Stability analysis of T–S fuzzy systems with time-varying delay via parameter-dependent reciprocally convex inequality
Huichao Lin, Jiuxiang Dong
Abstract
The stability problem of T–S fuzzy systems with time-varying delay is investigated in this article. The purpose is to establish the less conservative stability conditions for T–S fuzzy systems with time-varying delays. Firstly, a parameter-dependent reciprocally convex inequality is proposed to improve the estimation accuracy of reciprocal convex terms. Secondly, based on the line-integral Lyapunov–Krasovskii (L–K) function and the developed parameter-dependent reciprocally convex inequality, a less conservative stability condition is established. Finally, two examples are used to verify the feasibility and superiority of the proposed method.
Topics & Concepts
Fuzzy logicInequalityStability (learning theory)Regular polygonAutomationLinear matrix inequalityMathematicsFuzzy control systemFunction (biology)Control theory (sociology)Computer scienceControl (management)Mathematical economicsMathematical optimizationEngineeringArtificial intelligenceMathematical analysisMachine learningBiologyEvolutionary biologyMechanical engineeringGeometryNeural Networks Stability and SynchronizationStability and Control of Uncertain SystemsStability and Controllability of Differential Equations