Stability Analysis of Discrete-Time Takagi-Sugeno Fuzzy Systems

The paper presents a method analyzing asymptotic stability of discrete-time Takagi-Sugeno fuzzy systems. It is supposed that the plant is described by the Takagi-Sugeno fuzzy system with linear state-space submodels in the consequents of rules and the controller by the Takagi-Sugeno fuzzy system with linear state feedback submodels. These fuzzy systems can be considered as linear time-varying systems, where coefficients are varying in given intervals. The method tests stability by checking only products of vertex (extreme) matrices.