Generalized sampled data feedback control of distributed parameter systems |
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Authors: | Richard Rebarber Stuart Townley |
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Affiliation: | aDepartment of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln, NE 68588-0323, USA;bDepartment of Mathematics, University of Exeter, Exeter, EX4 4QE, UK |
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Abstract: | 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. |
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Keywords: | Control Distributed parameter systems Feedback Sampled-data Generalized hold |
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