Stability and Stabilization of Discrete Switched Systems Based on Parameter-Dependent Lyapunov Functions

Abstract:

This paper addresses the stability and stabilization of discrete switched systems which can be used to describe manufacturing systems. A new sufficient and necessary condition in the use of parameter-dependent Lyapunov functions is proposed to guarantee the switched system stability under arbitrary switching. The control synthesis approach presented in this work reduces the conservatism by slack variables while investigating the static output feedback control issue. A cone complementarity linearization algorithm is applied to make the condition a minimization problem in the form of LMIs. By numerical evaluation, the new control design technique is illustrated to be more efficient.

• Periodical: Applied Mechanics and Materials (Volumes 365-366)
• Pages: 932-937
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.365-366.932
• Online since: August 2013
• Authors: Tong Wang, Song Pu Wu, Qing Wang, Chao Yang Dong
• Keywords: Cone Complementarity Linearization, Discrete Switched Systems, Lyapunov Function, Slack Variable, Stability Analysis

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