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Journal Articles Mathematical Problems in Engineering Year : 1995

Feedback control of time-delay systems with bounded control and state

Abstract

This paper concerns the problem of stabilizing linear time-delay systems under state and control linear constraints. For this, necessary and sufficient conditions for a given polyhedral set (possibly non-symmetrical) to be positively invariant are obtained. The existence conditions of linear state feedback control laws respecting the constraints are established, and a procedure is given in order to compute such a controller. The paper presents memoryless controlled systems but the results can be applied to cases of delayed-controlled systems. An example is given.
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hal-02560687 , version 1 (05-09-2022)

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Attribution - CC BY 4.0

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Michel Dambrine, Jean-Pierre Richard, Pierre Borne. Feedback control of time-delay systems with bounded control and state. Mathematical Problems in Engineering, 1995, 1 (1), pp.77-87. ⟨10.1155/S1024123X95000081⟩. ⟨hal-02560687⟩
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