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

Author

Listed:
  • M. Dambrine
  • J. P. Richard
  • P. Borne

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.

Suggested Citation

  • M. Dambrine & J. P. Richard & P. Borne, 1995. "Feedback control of time-delay systems with bounded control and state," Mathematical Problems in Engineering, Hindawi, vol. 1, pages 1-11, January.
  • Handle: RePEc:hin:jnlmpe:858325
    DOI: 10.1155/S1024123X95000081
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