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Robust Stabilization for a Class of Uncertain Switched NonlinearSystems via Backstepping Recursive Design
Wang Chunyan 1 *,JIAO Xiaohong 2,SHI Shengli 3
1.College of Sciences, University of Yanshan, HeBei QinHuangDao 066004
2.Institute of Electrical Engineering, University of Yanshan, HeBei QinHuangDao 066004
3.College of Sciences, University of Yanshan, HeBei QinHuangDao 066004
*Correspondence author
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Funding: Ph.D. Programs Foundation of Ministry of Education of China（No.20111333110001）, the National Natural ScienceFoundation of China（No.61074099）
Opened online:27 June 2012
Accepted by: none
Citation: Wang Chunyan,JIAO Xiaohong,SHI Shengli.Robust Stabilization for a Class of Uncertain Switched NonlinearSystems via Backstepping Recursive Design[OL]. [27 June 2012] http://en.paper.edu.cn/en_releasepaper/content/4482646
 
 
This paper is devoted to robust stabilization problem for a class of uncertain switched nonlinear systems with lower triangular structure. A new systematic recursive algorithm for designing a common stabilizing controller is proposed based on backstepping method. It is demonstrated theoretically the constructed controller can guarantee the resulting closed-loop switched system to be robust globally asymptotically stable at the equilibrium for any switching signal. Moreover, an illustrative example is given to show the effectiveness of the given recursive approach.
Keywords:switched nonlinear systems; uncertainty; robuststabilization; Backstepping design; common controller
 
 
 

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