Stability Analysis and Control Synthesis for a Class of Cascade Switched Nonlinear Systems with Actuator Saturation

被引:27
|
作者
Wang, Juan [1 ,2 ,3 ]
Zhao, Jun [1 ,2 ]
机构
[1] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang, Peoples R China
[2] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China
[3] Tieling Normal Coll, Coll Sci, Tieling 112000, Peoples R China
基金
中国国家自然科学基金;
关键词
Cascade switched systems; Actuator saturation; Dwell time; Exponential stability; LINEAR-SYSTEMS; LYAPUNOV FUNCTIONS;
D O I
10.1007/s00034-014-9776-7
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper considers the stabilization problem for a class of cascade switched nonlinear systems. Each subsystem of the switched nonlinear system studied consists of a linear part and a nonlinear part, and the linear parts are composed of stabilizable and unstabilizable subsections. The actuator saturation is taken into consideration using the convex hull technique. Through constructing the proper Lyapunov functions, sufficient conditions in terms of LMIs for the solvability of the stabilization problem are presented. A state feedback controller and the dwell-time switching strategy are proposed to guarantee the exponential stability of the resulting closed-loop system. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed results.
引用
收藏
页码:2961 / 2970
页数:10
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