H{sub}∞ State-Feedback Controller Design for Discrete-Time Fuzzy Systems with Input Saturation Using Fuzzy Weighting-Dependent Lyapunov Functions

摘要

This paper proposes a state-feedback fuzzy control law for discrete-time Takagi-Sugeno (TS) fuzzy systems with input saturation, where the used criterion is the minimization of the H{sub}∞ norm associated with a fuzzy weighting-dependent Lyapunov function. To address the input saturation problem, this paper first formulates a set invariance condition for the TS fuzzy systems in terms of linear matrix inequalities (LMIs) with one prescribed scalar. And then there is subsequently established an H{sub}∞ control law.