Robust dynamic output-feedback Script capital H∞ control for uncertain Takagi-Sugeno time-delay systems

This work deals with the problem of robust output-feedback Script capital H-infinity control for a class of uncertain Takagi-Sugeno (T-S) fuzzy systems with state time-varying delays. The system is described by a state-space T-S fuzzy model with time-varying delays and norm-bounded parameter uncertainties. A robust Script capital H-infinity control strategy via Lyapunov-Krasovskii functionals for stability and performance conditions is derived. The T-S fuzzy-model-based framework is employed in analysis, and formulations are performed based on the solution of a set of delay-dependent linear matrix inequalities (LMIs). By solving the derived LMI conditions via a convex programming toolbox, a full-order robust dynamic output-feedback Script capital H-infinity controller is designed. The obtained robust output-feedback controller guarantees asymptotic stability of the closed-loop system and provides an Script capital H-infinity norm, that is, disturbance attenuation level, for all admissible uncertainties. In this sequel, three examples are given to reveal the effectiveness and merits of the proposed approaches.