Simultaneous stabilization of LTI systems by means of nonlinear time-varying feedback
Simultaneous stabilization of LTI systems by means of nonlinear time-varying feedback
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DOI：
10.1109/acc.1997.612039
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发表时间：
1997-06
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影响因子：
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通讯作者：
B. Ho-Mock-Qai
中科院分区：
文献类型：
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作者：
B. Ho-Mock-Qai
可数控制系统族的同时稳定在于找到渐近稳定该族中所有系统的反馈定律。在本文中，我们介绍了一种新方法，使我们能够证明给定任何有限族 LTI（线性时不变）系统，存在连续非线性时变反馈定律，该定律同时全局指数地稳定该族。我们还推导了可数无限族 LTI 系统同时渐近稳定的充分条件。在这两种情况下，我们都提供简单的设计程序以及明确的反馈法则。
The simultaneous stabilization of a countable family of control systems consists in finding a feedback law that asymptotically stabilizes all the systems in the family. In this paper, we introduce a new method that enables us to prove that given any finite family of LTI (linear time-invariant) systems, there exists a continuous nonlinear time-varying feedback law which simultaneously globally exponentially stabilizes this family. We also derive sufficient conditions for the simultaneous asymptotic stabilizability of countably infinite families of LTI systems. In both cases we provide simple design procedures as well as explicit feedback laws.