Time-Optimal Control of Disturbance-Rejection Tracking Systems for Discrete-Time Time-Delayed Systems by State Feedback

摘要

In this paper, we solve the disturbance-rejection and tracking problem for linear mul- tivariable discrete-time systems with time-delayed controlled inputs. A set of necessary and sufficient conditions under which the proposed problem is controllable is denned. Also, the nilpotency properties of such systems is established and used as the basis of a comprehensive design procedure. This general procedure is illustrated by designing a time-optimal disturbance rejection tracking system for a stirred-tank with time-delayed control inputs.