Unknown Premise Variables Observer-Based Controller Design for T-S Fuzzy Systems in the Presence of Input Saturation

In this paper, we propose a new method for observer-based controller design of nonlinear systems which are represented by Takagi-Sugeno (T-S) fuzzy systems. Two practical restrictions have been considered to cover a more general problem. First, we suppose that the premise variables of the T-S model are unmeasurable, which permits one to utilize the proposed method in more practical systems. Second, actuator saturation is considered as a physical limitation and the controller is designed subject to this restriction. Sufficient conditions for the existence of such a controller are derived in terms of ­linear matrix inequalities (LMIs). The effectiveness of developed technique is shown through numerical example