Stabilizability and dead-beat controllers for two classes of Wiener-Hammerstein models

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1999-12-01
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IEEE Transactions on Automatic Control
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IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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Electrical and Electronic Engineering
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Journal Article
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Nešić, D. & Bastin, G. (1999). Stabilizability and dead-beat controllers for two classes of Wiener-Hammerstein models. IEEE Transactions on Automatic Control, 44 (11), pp.2068-2071. https://doi.org/10.1109/9.802917.
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Two classes of block oriented models of the Wiener-Hammerstein type are considered. We prove that a generic condition is sufficient for a null controllable discrete-time system of this form to have a stabilizing minimum-time dead-beat controller. When the condition is violated, we show how to design a nonminimum time stabilizing (dynamic) dead-beat controller. The result is used to obtain stabilizability conditions for these systems.
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