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Input-Output Finite-Time Guaranteed Cost Control for Time-Varying Systems Based on an Aperiodic Adaptive Event-Triggered Mechanism

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Abstract

This paper is concerned with the problem of input-output finite-time guaranteed cost control for a kind of time-varying systems (TVSs). To reduce the transmission burden, an aperiodic-sampling-based event-triggered mechanism is proposed with an adaptive law. And a time-varying Lyapunov functional involving some time-dependent piecewise matrices is designed. Input-output finite-time stability (IO-FTS) conditions are presented for the closed-loop system. By resorting to properties of the matrix polynomial, input-output finite-time stabilization criterions are further derived by recursive linear matrix inequalities. And the sampled-data static output feedback controller can be obtained. In addition, the corresponding optimization problem about minimum values of both the guaranteed cost bound and system output norm are established. Finally, a spring-mass-damper system illustrates the effectiveness and superiority

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Authors and Affiliations

  1. School of Automation and Electrical Engineering, Dalian Jiaotong University, Dalian, 116028, China

    Menghua Chen, Yunming Wang & Xinping Wang

Authors
  1. Menghua Chen
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  2. Yunming Wang
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  3. Xinping Wang
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Corresponding author

Correspondence to Menghua Chen.

Additional information

This work was supported in part by the National Natural Science Foundation of China under Grant No. 62103074; the Natural Science Research Project of Liaoning Education Department of China under Grant Nos. JDL2019019 and JDL2020002.

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Chen, M., Wang, Y. & Wang, X. Input-Output Finite-Time Guaranteed Cost Control for Time-Varying Systems Based on an Aperiodic Adaptive Event-Triggered Mechanism. J Syst Sci Complex 36, 1070–1088 (2023). https://doi.org/10.1007/s11424-023-1475-7

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  • DOI: https://doi.org/10.1007/s11424-023-1475-7

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