二维离散时间切换系统可镇定性研究  

Study on Stabilization of Planar Discrete time Switched Systems

作　　者：张长学[1] 宗广灯[1] 武玉强[1] 

机构地区：[1]曲阜师范大学自动化研究所,山东曲阜273165

出　　处：《工程数学学报》2007年第2期357-360,共4页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(6057400760674027);山东省自然科学基金(Y2003G02).

摘　　要：考虑了二维线性离散时间切换系统的二次可镇定问题,在子系统可镇定或者可控的前提下,通过设计切换状态反馈控制器,给出了系统二次可镇定的充要条件,从而保证了任意切换下闭环系统的二次稳定性。仿真结果验证了本文的主要结论。The quadratic stabilization of planar discrete time switched systems is considered. Under the assumption of stabilization or controllability of the subsystems, the necessary and sufficient condition is derived through designing switching state feedback controllers, which guarantees the quadratic stability of the closed-loop switched system under arbitrary switching. The main result is validated through a numerical simulation.

关 键 词：离散时间切换系统 二次可镇定 公共Lyapunov函数 状态反馈控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]