Robust H1 control for a class of switched nonlinear systems

Authors

  • Hui Xu Faculty of Sciences, China University of Mining and Technology, Xuzhou 221008,
  • Min Wang Faculty of Sciences, China University of Mining and Technology, Xuzhou 221008,

DOI:

https://doi.org/10.24297/jam.v12i2.537

Keywords:

Switched nonlinear cascade systems, H1 control, Piecewise Lyapunov function, Average dwelltime method

Abstract

This article is concerned with the robust H1 control problem of a class of switched nonlinear systems with norm-bounded time-varying uncertainties. The system considered in this class is composed of two parts: a uncertain linear switched part and a nonlinear part, which is also switched systems. Under the circumstances, that the H1 control problem of all subsystems are not all solvable, the switched feedback control law and the switching law are designed using the average dwell-time method. The corresponding closed-loop switched system is exponentially stable and achieves a weighted L2-gain.

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Published

2016-04-15

How to Cite

Xu, H., & Wang, M. (2016). Robust H1 control for a class of switched nonlinear systems. JOURNAL OF ADVANCES IN MATHEMATICS, 12(2), 5870–5879. https://doi.org/10.24297/jam.v12i2.537

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Section

Articles