H(subscript ∞) Fuzzy Control Design for Nonlinear Stochastic Fuzzy Systems

10.30000/IJFS.200703.0006

Chung-Shi Tseng；Yen-Fang Li；Yi-Fan Chiang

Output feedback ； H(subscript ∞) fuzzy control ； T-S fuzzy model ； nonlinear stochastic systems ； Itô-type stochastic differential equations ； second-order nonlinear Hamilton-Jacobi inequality ； and LMIs

International Journal of Fuzzy Systems

9卷1期（2007 / 03 / 01）

38 - 44

英文

This paper describes the robust output feedback H(subscript ∞) fuzzy control design for a class of nonlinear stochastic systems. The system dynamic is modeled by Itô-type stochastic differential equations. For general nonlinear stochastic systems, the H(subscript ∞) ontrol can be obtained by solving a second-order nonlinear Hamilton-Jacobi inequality. In general, it is difficult to solve the second-order nonlinear Hamilton-Jacobi inequality. In this paper, using fuzzy approach (T-S fuzzy model), the H(subscript ∞) fuzzy control design for the nonlinear stochastic systems can be given via solving linear matrix inequalities (LMIs) instead of a second-order Hamilton-Jacobi inequality. Simulation example is provided to illustrate the design procedure and expected performance.