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Backstepping design for global robust stabilisation of switched nonlinear systems in lower triangular form

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  • Ruicheng Ma
  • Jun Zhao
  • Georgi Dimirovski

Abstract

This article deals with the global robust stabilisation for a class of switched nonlinear systems under arbitrary switchings. The system under consideration is in lower triangular form and contains uncertainty. Both common Lyapunov function and state feedback controller are simultaneously constructed by backstepping such that the closed-loop system is globally robustly asymptotically stable under arbitrary switchings. Lastly, the design method proposed is extended to the uncertain switched nonlinear systems in nested lower triangular form to solve the global robust stabilisation problem under arbitrary switchings. Two examples are given to show the effectiveness of the proposed methods.

Suggested Citation

  • Ruicheng Ma & Jun Zhao & Georgi Dimirovski, 2013. "Backstepping design for global robust stabilisation of switched nonlinear systems in lower triangular form," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(4), pages 615-624.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:615-624
    DOI: 10.1080/00207721.2011.617893
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    Cited by:

    1. Yan-Si Lin & Chih-Chiang Cheng, 2016. "Design of block backstepping controllers for a class of perturbed multiple inputs and state-delayed systems in semi-strict-feedback form," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1296-1311, April.
    2. Hao Yang & Wenjing Ren & Bin Jiang, 2017. "On stability of switched nonlinear systems with time-scaling transformation," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(10), pages 2120-2127, July.
    3. 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.

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