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Lyapunov-Function-Based Event-Triggered Control of Nonlinear Discrete-Time Cyber–Physical Systems

Shen Yan, Zhou Gu, Ju H. Park

2022IEEE Transactions on Circuits & Systems II Express Briefs20 citationsDOI

Abstract

In this brief, a new Lyapunov-function-based event-triggered mechanism is proposed to investigate the state feedback control of nonlinear discrete-time cyber-physical systems. By summing the difference of Lyapunov-function between two adjacent events and utilizing it to construct the triggering law, the asymptotic stability of system can be ensured without demanding the difference of the Lyapunov function to be negative at any time. Thus, a larger inter-execution time under this scheme can be obtained than the conventional event-triggered mechanism. Meanwhile, the application of this scheme to linear systems is also presented. Finally, some simulations are implemented to show the advantages of the developed strategy.

Topics & Concepts

Lyapunov functionCyber-physical systemControl theory (sociology)Lyapunov redesignNonlinear systemControl-Lyapunov functionComputer scienceFunction (biology)Stability (learning theory)Event (particle physics)MathematicsControl (management)PhysicsArtificial intelligenceQuantum mechanicsOperating systemBiologyMachine learningEvolutionary biologyStability and Control of Uncertain SystemsSmart Grid Security and ResilienceNetwork Time Synchronization Technologies
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