非线性切换系统的集合稳定性分析  

Set stability analysis of nonlinear switched systems

作　　者：林相泽[1,2] 邹云[1] 

机构地区：[1]南京理工大学自动化学院,南京210094 [2]南京农业大学工学院,南京210031

出　　处：《控制与决策》2009年第4期611-616,共6页Control and Decision

基　　金：国家自然科学基金项目(60474078,60574015,60304001);江苏省农机基金项目(gxz08008)

摘　　要：将输出对状态稳定和状态模可观测等概念进行推广,提出了输出对V(x)稳定、小时间V(x)可观测、大时间V(x)可观测的定义.利用上述定义,给出了非线性切换系统的V(x)零值集稳定的充分条件.分别利用统一Lyapunov函数和多Lyapunov函数证明了所提出的结论,并详细讨论了输出对V(x)稳定与输出对状态稳定及其他相关定义之间的关系.数值例子验证了所提出结论的正确性.The concepts of output-to-state stability and state norm observability are extended. The definitions of output-to-V（x） stability, small-time V （x） observability and large-time V （x） observability are proposed for the nonlinear switched systems. Based on these new concepts, some sufficient conditions are proposed for that the zerovalue set of the function V（x） of the nonlinear switched systems is stable. The stability results are proved by using common Lyapunov function and multiple Lyapunov functions respectively. Finally, the relationship between the concepts proposed in this paper and the existing related definitions is discussed in details. Numerical examples verify the conclusion of the proposed method.

关 键 词：切换系统 输出对状态稳定 输出对V(x)稳定 集合稳定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]