Delay-dependent stability and control for a class of fuzzy descriptor systems with time-delay

This paper addresses issues of stability analysis and H ∞ control for a class of fuzzy time-delay descriptor systems described by an extended Takagi–Sugeno (T–S) fuzzy model. A delay-dependent stability criterion is first presented, and a H ∞ control synthesis approach is then developed. Both the stability criterion and the H ∞ controller synthesis are based on the solutions of linear matrix inequalities (LMIs). Finally, two examples are given to illustrate the effectiveness of the approaches proposed in this paper.