Feedback control of time-delay systems with bounded control and state
Summary: 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-symmetric polyhedral set to be positively invariant are obtained. Then existence conditions for a linear state feedback control law respecting the constraints are established, and a procedure is given in order to calculate such a controller. The paper restricts the focus to memoryless controlled systems but the results can be applied to cases of delayed controlled systems. An example is given.
scientific article; zbMATH DE number 1282736