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| Sliding Mode Iterative Learning Control of the Piezoceramic Actuators |
| Lai Zhilin, Liu Xiangdong, Chen Zhen, Yang Xiaodong |
| Beijing Institute of Technology Beijing 100081 China |
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Abstract In this paper, a sliding mode iterative learning controller has been designed to suppress the nonlinear of the Piezoceramic Actuators which is hard to modeling. First, a second-order system is used to describe the Piezoceramic Actuators. Then, a sliding mode controller has been presented to suppress the random interference, and an iterative learning controller has been designed to offset the periodic disturbance. Combining the advantages of the two controls, a sliding mode iterative learning controller has been proposed for the Piezoceramic Actuators. The stabilities of the sliding mode control and the sliding mode iterative learning control have been proved. Finally, the experiments proved the effectiveness of the designed controllers.
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Received: 10 September 2012
Published: 12 December 2013
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[1] Vasiljev P, Mazeika D, Kulvietis G. Modelling and analysis of omni-directional piezoelectric actuator [J]. Journal of Sound and Vibration, 2007, 308: 867-878.
[2] Abbott J J, Nagy Z, Beyeler F, et al Robotics in the small, part I: Microrobotics[J]. IEEE Robotics and Automation Magazine, 2007, 14(2): 92-103.
[3] Kuhnen K, Janocha H. Adaptive inverse control of piezoelectric actuators with hysteresis operators[C]. European Control Conference, Karlsruhe, Germany, 1999: 1-6.
[4] Ge P, Jouaneh M. Tracking control of a piezoceramic actuator[J]. IEEE Translations on Control System Technology, 1996, 4(3): 209-216.
[5] Tang J, Wang K W. High authority and nonlinearity issues in active-passive hybrid piezoelectric networks for structural damping[J]. Journal of Intelligent Material Systems and Structures, 2000, 11(3): 581- 591.
[6] Su C Y, Stepanenko Y, Svoboda J, et al. Robust adaptive control of a class of nonlinear systems with unknown backlash-like hysteresis[J]. IEEE Transactions on Automatic Control, 2000, 45(12): 2427-2432.
[7] Bashash S, Jalili N. Underlying memory-dominant nature of hysteresis in piezoelectric materials[J]. Journal of Applied Physics, 2006, 100(1): 014103- 014109.
[8] 李仁俊, 韩正之. 迭代学习控制综述[J]. 控制与决策, 2005, 20(9): 961-965
Li Renjun, Han Zhenzhi. Survey of iterative learning control[J]. Control and Decision, 2005, 20(9): 961- 965.
[9] Leang K K, Devasia S. Design of hysteresis- compensating iterative learning control for piezo- positioners: application to atomic force microscopes [J]. Mechatronics, 2006, 16: 141-158.
[10] Heinzinger G, Fenwick D, Paden B. Robust learning control[C]. Proceedings of the 28th IEEE Conference on Decision and Control, Tamps, Florida, 1989: 436- 440.
[11] 谢胜利, 田森平, 谢胜东. 迭代学习控制的理论与应用[M]. 北京: 科学出版社, 2005. |
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2013, Vol. 28 
