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A piecewise smooth control-Lyapunov function framework for switching stabilization
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DOI：10.1016/j.automatica.2016.09.029.png)
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En 中文
This paper studies switching stabilization problems for general switched nonlinear systems. A piecewise smooth control-Lyapunov function (PSCLF) approach is proposed and a constructive way to design stabilizing switching laws is developed. The switching law is constructed via directional derivative of the PSCLF with a careful discussion on various technical issues that may occur on the nonsmooth surface. Sufficient conditions are derived to ensure stability of closed-loop Filippov solutions including possible sliding motions. The proposed PSCLF approach provides a unified framework to study switching stabilization problems with a systematic consideration of sliding motions. Application to stabilization of switched nonlinear systems is illustrated through a numerical example. (C) 2016 Elsevier Ltd. All rights reserved.
Keyword:
Switched system
Switching stabilization
Control-Lyapunov function
Sliding motion
Filippov solution
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IF:
5.9
论文数:
1.2W
被引数:
5.2W
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