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Input and output constraints-based stabilisation of switched nonlinear systems with unstable subsystems and its application

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  • Chao Chen
  • Qian Liu
  • Jun Zhao

Abstract

This paper studies the problem of stabilisation of switched nonlinear systems with output and input constraints. We propose a recursive approach to solve this issue. None of the subsystems are assumed to be stablisable while the switched system is stabilised by dual design of controllers for subsystems and a switching law. When only dealing with bounded input, we provide nested switching controllers using an extended backstepping procedure. If both input and output constraints are taken into consideration, a Barrier Lyapunov Function is employed during operation to construct multiple Lyapunov functions for switched nonlinear system in the backstepping procedure. As a practical example, the control design of an equilibrium manifold expansion model of aero-engine is given to demonstrate the effectiveness of the proposed design method.

Suggested Citation

  • Chao Chen & Qian Liu & Jun Zhao, 2018. "Input and output constraints-based stabilisation of switched nonlinear systems with unstable subsystems and its application," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(1), pages 84-97, January.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:84-97
    DOI: 10.1080/00207721.2017.1397802
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