Event-Based Reachable Set Synthesis for Continuous Delayed Fuzzy Singularly Perturbed Systems
Liang Zhang, Jiawang Wang, Xudong Zhao, Ning Zhao, Sanaa Sharaf
Abstract
In this brief, the problem of event-triggered reachable set (RS) control for Takagi-Sugeno fuzzy singular perturbed systems (FSPSs) with continuous time-varying delays is studied. Originally, Lyapunov stability theory and linear matrix inequalities are applied to limit the systems state by the RS ellipsoid. For the designed event-triggered state feedback controller, the free-weighting matrix method and the matrix decoupling technology are used to obtain the controller gains, and then the upper bound of the stability of the FSPSs is obtained. Finally, A circuit example is provided to demonstrate the efficacy of the findings.
Topics & Concepts
Control theory (sociology)Decoupling (probability)MathematicsLinear matrix inequalityFuzzy logicController (irrigation)Full state feedbackWeightingFuzzy control systemUpper and lower boundsComputer scienceControl (management)Mathematical optimizationEngineeringControl engineeringMathematical analysisRadiologyArtificial intelligenceMedicineAgronomyBiologyStability and Control of Uncertain SystemsNeural Networks Stability and SynchronizationMatrix Theory and Algorithms