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Tracking control for output-constrained nonlinear switched systems with a barrier Lyapunov function

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  • Ben Niu
  • Jun Zhao

Abstract

This article focuses on the tracking control problem for switched nonlinear systems in strict-feedback form subject to an output constraint. In order to prevent transgression of the constraint, a barrier Lyapunov function is employed, which grows to infinity when its arguments approach domain boundaries. Under the simultaneous domination assumption, a continuous controller for the switched system is constructed. Furthermore, asymptotic tracking is achieved without violation of the constraint, and all closed-loop signals keep bounded, when a mild requirement on the initial condition is satisfied. Finally, a simulation example is provided to illustrate the effectiveness of the proposed results.

Suggested Citation

  • Ben Niu & Jun Zhao, 2013. "Tracking control for output-constrained nonlinear switched systems with a barrier Lyapunov function," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(5), pages 978-985.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:978-985
    DOI: 10.1080/00207721.2011.652222
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    Cited by:

    1. Runze Chen & Zhenling Wang & Weiwei Che, 2022. "Adaptive Sliding Mode Attitude-Tracking Control of Spacecraft with Prescribed Time Performance," Mathematics, MDPI, vol. 10(3), pages 1-18, January.
    2. Penghui Sun & Xi Wang & Shubo Yang & Bei Yang & Huairong Chen & Bin Wang, 2021. "Bumpless Transfer of Uncertain Switched System and Its Application to Turbofan Engines," Energies, MDPI, vol. 14(16), pages 1-21, August.
    3. Qiang Yu & Baowei Wu, 2015. "Robust stability analysis of uncertain switched linear systems with unstable subsystems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1278-1287, May.
    4. Chunbin Qin & Huaguang Zhang & Yanhong Luo & Binrui Wang, 2014. "Finite horizon optimal control of non-linear discrete-time switched systems using adaptive dynamic programming with ε-error bound," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(8), pages 1683-1693, August.
    5. Zhongcai Zhang & Xueli Hu & Yang Gao & Xiaodan Hou, 2023. "Robust and Adaptive Stabilization Controllers of State-Constrained Nonholonomic Chained Systems: A Discontinuous Approach," Mathematics, MDPI, vol. 12(1), pages 1-19, December.
    6. Yongming Li & Shaocheng Tong, 2016. "Adaptive fuzzy switched control design for uncertain nonholonomic systems with input nonsmooth constraint," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(14), pages 3436-3446, October.
    7. Yunong Zhang & Yinyan Zhang & Dechao Chen & Zhengli Xiao & Xiaogang Yan, 2017. "Division by zero, pseudo-division by zero, Zhang dynamics method and Zhang-gradient method about control singularity conquering," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(1), pages 1-12, January.
    8. Yingxue Hou & Shaocheng Tong & Yongming Li, 2016. "Adaptive fuzzy backstepping control for a class of switched nonlinear systems with actuator faults," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(15), pages 3581-3590, November.

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