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Protocol-Based Output-Feedback Control for Semi-Markov Jump Systems

Jun Cheng, Lifei Xie, Ju H. Park, Huaicheng Yan

2022IEEE Transactions on Automatic Control132 citationsDOIOpen Access PDF

Abstract

This study addresses the output-feedback control problem for general semi-Markov jump systems with a memory-dynamic event-triggered protocol. Based on the average dwell-time strategy, a novel framework of semi-Markov process subject to a higher level deterministic switching signal is constructed, where the Markov renewal process is nonhomogeneous. Aiming at improving communication efficiency and control performance, a novel dynamic-memory event-triggered protocol is proposed, and the resulting system can be transformed into a time-delay system. By considering an asynchronous memory-based output-feedback control law, whose asynchronization can be modeled by a nonhomogeneous hidden semi-Markov model, some parameter-dependent sufficient criteria are forwarded to ensure the mean-square exponential stability of the closed-loop system. Finally, the effectiveness and applicability of the presented approach are testified by two examples.

Topics & Concepts

Control theory (sociology)Markov processComputer scienceMarkov chainAsynchronous communicationMarkov modelMarkov renewal processJumpVariable-order Markov modelMathematicsControl (management)Artificial intelligenceQuantum mechanicsComputer networkPhysicsStatisticsMachine learningStability and Control of Uncertain SystemsNeural Networks Stability and SynchronizationPetri Nets in System Modeling
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