切换系统不变集的输出反馈镇定

Output feedback stabilization of invariant sets for switched systems

利用一个非负函数V(x),推广了小时间状态模可观测和大时间状态模可观测的定义,提出了小时间V(x)可观测和大时间V(x)可观测的概念.利用V(x)可观测的概念,讨论了子系统无源的切换系统不变集的有界输出反馈镇定及动态输出反馈镇定.利用多Lyapunov函数证明了闭环系统渐近稳定.仿真例子验证了文中结论正确性.

By employing a nonnegative function V （x）, we extend the definitions of small-time and large-time state-norm observability to the definitions of small-time and large-time V（x） observability. Based on the concept of V （x） observability, we stabilize the invariant sets of the switched systems with passive subsystems by using the bounded output feedback and the dynamic output feedback. The results are proved in detail by using multiple Lyapunov functions. Numerical examples are employed to verify the proposed method.