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Event-Triggered Neural Control for Time-Varying Delay Switched Systems With Constraints Relate to Historical States Under Average Dwell Time

Zheng Li, Shu Li, Yan‐Jun Liu, Lei Liu

2023IEEE Transactions on Systems Man and Cybernetics Systems11 citationsDOI

Abstract

In this article, the problem of full state constraints for a class of uncertain nonlinear switched systems with time-varying delays under average dwell time is studied, and an adaptive event-triggered mechanism is proposed. The Lyapunov–Krasovskii function (LKF) is employed to solve the trouble caused by time-varying delays, neural networks are selected to approximate the uncertain terms in the system, and the state constraint problem is solved by constructing tan barrier Lyapunov function (Tan-BLF). What’s more, the constraint boundaries considered in this article can be expressed as functions that rely on time and historical information of the system. In addition, the mismatch behavior between subsystem and its controller is also considered. Finally, numerical simulation results verify the availability of the control strategy.

Topics & Concepts

Dwell timeControl theory (sociology)Constraint (computer-aided design)Controller (irrigation)State (computer science)Nonlinear systemComputer scienceArtificial neural networkFunction (biology)Lyapunov functionControl (management)Event (particle physics)Mathematical optimizationMathematicsAlgorithmArtificial intelligenceAgronomyQuantum mechanicsEvolutionary biologyBiologyClinical psychologyGeometryMedicinePhysicsAdaptive Control of Nonlinear SystemsNeural Networks Stability and SynchronizationStability and Control of Uncertain Systems