New results on stability and stabilization analyses for T-S fuzzy systems with distributed time-delay under imperfect premise matching

Abstract

This paper investigates stability and stabilization analyses issue for T-S fuzzy-model-based systems involving distributed time-delay. The novel imperfect premise matching methodology is employed to derive fuzzy controller, unlike conventional PDC method, this novel technique allows the designed fuzzy controller and the T-S fuzzy model to have distinct membership functions and number of rules, as a result, great flexibility and better robustness can be achieved. Moreover, with the introduction of one novel inequality which is tighter than other existing ones, relaxed LMI-based stability and stabilization criteria are obtained in term of the Lyapunov stability theory. Lastly, two numerical examples are offered to prove the valadity of the derived results.