A Hyland-Bernstein approach to the digital control of Pritchard-Salamon systems |
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Authors: | BARB FLORIN DAN; KONING WILLEM DE |
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Institution: |
Faculty of Technical Mathematics and Informatics, Delft University of Technology P.O. Box 5031, 2600 GA Delft, The Netherlands
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Abstract: | In this paper we consider the fixed finite-order digital linear-quadraticcontrol of Pritchard-Salamon infinite-dimensional systems withunbounded input and output operators under gaussian disturbances.A set of necessary conditions is given in terms of the solvabilityof a discrete-time Hyland-Bernstein system of equations (twomodified Riccati equations and two modified Lyapunov equationscoupled by an projection operator). |
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