非线性切换系统的输入输出对状态稳定  

Input-output-to-state Stability of Nonlinear Switched Systems

作　　者：林相泽[1,2] 邹云[2] 

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

出　　处：《南京理工大学学报》2010年第3期303-308,共6页Journal of Nanjing University of Science and Technology

基　　金：国家自然科学基金(60474078;60574015;60304001);南京农业大学青年科技创新基金(KJ09029)

摘　　要：为观测和估计切换系统状态,该文提出了一类非线性切换系统一致输入输出对状态稳定的充分条件。在一定条件下将切换系统化为受扰动系统。利用受扰动系统一致输入输出对状态稳定的结论,证明了非线性切换系统一致输入输出对状态稳定,存在光滑的李亚普诺夫函数和存在状态模估计器三者之间的等价关系。讨论了切换系统一致输入输出对状态稳定与其它相关稳定性之间的关系。To observe and estimate the state of switched systems,sufficient conditions for uniform input-output-to-state stability of nonlinear switched systems are proposed here.In some condition,switched systems are transformed into disturbed systems.Equivalence among uniform input-output-to-state stability of nonlinear switched systems,the existence of smooth Lyapunov function and the existence of the state-norm estimator is proved by using uniform input-output-to-state stability conclusions of disturbed systems.The relationship between uniform input-output-to-state stability of nonlinear switched systems and other stability property is discussed.

关 键 词：切换系统 输入输出对状态稳定 状态模估计器 李亚普诺夫函数 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]