Improved Stabilization Conditions for T-S Fuzzy Systems with Periodic Variable Delay

This paper studies the stability and stabilization of a class of T-S fuzzy systems(TFS) with periodic variable delay. First, the periodic delay is divided into two monotone intervals for functional analysis according to the monotonicity of periodic variable delay. Whereafter, a novel monotone delay-interval-based functional(MDIF) including looped functional and augmented functional is constructed, which introduces more system states information and delay information. Further, the improved stabilization conditions are obtained based on a new MDIF and the memory state feedback controller design method. Finally, the validity of the controller design method is elaborated by a truck-trailer system.