Dynamic feedback control of T-S fuzzy time-delay systems with state/input delays

Abstract

This paper presents the dynamic feedback controller design for uncertain T-S fuzzy systems with state and input delays. First, considering an uncertain T-S fuzzy system with state delay and either partial delayed input or full delayed input, the fuzzy dynamic control method is introduced for asymptotic stabilization. Based on the dynamic control scheme, the input delay is decoupled with the system states and non-delayed input, so that the closed-loop system dynamics becomes simpler. Then, the robust stability conditions are derived and converted to solving linear matrix inequality problems (LMIPs) by a novel Lyapunov function. In turn, the controller is systematically designed even in the presence of modeling uncertainty, state delay, and partial input delay. In comparison with current literatures, the controlled states are guaranteed to be asymptotically stable for larger and faster time delays. Numerical simulation will demonstrate the expected performance.