Nonlinear observability notions and stability of switched systems
Nonlinear observability notions and stability of switched systems
复制标题
DOI：
--
复制
发表时间：
2003
期刊：
影响因子：
--
通讯作者：
J. Hespanha;D. Liberzon;D. Angeli;Eduardo Sontag
中科院分区：
文献类型：
--
作者：
J. Hespanha;D. Liberzon;D. Angeli;Eduardo Sontag
本文提出了非线性系统能观测性的几种定义，并探讨了它们之间的关系。这些能观性性质涉及到状态范数在某一时间间隔上关于输出和输入范数的界的存在。还得到了一个类似Lyapunov的可观性充分条件。作为应用，我们证明了切换非线性系统的Lasalle稳定性定理的几个变种。这些结果对于存在切换的控制设计以及发展切换反馈系统的Popov型稳定性结果都是有用的。
This paper proposes several definitions of observability for nonlinear systems and explores relationships among them. These observability properties involve the existence of a bound on the norm of the state in terms of the norms of the output and the input on some time interval. A Lyapunov-like sufficient condition for observability is also obtained. As an application, we prove several variants of LaSalle’s stability theorem for switched nonlinear systems. These results are demonstrated to be useful for control design in the presence of switching as well as for developing stability results of Popov type for switched feedback systems.