Feedback control of time‐delay systems with bounded control and state
M. Dambrine, J. P. Richard, P. Borne
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Source: Crossref
Published: Jan 1, 1995
DOI: 10.1155/s1024123x95000081
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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.
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