Fuzzy static output feedback H infinity control for nonlinear systems with time-varying delay: An LMI approach

The problem of fuzzy static output feedback H_∞ control is investigated for a class of nonlinear systems with time-varying delay. Specifically, the considered system is approximated by a Takagi-Sugeno (T-S) fuzzy model. By using linear matrix inequality (LMI) methods, we design a fuzzy static output feedback H_∞ controller, which guarantees asymptotic stability and a prescribed H_∞ index for the resulting closed-loop system. In contrast to the existing results, the gains of controller are obtained by solving a set of LMIs. The proposed method is easy to implement and can be applied to linear systems. A numerical example is provided to illustrate the effectiveness of the developed method.