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Adaptive asynchronous output feedback control for a class of switched nonlinear systems with a novel aperiodic dynamic sampling rule

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Abstract

This paper investigates the adaptive output feedback aperiodic sampling control for a class of switched nonlinear systems under asynchronous switching. A novel model-dependent dynamic aperiodic sampling rule is proposed to solve problems of potential asynchronous lengthening and transmission overburdening. Blending with the sampling information, the time-schedule Lyapunov functions (TSLFs) are recreated to analyze the stability in different control situations. Meanwhile, the switched time-schedule observers and adaptive laws are designed to deal with the estimation problem of unknown system states and nonlinear function. The obtained switched sampling controllers and switching rule guarantee the closed-loop system to be uniformly ultimately bounded. Compared with the existing results, the asynchronous time in this paper does not change with the increasing sampling period. Depending on the sampled data, the time-varying observers and adaptive laws make the application of the given dynamic output feedback control design more extensive and flexible. Finally, the effectiveness of the proposed method is demonstrated by a ship steering system and a mass–spring–damper system.

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Funding

This work is supported by Qinhuangdao Science and Technology Research and Development Project (Grant Number 202101A264)

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Authors and Affiliations

  1. School of Science, Yanshan University, Qinhuangdao, 066004, Hebei, China

    Xiya Song, Chunyan Wang & Yifan Fu

Authors
  1. Xiya Song
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  2. Chunyan Wang
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  3. Yifan Fu
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Correspondence to Chunyan Wang.

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Communicated by Nadhir Messai.

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Song, X., Wang, C. & Fu, Y. Adaptive asynchronous output feedback control for a class of switched nonlinear systems with a novel aperiodic dynamic sampling rule. Comp. Appl. Math. 43, 153 (2024). https://doi.org/10.1007/s40314-024-02667-w

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