Observer-Based H8 Control for Discrete-Time Fuzzy Systems Using Fuzzy Lyapunov Functions

The problem of observer-based Hinfin fuzzy control designs for discrete-time T-S fuzzy systems is considered in this paper. A sufficient LMI condition is proposed to guarantee the existence of the Hinfin controllers based on fuzzy observers for the discrete-time T-S fuzzy systems. It is shown that the controller and observer parameters can be obtained by solving a set of linear matrix inequalities that are numerically feasible with commercially available software. Finally, the validity and applicability of the approach are demonstrated by examples.

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