奇异系统的慢速和快速稳定性

J. Cobb
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引用次数: 8

摘要

研究了存在寄生的LTI系统的鲁棒反馈控制问题。一个重要的相关概念是快速稳定性——一种表征寄生或高频效应的稳定性。从拓扑的角度给出了快速稳定性的严格定义,并将其与鲁棒反馈问题联系起来。给出了一般解法,并举例说明。
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Slow and fast stability in singular systems
We consider the problem of robust feedback control of LTI systems in the presence of parasitics. An essential related concept is that of fast stability -- a type of stability characterizing parasitics or high-frequency effects. A rigorous definition of fast stability is formulated in terms of topologies on a certain differentiable manifold and is connected with the robust feedback problem. A generic solution is given along with illustrative examples.
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