Delay-Dependent Generalized H2 Resilient Control for Discrete-Time Fuzzy Systems with both State and Input Delays

The Generalized H₂ stability analysis and piecewise resilient controller design problems are studied for discrete-time Takigi-sugeno(T-S) Fuzzy systems with both state and input delays. Based on standard Lyapunov stability theory, Delay-dependent Generalized H₂ sufficient stability conditions are derived via constructing an appropriate discrete time-delay piecewise quadratic Lyapunov function. On the basis of linear matrix inequalities (LMIs), the design scheme for piecewise resilient controller is provided by the introduction of new slack variables. The control laws can be obtained by solving a set of LMIs. Since only a set of LMIs is involved, the controller design is quite simple and numerically tractable. Numerical example is given to illustrate the proposed results.