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Preview Tracking Control of Linear Periodic Switched Systems with Dwell Time

Author

Listed:
  • Fucheng Liao
  • Lijie Cui
  • Yanrong Lu
  • Jiamei Deng

Abstract

This paper studies the preview tracking control problem for linear discrete-time periodic switched systems. Firstly, an augmented error system is constructed for each subsystem by stabilizing the augmented error systems through the method of optimal preview control, and the tracking problem of the switched system is transformed into the switched stability problem of closed-loop augmented error systems. Secondly, a switched Lyapunov function method is applied to search the minimal dwell time satisfying the switched stability of the closed-loop augmented error systems. Thirdly, the switched preview control input is solved from the controller of the individual augmented error system, and then the sufficient conditions and the preview controller can be obtained to guarantee the solvability of the original periodic switched preview tracking problem. Finally, numerical simulations show the effectiveness of the stabilization design method.

Suggested Citation

  • Fucheng Liao & Lijie Cui & Yanrong Lu & Jiamei Deng, 2020. "Preview Tracking Control of Linear Periodic Switched Systems with Dwell Time," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-9, October.
    • Handle: RePEc:hin:jnlmpe:8395683
    DOI: 10.1155/2020/8395683
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    Cited by:

    1. Chun Zhang & Qiaoxia Tang & Zhixiang Wang, 2022. "Grazing and Symmetry-Breaking Bifurcations Induced Oscillations in a Switched System Composed of Duffing and van der Pol Oscillators," Mathematics, MDPI, vol. 10(5), pages 1-10, February.

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