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19 June 2000 Robust control of piezoelectric-actuated systems with unknown hysteresis
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A robust tracking control architecture is proposed for a class of continuous-time nonlinear dynamic systems actuated by piezoelectric actuators. Generally, hysteresis nonlinearity exists in the piezoelectric actuator, which may cause undesirable inaccuracy. Based on solutions of a general hysteresis model, an approximation function is introduced to compensate for effects of the hysteresis nonlinearities. This approximation function is implemented by fuzzy logic method, which is expressed as a series expansion of basis functions. Combining this approximation function with adaptive control techniques, a robust control algorithm is developed. As a result, global asymptotic stability of the system is established in the Lyapunov sense.
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Chun-Yi Su "Robust control of piezoelectric-actuated systems with unknown hysteresis", Proc. SPIE 3984, Smart Structures and Materials 2000: Mathematics and Control in Smart Structures, (19 June 2000);

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