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This paper presents the nano-positioning control of a piezoelectric platform. A Bouc-Wen model is established to describe the nonlinear hysteretic effect of piezoelectric systems. Three kinds of compensators, traditional PI controller, PI-like fuzzy logic controller (FLC) and adaptive PI-FLC controller, are designed for the piezoelectric systems. The adaptive PI controller is tuned on-line by means of Takagi-Sugeno fuzzy logic. Computer simulation demonstrates that the adaptive PI-FLC controller possesses the best robustness against external disturbance.

Adaptive PI Control of Piezoelectric Systems Using Takagi-Sugeno Fuzzy Logic