Reliable [formula omitted] control design of discrete-time Takagi–Sugeno fuzzy systems with actuator faults

Abstract

The proposed study is focused on the problem of reliable H∞ control of discrete-time Takagi–Sugeno fuzzy systems with actuator faults. A novel kind of reliable H∞ fuzzy controller is designed to obtain relaxed conditions while both the asymptotic stability and the prescribed H∞ performance index of the underlying system are ensured. By employing one distinct fuzzy Lyapunov function and extending the homogenous matrix polynomial approach, asymptotically necessary and sufficient reliable H∞ control conditions are obtained by means of linear matrix inequalities while the normal level is minimized and the acceptable levels in the faulty cases are maintained. Most of all, the existing results can be proved to be special cases of the developed one. Moreover, a numerical example is given to show the profit of the proposed result.