Ultimate Boundedness Control for Uncertain Nonlinear Impulsive Switched Systems: A Fuzzy Approach Based on a Complete Takagi–Sugeno Structure

摘要: This paper deals with the ultimate boundedness control of nonlinear impulsive switched systems, which ensures that state trajectories ultimately converge to a sufficient small region containing origin. Given general model, we first propose novel stability criteria do not need be satisfied on entire space and include condition guarantee remaining within bound, even though impulse size is zero at origin or vanishing near Applying these closed-loop system leads set matrix inequalities may infeasible when subsystems are highly nonlinear. Therefore, redevelop them for an represented by Takagi–Sugeno (T–S) fuzzy structure consequent parts. Since this has fewer rules than traditional T–S models linear parts, number established stabilization sharply reduced. We then derive optimization problem bilinear constraints achieve controller guarantees convergence smallest bound as well practical issues. Finally, numerical example practical-motivated given demonstrate applicability proposed approach.