Dissipation in suspension system augmented by piezoelectric stack: port-Hamiltonian approach
Authors
Rafael Tavares, Michael Ruderman
Abstract
Analysis of damping in semi-active and active suspension systems is prerequisite for an advanced control and, eventually, energy harvesting functions. This paper addresses the damping in suspension system augmented by the piezoelectric (PE) stack. The Hamiltonian system approach with port-power modeling of single subsystems is used for describing and studying the dissipative properties of piezoelectric stack element, integrated in series with a standard quarter-car suspension. The slightly improved, compared to the underlying passive suspension system, frequency response of the sprung mass acceleration is demonstrated. Moreover, the overall power flow in the system, caused by the disturbing road profile, and the dissipated power due to PE-augmented suspension are analyzed and discussed in detail. The results of dissipation analysis provide helpful tools for further developments towards PE-based energy harvesting.
Citation
- Journal: 2020 28th Mediterranean Conference on Control and Automation (MED)
- Year: 2020
- Volume:
- Issue:
- Pages: 168–173
- Publisher: IEEE
- DOI: 10.1109/med48518.2020.9183317
BibTeX
@inproceedings{Tavares_2020,
title={{Dissipation in suspension system augmented by piezoelectric stack: port-Hamiltonian approach}},
DOI={10.1109/med48518.2020.9183317},
booktitle={{2020 28th Mediterranean Conference on Control and Automation (MED)}},
publisher={IEEE},
author={Tavares, Rafael and Ruderman, Michael},
year={2020},
pages={168--173}
}
References
- Ortega, R., van der Schaft, A., Maschke, B. & Escobar, G. Energy-shaping of port-controlled Hamiltonian systems by interconnection. Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) vol. 2 1646–1651 – 10.1109/cdc.1999.830260
- Gómez-Estern, F. & Van der Schaft, A. J. Physical Damping in IDA-PBC Controlled Underactuated Mechanical Systems. European Journal of Control vol. 10 451–468 (2004) – 10.3166/ejc.10.451-468
- Meurer, T. & Kugi, A. Tracking control design for a wave equation with dynamic boundary conditions modeling a piezoelectric stack actuator. International Journal of Robust and Nonlinear Control vol. 21 542–562 (2011) – 10.1002/rnc.1611
- Tavares, R. & Ruderman, M. Energy harvesting using piezoelectric transducers for suspension systems. Mechatronics vol. 65 102294 (2020) – 10.1016/j.mechatronics.2019.102294
- Morselli, R. & Zanasi, R. Control of port Hamiltonian systems by dissipative devices and its application to improve the semi-active suspension behaviour. Mechatronics vol. 18 364–369 (2008) – 10.1016/j.mechatronics.2008.05.008
- Goldfarb, M. & Celanovic, N. A Lumped Parameter Electromechanical Model for Describing the Nonlinear Behavior of Piezoelectric Actuators. Journal of Dynamic Systems, Measurement, and Control vol. 119 478–485 (1997) – 10.1115/1.2801282
- Willems, J. C. Dissipative dynamical systems part I: General theory. Archive for Rational Mechanics and Analysis vol. 45 321–351 (1972) – 10.1007/bf00276493
- Modeling piezoelectric stack actuators for control of micromanipulation. IEEE Control Systems vol. 17 69–79 (1997) – 10.1109/37.588158
- Ruderman, M. & Rachinskii, D. Use of Prandtl-Ishlinskii hysteresis operators for Coulomb friction modeling with presliding. Journal of Physics: Conference Series vol. 811 012013 (2017) – 10.1088/1742-6596/811/1/012013
- isermann, Identification of Dynamic Systems An Introduction with Applications (2010)
- Tavares, R., Molina, J. V., Sakka, M. A., Dhaens, M. & Ruderman, M. Modeling of an active torsion bar automotive suspension for ride comfort and energy analysis in standard road profiles. IFAC-PapersOnLine vol. 52 181–186 (2019) – 10.1016/j.ifacol.2019.11.671
- savaresi, Semi-Active Suspension Control Design for Vehicles (2010)
- Hagood, N. W., Chung, W. H. & Von Flotow, A. Modelling of Piezoelectric Actuator Dynamics for Active Structural Control. Journal of Intelligent Material Systems and Structures vol. 1 327–354 (1990) – 10.1177/1045389x9000100305
- Zuo, L. & Zhang, P.-S. Energy Harvesting, Ride Comfort, and Road Handling of Regenerative Vehicle Suspensions. Journal of Vibration and Acoustics vol. 135 (2013) – 10.1115/1.4007562
- ortega, Passivity-based control of Euler-Lagrange Systems Mechanical Electrical and Electromechanical Applications (2013)
- Tseng, H. E. & Hrovat, D. State of the art survey: active and semi-active suspension control. Vehicle System Dynamics vol. 53 1034–1062 (2015) – 10.1080/00423114.2015.1037313
- KARNOPP, D. Active Damping in Road Vehicle Suspension Systems. Vehicle System Dynamics vol. 12 291–311 (1983) – 10.1080/00423118308968758
- Rajamani, R. Vehicle Dynamics and Control. Mechanical Engineering Series (Springer US, 2012). doi:10.1007/978-1-4614-1433-9 – 10.1007/978-1-4614-1433-9
- Ortega, R. & Spong, M. W. Adaptive motion control of rigid robots: A tutorial. Automatica vol. 25 877–888 (1989) – 10.1016/0005-1098(89)90054-x