Stabilisation for one‐sided Lipschitz non‐linear differential inclusions. Issue 18 (1st December 2013)

• Record Type: Journal Article
• Authors: Cai, Xiushan; Lin, Yuhang; Hong, Shuyue
• Is Part Of: IET control theory & applications. Volume 7:Issue 18(2013)
• Page Start: 2172
• Page End: 2177
• Publication Date: 2013-12-01
• Subjects: asymptotic stability -- closed loop systems -- control system synthesis -- linear matrix inequalities -- nonlinear control systems; continuous control laws -- linear matrix inequalities -- closed‐loop system -- exponential stabilisation -- stabilisation design methods -- one‐sided Lipschitz nonlinear differential inclusions; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2013.0136
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : Stabilisation design methods for one‐sided Lipschitz non‐linear differential inclusions are considered in this study. Sufficient conditions of exponential stabilisation for the closed‐loop system are given by solving linear matrix inequalities. Two kinds of continuous control laws are designed such that the closed‐loop systems are exponentially stable at the origin, respectively. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design technique.