Robust static output feedback H∞H∞ control for uncertain fuzzy systems

This paper will focus on robust static output feedback (SOF) H∞H∞ control for discrete-time Takagi–Sugeno (T–S) fuzzy systems with time-varying norm bounded uncertainties. First, a new H∞H∞ performance analysis criterion is proposed for the fuzzy systems. Then, sufficient conditions for designing fuzzy SOF H∞H∞ controllers are given in terms of solutions to a set of linear matrix inequalities (LMIs). In contrast to the existing methods for designing the SOF H∞H∞ controllers, the output matrices of the considered fuzzy system are allowed to be non-common and to have uncertainties. Moreover, theoretical proof is given to show that the proposed design conditions include some existing results as special cases. Simulation examples are provided to show the effectiveness of the proposed design method.