摘要
证明了一类切换系统的一个不变性原理,并将输入对状态稳定的概念推广到输入对系统某个非负能量函数稳定的情况.基于这个不变性原理以及输入对系统能量函数稳定的概念,利用多Lyapunov函数方法提出并证明了一类具有Lyapunov稳定子系统的切换系统的不变集可状态反馈镇定的条件.最后讨论了输入对系统能量函数稳定与输入对状态稳定的关系.仿真结果证明了该方法的可行性.
An invariance principle is developed for a class of switched systems and the concept of the input-to-state stability is extended to the stability of input to an energy function of the switched systems. Based on this notion and the invariance principle, a condition is proposed and proved, under which an invariant set of states of a switched system with Lyapunov stable subsystems can be stabilized by state feedback. The relationship between these two kinds of stability is discussed in detail. Simulation result shows the validity of the method.
出处
《控制与决策》
EI
CSCD
北大核心
2005年第2期127-131,136,共6页
Control and Decision
基金
国家自然科学基金项目(60425308)
教育部科技重点项目(02112).