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

M. Dambrine, J. P. Richard and P. Borne

Mathematical Problems in Engineering, 1995, vol. 1, 1-11

Abstract:

This paper is concerned with the problem of stabilizing linear time-delay systems under state and control linear constraints. For this, necessary and sufficient conditions for a given non-symmetrical polyhedral set to be positively invariant are obtained. Then existence conditions of linear state feedback control law respecting the constraints are established, and a procedure is given in order to calculate such a controller. The paper concerns memoryless controlled systems but the results can be applied to cases of delayed controlled systems. An example is given.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:858325

DOI: 10.1155/S1024123X95000081

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