Dynamic output feedback H∞ control synthesis for discrete-time T–S fuzzy systems via switching fuzzy controllers

This paper studies the problem of dynamic output feedback H∞ control of discrete-time Takagi–Sugeno (T–S) fuzzy systems via a switched dynamic parallel distributed compensation (DPDC) scheme. The considered switched DPDC control structure is determined based on the values of membership functions. Some new properties of membership functions are obtained, and exploited to derive sufficient conditions for designing switching DPDC controllers that guarantee the stability and H∞ performances of closed-loop nonlinear systems. The design conditions are given in terms of solvability of a set of linear matrix inequalities (LMIs). It is shown that the new approach provides results at least as good as the corresponding DPDC methods. A numerical example is given to illustrate the effectiveness of the proposed approach.