfing, J., Elliott, S.J., Gardonio, P.: Feedback compensator for control units with proof-mass electrodynamic actuators. J. Sound Vib. 331(15), 3437–3450 (2012)CrossRef
11.
Zurück zum Zitat Díaz, C.G., Paulitsch, C., Gardonio, P.: Smart panel with active damping units. Implementation of decentralized control. J. Acoust. Soc. Am. 124(2), 898–910 (2008)CrossRef Díaz, C.G., Paulitsch, C., Gardonio, P.: Smart panel with active damping units. Implementation of decentralized control. J. Acoust. Soc. Am. 124(2), 898–910 (2008)CrossRef
12.
Zurück zum Zitat Díaz, C.G., Paulitsch, C., Gardonio, P.: Active damping control unit using a small scale proof mass electrodynamic actuator. J. Acoust. Soc. Am. 124(2), 886–897 (2008)CrossRef Díaz, C.G., Paulitsch, C., Gardonio, P.: Active damping control unit using a small scale proof mass electrodynamic actuator. J. Acoust. Soc. Am. 124(2), 886–897 (2008)CrossRef
13.
Zurück zum Zitat Paulitsch, C., Gardonio, P., Elliott, S.J.: Active vibration control using an inertial actuator with internal damping. J. Acoust. Soc. Am. 119(4), 2131–2140 (2006)CrossRef Paulitsch, C., Gardonio, P., Elliott, S.J.: Active vibration control using an inertial actuator with internal damping. J. Acoust. Soc. Am. 119(4), 2131–2140 (2006)CrossRef
14.
Zurück zum Zitat Baumann, O.N., Elliott, S.J.: The stability of decentralized multichannel velocity feedback controllers using inertial actuators. J. Acoust. Soc. Am. 121(1), 188–196 (2007)CrossRef Baumann, O.N., Elliott, S.J.: The stability of decentralized multichannel velocity feedback controllers using inertial actuators. J. Acoust. Soc. Am. 121(1), 188–196 (2007)CrossRef
15.
Zurück zum Zitat Paulitsch, C., Gardonio, P., Elliott, S.J., Sas, P., Boonen, R.: Design of a lightweight, electrodynamic, inertial actuator with integrated velocity sensor for active vibration control of a thin lightly-damped panel. In: Proceedings of ISMA 2004: International Conference on Noise and Vibration Engineering, Leuven, pp. 239–253, 20–22 Sept 2004 Paulitsch, C., Gardonio, P., Elliott, S.J., Sas, P., Boonen, R.: Design of a lightweight, electrodynamic, inertial actuator with integrated velocity sensor for active vibration control of a thin lightly-damped panel. In: Proceedings of ISMA 2004: International Conference on Noise and Vibration Engineering, Leuven, pp. 239–253, 20–22 Sept 2004
16.
Zurück zum Zitat Paulitsch, C.: Vibration control with electrodynamic actuators. Institute of Sound and Vibration Research, Ph.D. Thesis, University of Southampton (2005) Paulitsch, C.: Vibration control with electrodynamic actuators. Institute of Sound and Vibration Research, Ph.D. Thesis, University of Southampton (2005)
17.
Zurück zum Zitat Zvonar, G.A., Lindner, D.K., Borojevic, D.: Nonlinear control of a proof-mass actuator to prevent stroke saturation. In: Dynamics and Control of Large Structures; Proceedings of the 8th VPI&SU Symposium, Blacksburg, pp. 37–48, 6–8 May 1991 Zvonar, G.A., Lindner, D.K., Borojevic, D.: Nonlinear control of a proof-mass actuator to prevent stroke saturation. In: Dynamics and Control of Large Structures; Proceedings of the 8th VPI&SU Symposium, Blacksburg, pp. 37–48, 6–8 May 1991
18.
Zurück zum Zitat Lindner, D.K., Zvonar, G.A., Borojevic, D.: Limit cycle analysis of a nonlinear controller for a proof-mass actuator. In: AIAA Dynamics Specialists Conference, Dallas, pp. 585–594, 16–17 Apr 1992 Lindner, D.K., Zvonar, G.A., Borojevic, D.: Limit cycle analysis of a nonlinear controller for a proof-mass actuator. In: AIAA Dynamics Specialists Conference, Dallas, pp. 585–594, 16–17 Apr 1992
19.
Zurück zum Zitat Lindner, D.K., Celano, T.P., Ide, E.N.: Vibration suppression using a proofmass actuator operating in stroke/force saturation. J. Vib. Acoust. Trans. ASME. 113(4), 423–433 (1991)CrossRef Lindner, D.K., Celano, T.P., Ide, E.N.: Vibration suppression using a proofmass actuator operating in stroke/force saturation. J. Vib. Acoust. Trans. ASME. 113(4), 423–433 (1991)CrossRef
20.
Zurück zum Zitat Lindner, D.K., Zvonar, G.A., Borojevic, D.: Performance and control of proof-mass actuators accounting for stroke saturation. J. Guid. Control Dyn. 17(5), 1103–1108 (1994)CrossRef Lindner, D.K., Zvonar, G.A., Borojevic, D.: Performance and control of proof-mass actuators accounting for stroke saturation. J. Guid. Control Dyn. 17(5), 1103–1108 (1994)CrossRef
21.
Zurück zum Zitat Lindner, D.K., Zvonar, G.A., Borojevic, D.: Nonlinear control of a proof-mass actuator. J. Guid. Control Dyn. 20(3), 464–470 (1997)CrossRef Lindner, D.K., Zvonar, G.A., Borojevic, D.: Nonlinear control of a proof-mass actuator. J. Guid. Control Dyn. 20(3), 464–470 (1997)CrossRef
22.
Zurück zum Zitat Scruggs, J., Lindner, D.: Optimal sizing of a proof-mass actuator. In: 40th Structures, Structural Dynamics, and Materials Conference, St. Louis, 12–15 Apr 1999 Scruggs, J., Lindner, D.: Optimal sizing of a proof-mass actuator. In: 40th Structures, Structural Dynamics, and Materials Conference, St. Louis, 12–15 Apr 1999
23.
Zurück zum Zitat Baumann, O.N., Elliott, S.J.: Destabilization of velocity feedback controllers with stroke limited inertial actuators. J. Acoust. Soc. Am. 121(5), EL211–EL217 (2007)CrossRef Baumann, O.N., Elliott, S.J.: Destabilization of velocity feedback controllers with stroke limited inertial actuators. J. Acoust. Soc. Am. 121(5), EL211–EL217 (2007)CrossRef
24.
Zurück zum Zitat Wilmshurst, L.I.: Analysis and control of nonlinear vibration in inertial actuators. Institute of Sound and Vibration Research, Ph.D. Thesis, University of Southampton (2015) Wilmshurst, L.I.: Analysis and control of nonlinear vibration in inertial actuators. Institute of Sound and Vibration Research, Ph.D. Thesis, University of Southampton (2015)
25.
Zurück zum Zitat Dal Borgo, M., Ghandchi Tehrani, M., Elliott, S.J.: Dynamic analysis of nonlinear behaviour in inertial actuators. In: 13th International Conference on Motion and Vibration Control (MOVIC 2016) and the 12th International Conference on Recent Advances in Structural Dynamics (RASD 2016), Southampton, 012027, 4–6 July 2016 Dal Borgo, M., Ghandchi Tehrani, M., Elliott, S.J.: Dynamic analysis of nonlinear behaviour in inertial actuators. In: 13th International Conference on Motion and Vibration Control (MOVIC 2016) and the 12th International Conference on Recent Advances in Structural Dynamics (RASD 2016), Southampton, 012027, 4–6 July 2016
26.
Zurück zum Zitat Politansky, H., Pilkey, W.D.: Suboptimal feedback vibration control of a beam with a proof-mass actuator. J. Guid. Control Dyn. 12(5), 691–697 (1989)MathSciNetCrossRef Politansky, H., Pilkey, W.D.: Suboptimal feedback vibration control of a beam with a proof-mass actuator. J. Guid. Control Dyn. 12(5), 691–697 (1989)MathSciNetCrossRef
27.
Zurück zum Zitat Wilmshurst, L.I., Ghandchi Tehrani, M., Elliott, S.J.: Nonlinear vibrations of a stroke-saturated intertial actuator. In: 11th International Conference on Recent Advances in Structural Dynamics (RASD 2013), Pisa, 1–3 July 2013 Wilmshurst, L.I., Ghandchi Tehrani, M., Elliott, S.J.: Nonlinear vibrations of a stroke-saturated intertial actuator. In: 11th International Conference on Recent Advances in Structural Dynamics (RASD 2013), Pisa, 1–3 July 2013
28.
Zurück zum Zitat Wilmshurst, L.I., Ghandchi Tehrani, M., Elliott, S.J.: Nonlinear identification of proof-mass actuators accounting for stroke saturation. In: Proceedings of ISMA 2014: International Conference on Noise and Vibration Engineering, Leuven, pp. 209–223, 15–17 Sept 2014 Wilmshurst, L.I., Ghandchi Tehrani, M., Elliott, S.J.: Nonlinear identification of proof-mass actuators accounting for stroke saturation. In: Proceedings of ISMA 2014: International Conference on Noise and Vibration Engineering, Leuven, pp. 209–223, 15–17 Sept 2014
30.
Zurück zum Zitat Worden, K.: Data-processing and experiment design for the restoring force surface method, part 1: integration and differentiation of measured time data. Mech. Syst. Signal Process. 4(4), 295–319 (1990)CrossRef Worden, K.: Data-processing and experiment design for the restoring force surface method, part 1: integration and differentiation of measured time data. Mech. Syst. Signal Process. 4(4), 295–319 (1990)CrossRef
31.
Zurück zum Zitat Worden, K., Tomlinson, G.R.: Nonlinearity in Structural Dynamics: Detection, Identification and Modelling. Institute of Physics, Bristol (2000)CrossRef Worden, K., Tomlinson, G.R.: Nonlinearity in Structural Dynamics: Detection, Identification and Modelling. Institute of Physics, Bristol (2000)CrossRef
32.
Zurück zum Zitat Detroux, T., Renson, L., Masset, L., Kerschen, G.: The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems. Comput. Meth. Appl. Mech. Eng. 296, 18–38 (2015)MathSciNetCrossRef Detroux, T., Renson, L., Masset, L., Kerschen, G.: The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems. Comput. Meth. Appl. Mech. Eng. 296, 18–38 (2015)MathSciNetCrossRef
33.
Zurück zum Zitat Pavlov, A., van de Wouw, N., Nijmeijer, H.: Frequency response functions and Bode plots for nonlinear convergent systems. In: Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, pp. 3765–3770, 13–15 Dec 2006 Pavlov, A., van de Wouw, N., Nijmeijer, H.: Frequency response functions and Bode plots for nonlinear convergent systems. In: Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, pp. 3765–3770, 13–15 Dec 2006
34.
Zurück zum Zitat Dal Borgo, M., Ghandchi Tehrani, M., Elliott, S.J.: Nonlinear control and stability of a stroke limited inertial actuator in velocity feedback. In: 9th European Nonlinear Dynamics Conference ENOC2017, Budapest, 25–30 June 2017 Dal Borgo, M., Ghandchi Tehrani, M., Elliott, S.J.: Nonlinear control and stability of a stroke limited inertial actuator in velocity feedback. In: 9th European Nonlinear Dynamics Conference ENOC2017, Budapest, 25–30 June 2017
35.
Zurück zum Zitat Dal Borgo, M., Ghandchi Tehrani, M., Elliott, S.J.: Dynamic analysis of two nonlinear inertial actuators in active vibration control. In: 27th International Conference on Noise and Vibration Engineering (ISMA2016), Leuven, 19–21 Sept 2016 Dal Borgo, M., Ghandchi Tehrani, M., Elliott, S.J.: Dynamic analysis of two nonlinear inertial actuators in active vibration control. In: 27th International Conference on Noise and Vibration Engineering (ISMA2016), Leuven, 19–21 Sept 2016
36.
Zurück zum Zitat Wilmshurst, L.I., Ghandchi Tehrani, M., Elliott, S.J.: Active control and stability analysis of flexible structures using nonlinear proof-mass actuators. In: IX International Conference on Structural Dynamics (Eurodyn 2014), Porto, pp. 1571–1578, 30 June – 2 July 2014 Wilmshurst, L.I., Ghandchi Tehrani, M., Elliott, S.J.: Active control and stability analysis of flexible structures using nonlinear proof-mass actuators. In: IX International Conference on Structural Dynamics (Eurodyn 2014), Porto, pp. 1571–1578, 30 June – 2 July 2014
37.
Zurück zum Zitat Wilmshurst, L.I., Ghandchi Tehrani, M., Elliott, S.J.: Preventing of stroke saturation in inertial actuators using a detection scheme. In: The 21st International Congress on Sound and Vibration (ICSV21), Beijing, 13–17 July 2014 Wilmshurst, L.I., Ghandchi Tehrani, M., Elliott, S.J.: Preventing of stroke saturation in inertial actuators using a detection scheme. In: The 21st International Congress on Sound and Vibration (ICSV21), Beijing, 13–17 July 2014
38.
Zurück zum Zitat Gilbert, E.G., Tan, K.T.: Linear systems with state and control constraints: the theory and application of maximal output admissible sets. IEEE Trans. Automat. Contr. 36(9), 1008–1020 (1991)MathSciNetCrossRef Gilbert, E.G., Tan, K.T.: Linear systems with state and control constraints: the theory and application of maximal output admissible sets. IEEE Trans. Automat. Contr. 36(9), 1008–1020 (1991)MathSciNetCrossRef
39.
Zurück zum Zitat Díaz, I.M., Pereira, E., Reynolds, P.: Integral resonant control scheme for cancelling human-induced vibrations in light-weight pedestrian structures. Struct. Control Health Monit. 19(1), 55–69 (2012)CrossRef Díaz, I.M., Pereira, E., Reynolds, P.: Integral resonant control scheme for cancelling human-induced vibrations in light-weight pedestrian structures. Struct. Control Health Monit. 19(1), 55–69 (2012)CrossRef
40.
Zurück zum Zitat Díaz, I.M., Reynolds, P.: On-off nonlinear active control of floor vibrations. Mech. Syst. Signal Process. 24(6), 1711–1726 (2010)CrossRef Díaz, I.M., Reynolds, P.: On-off nonlinear active control of floor vibrations. Mech. Syst. Signal Process. 24(6), 1711–1726 (2010)CrossRef
41.
Zurück zum Zitat Hudson, E.J., Reynolds, P., Nyawako, D.S.: Active vibration control of a multi-panel floor area. In: Structures Congress 2014, Boston, pp. 2500–2511, 2014 Hudson, E.J., Reynolds, P., Nyawako, D.S.: Active vibration control of a multi-panel floor area. In: Structures Congress 2014, Boston, pp. 2500–2511, 2014
42.
Zurück zum Zitat Noormohammadi, N., Reynolds, P.: Experimental investigation of dynamic performance of a prototype hybrid tuned mass damper under human excitation. In: Active and Passive Smart Structures and Integrated Systems 2013, San Diego, 10–14 Mar 2013 Noormohammadi, N., Reynolds, P.: Experimental investigation of dynamic performance of a prototype hybrid tuned mass damper under human excitation. In: Active and Passive Smart Structures and Integrated Systems 2013, San Diego, 10–14 Mar 2013
43.
Zurück zum Zitat Rohlfing, J., May, T., Walter, L., Millitzer, J.: Self-tuning velocity feedback control for a time varying structure using a voltage driven electrodynamic inertial mass actuator. In: 27th International Conference on Noise and Vibration Engineering (ISMA2016), Leuven, 19–21 Sept 2016 Rohlfing, J., May, T., Walter, L., Millitzer, J.: Self-tuning velocity feedback control for a time varying structure using a voltage driven electrodynamic inertial mass actuator. In: 27th International Conference on Noise and Vibration Engineering (ISMA2016), Leuven, 19–21 Sept 2016
44.
Zurück zum Zitat Inman, D.J.: Control/structure interaction: effects of actuator dynamics. In: Dynamics Specialists Conference, Structures, Structural Dynamics, and Materials, Long Beach, pp. 507–533, 5–6 Apr 1990 Inman, D.J.: Control/structure interaction: effects of actuator dynamics. In: Dynamics Specialists Conference, Structures, Structural Dynamics, and Materials, Long Beach, pp. 507–533, 5–6 Apr 1990
45.
Zurück zum Zitat Gardonio, P., Brennan, M.J.: Mobility and impedance methods in structural dynamics. In: Fahy, F. (ed.) Advanced Applications in Acoustics, Noise and Vibration, pp. 389–447. Taylor and Francis, London (2004) Gardonio, P., Brennan, M.J.: Mobility and impedance methods in structural dynamics. In: Fahy, F. (ed.) Advanced Applications in Acoustics, Noise and Vibration, pp. 389–447. Taylor and Francis, London (2004)
Metadaten
Titel
Experimental Implementation of a Nonlinear Feedback Controller for a Stroke Limited Inertial Actuator
verfasst von
M. Dal Borgo
M. Ghandchi Tehrani
S. J. Elliott
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-319-74476-6_22

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