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Adaptive Fuzzy Optimal Control for Interconnected Switched Nonlinear Systems With Dwell Time

Licheng Zheng, Junhe Liu, C. L. Philip Chen, Yun Zhang, Ci Chen, Zongze Wu, Zhi Liu

2023IEEE Transactions on Fuzzy Systems10 citationsDOI

Abstract

This article focuses on the problem of adaptive optimal tracking control of interconnected switched systems on dwell time. The objective is to establish interconnection between switched systems, stabilize each switched system, and achieve optimal performance over the dwell time. An actor-critic learning technique is utilized to design the optimal controller by evaluating the performance via the critic and improving the policy via the actor. During the design of the cost function and optimization process, we employed non-zero-sum game theory to incorporate the interconnection factors among systems. The proposed control scheme designs a novel relaxed stability condition for switched subsystems and validates the effectiveness by using a Lyapunov function with a value function. Finally, the designed control scheme can be verified by simulation.

Topics & Concepts

Dwell timeControl theory (sociology)InterconnectionComputer scienceController (irrigation)Lyapunov functionFuzzy logicOptimal controlNonlinear systemFuzzy control systemStability (learning theory)Mathematical optimizationControl (management)MathematicsArtificial intelligenceComputer networkClinical psychologyMachine learningPhysicsBiologyMedicineAgronomyQuantum mechanicsAdaptive Dynamic Programming ControlFrequency Control in Power SystemsAdaptive Control of Nonlinear Systems
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