Constrained Time-Optimal Control of Discrete-Time Systems with Known Waveform Disturbances

J.L. Riffer, K.H. Barhouse, S.C. Schneider, and E.E. Yaz (USA)

Keywords

Control Systems, Optimization, Digital Systems, Stability

Abstract

A linear discrete-time system model with both process and measurement disturbances is considered. The waveform types of the disturbances are known but unmeasureable and have unknown magnitudes and arrival times. A previously proposed discrete-time dead-beat disturbance accommodation controller is revisited. This controller uses a reduced-order dead-beat observer to provide estimates of both the system state and disturbances. This technique will drive the state and output values to zero in minimum time when no disturbances are present. Two extensions are presented in this work: the first one minimizes the magnitude of the input in accomplishing the control task. A condition for the stability of the closed loop system is given. The second extension is provided to handle systems with no feed-forward term in the measurement. Simulation results are included to illustrate the developed theory.

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