Generalized sampled data feedback control of distributed parameter systems

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• 作者：Rebarber ; Richard ; Townley ; Stuart
• 关键词：Control ; Distributed parameter systems ; Feedback ; Sampled-data ; Generalized hold
• 刊名：Systems and Control Letters
• 出版年：1998
• 出版时间：July 27, 1998
• 年：1998
• 卷：34
• 期：5
• 页码：229-240
• 全文大小：121 K

文摘

In the sampled-data control literature there are necessary conditions and sufficient conditions for stabilizability of distributed parameter systems by generalized sampled-data control. For finite-dimensional systems the necessary conditions are also known to be sufficient. We show that this equivalence extends to the infinite-dimensional case if the underlying semigroup is analytic. However, for general systems, the necessary conditions are not sufficient, nor are the sufficient conditions necessary. We prove this by a single example with a free parameter – one choice of parameter shows that the necessary conditions are too weak, and another choice shows that the sufficient conditions are too strong.