LMI-based approach for output-feedback stabilization for discrete time Takagi-Sugeno systems

This paper presents a static output-feedback stabilizing controller design for nonlinear systems represented by discrete-time Takagi-Sugeno fuzzy models. The main result concerns the stabilization based on the parallel distributed compensation (PDC) approach. Sufficient conditions are provided for quadratic and nonquadratic stabilization. A numerical procedure based on the cone complementarity algorithm is given for the design of static output-feedback stabilizing controller. It is shown that the relaxed conditions proposed in the nonquadratic case outperform those for the quadratic case. A numerical example is given to illustrate the applicability of the proposed approach