On the Equivalence of Discrete Systems in Time-Optimal Control

[+] Author and Article Information
E. Polak

Department of Electrical Engineering, University of California, Berkeley, Calif.

J. Basic Eng 85(2), 204-210 (Jun 01, 1963) (7 pages) doi:10.1115/1.3656562 History: Received April 05, 1962; Online November 03, 2011


It is shown in this paper that under a transformation which maps the state space of a system onto a sequence space in a one-to-one manner, time-optimal discrete regulator systems with different dynamics and modulators can be brought to equivalence and that this fact may be used to construct an optimal control strategy for one system from the known optimal control strategy of another one. In particular, the optimal control strategy for a pulse-width-modulated discrete system with a plant described by an nth order linear differential equation is derived in this manner.

Copyright © 1963 by ASME
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