Static output-feedback fuzzy controller for Chen's chaotic system with uncertainties

Static output-feedback stabilization of Chen’s chaotic system with uncertainties is studied from a fuzzy control approach. An uncertain Takagi–Sugeno (TS) fuzzy model for the uncertain Chen’s chaotic system is first constructed. Then, the uncertain TS fuzzy model is represented as a set of uncertain linear systems and a controller design algorithm is proposed. Specifically, a switching static output-feedback fuzzy-model-based controller is designed by solving some linear matrix inequalities (LMI), which are derived from the developed local representations. Simulation results have confirmed the effectiveness and feasibility of the proposed modeling and control methods.