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非线性切换系统的镇定与非光滑控制Lyapunov函数
Stabilization of Nonlinear Switching Systems and Non-smooth Control-Lyap unov Function
【摘要】 对构建一般非线性切换系统的切换律进行了讨论,由系统的渐近能控性出发,在一定的假设前提下,得出了存在依赖于状态的切换律,使闭环系统在广义的意义下渐近稳定的结论。结论推广到了仿射控制系统,给出了使系统镇定的一个充分条件。
【Abstract】 This paper presents a construction of the switching rule for general nonlinear switching systems. Beginning with the system asymptotic controllability, under certain presuppositions, it proves that there exists a state-depending switching rule which stabilizes the system in a very general sense. Then, the result is extended to the affine control system. A sufficient condition is given for the stabilization of the system.
【关键词】 镇定;
切换系统;
Krasowski解;
控制Lyapunov函数;
【Key words】 Stabilization; Switching systems; Krasowski solutions; Control-Lyapunov functions;
【Key words】 Stabilization; Switching systems; Krasowski solutions; Control-Lyapunov functions;
- 【文献出处】 洛阳理工学院学报(自然科学版) ,Journal of Luoyang Institute of Science and Technology(Natural Science Edition) , 编辑部邮箱 ,2008年01期
- 【分类号】TP13
- 【下载频次】110