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摘要: 利用一个非负函数 V(x) 提出一个新的输入输出对状态稳定的概念——输入输出对 V(x) 稳定. 基于这一概念并结合系统无源性的结论, 提出了一类非线性切换系统不变集可输出反馈镇定的充分条件. 利用统一 Lyapunov 函数和多 Lyapunov 函数给出了定理的证明. 最后, 详细讨论了输入输出对 V(x) 稳定与输入输出对状态稳定的关系.
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关键词:
- 输入输出对状态稳定 /
- 输入输出对 V(x) 稳定 /
- 不变集 /
- 输出反馈 /
- 统一 Lyapunov 函数 /
- 多 Lyapunov 函数
Abstract: A novel concept of input/output-to-state stability, i.e., input/output-to-V(x) stability, is proposed by using a nonnegative function V(x). By virtue of this notion and passivity results, sufficient conditions under which an invariant set of a class of nonlinear switched systems can be stabilized by output feedback controllers are proposed. The stability results are proved by using common Lyapunov function and multiple Lyapunov functions respectively. Finally, the relationship between input/output-to-V(x) stability and input/output-to-state stability is discussed in detail. -
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