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This paper presents optimal fuzzy control of a nano-positioning system by linear matrix inequality (LMI) and hierarchical genetic algorithms (HGAs). First, the Bouc-Wen model describes the nonlinear hysteresis curve of a piezoelectric actuator. Then, the Takagi-Sugeno (T-S) fuzzy model approximates the Bouc-Wen equation. The parallel distributed compensation (PDC) is designed to control the nonlinear...
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