Static Output Feedback Control for Discrete-Time T-S Fuzzy Systems: k-Sample Variation Approach

This study deals with the problem of static output feedback control for discrete-time T-S fuzzy systems via a nonquadratic Lyapunov function and its k-sample variation, i.e., (Formula presented). A sufficient condition for the existence of the static output feedback controller is presented in terms of linear matrix inequalities (LMIs). The proposed sufficient stabilizing condition does not require any transformation matrices and equality constraints. Finally, two numerical examples are illustrated to verify the relaxation achieved with the proposed method. © ICROS 2022.