Adaptive stabilisation of random systems with arbitrary switchings. Issue 18 (1st December 2015)

• Record Type: Journal Article
• Authors: Jiao, Ticao; Xu, Shengyuan; Li, Yongmin; Li, Ze
• Is Part Of: IET control theory & applications. Volume 9:Issue 18(2015)
• Page Start: 2634
• Page End: 2640
• Publication Date: 2015-12-01
• Subjects: nonlinear systems -- adaptive systems -- switching systems (control) -- Lyapunov methods -- asymptotic stability -- state feedback -- control system synthesis -- closed loop systems -- uncertain systems -- mean square error methods; adaptive stabilisation -- random nonlinear system -- arbitrary switching -- parameter uncertainty -- Lyapunov function -- adaptive state feedback controller design -- closed‐loop system -- exponential noise‐to‐state stability -- mean square; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2015.0065
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : This study is concerned with the global stabilisation problem for a class of random non‐linear systems with arbitrary switchings and parameter uncertainties. Under some milder assumptions and by constructing a Lyapunov function, a common adaptive state feedback controller is designed such that the resulting closed‐loop system has a globally unique and almost surely bounded solution. Furthermore, the system states are exponentially noise‐to‐state stable in mean square. Finally, the efficiency of the proposed design approach is demonstrated by a numerical example.