Journal
AUTOMATICA
Volume 76, Issue -, Pages 258-265Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2016.09.029
Keywords
Switched system; Switching stabilization; Control-Lyapunov function; Sliding motion; Filippov solution
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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.
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