An Asymmetric Lyapunov–Krasovskii Functional Method on Stability and Stabilization for T-S Fuzzy Systems With Time Delay
Zhaoliang Sheng, Chong Lin, Bing Chen, Qing‐Guo Wang
Abstract
This article presents a new asymmetric Lyapunov–Krasovskii functional method on the stability and stabilization of Takagi–Sugeno fuzzy systems with time delay. For the reduction of conservativeness, combining the method with the membership-function-dependent approach, we propose a novel delay-dependent stability condition in the form of linear matrix inequalities. Based on the condition, we further obtain a novel condition of stabilization. At the end, we provide two numerical examples to verify the advantage of the stability and stabilization approaches, respectively.
Topics & Concepts
Control theory (sociology)Stability (learning theory)Fuzzy control systemMathematicsStability conditionsFuzzy logicFunctional approachReduction (mathematics)Computer scienceControl (management)Artificial intelligenceHuman–computer interactionGeometryDiscrete time and continuous timeMachine learningStatisticsNeural Networks Stability and SynchronizationStability and Control of Uncertain SystemsElasticity and Wave Propagation