Optimal Control Methods for On-Off Sampling Systems

[+] Author and Article Information
W. L. Nelson

Bell Telephone Laboratories, Whippany, N. J.

J. Basic Eng 84(1), 91-99 (Mar 01, 1962) (9 pages) doi:10.1115/1.3657277 History: Received March 01, 1961; Online November 04, 2011


This paper considers the problem of optimal (minimum-time) on-off regulation of a dynamic plant whose state is known only at periodic instants of time. It is shown that on-off control inputs which change value only at the sampling instants inherently lack the capability of providing accurate (dead-beat) control. If, however, the on-off controller is modified to include pulse width control, it not only has the capability for accurate control, but also has the capability for optimal control comparable to that of a saturating amplifier controller. In addition, the optimal pulse width control inputs can be specified as a function of the state of the plant at each sampling instant. The application of this method is discussed in detail for the cases of pure inertial and second-order underdamped plants.

Copyright © 1962 by ASME
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