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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...
The problems of stochastic stability and sliding mode L2-Linfin control for a class of nonlinear matched and mismatched uncertain systems with stochastic jumps are considered in this paper. The uncertain system under consideration may have mismatched norm bounded uncertainties in the state matrix. The transition of the jumping parameters in the systems is governed by a finite-state markov process...
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