Feedback Control of Time-Delay Systems with Bounded Control and State

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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. © 1995, OPA (Overseas Publishers Association).

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Dambrine, M., Richard, J. P., & Borne, P. (1995). Feedback Control of Time-Delay Systems with Bounded Control and State. Mathematical Problems in Engineering, 1(1), 77–87. https://doi.org/10.1155/S1024123X95000081

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