Some Applications of the Maximum Principle to Second-Order Systems, Subject to Input Saturation, Minimizing Error, and Effort

[+] Author and Article Information
G. Boyadjieff, D. Eggleston, M. Jacques, H. Sutabutra

University of California, Berkeley, Calif.

Y. Takahashi

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

J. Basic Eng 86(1), 11-21 (Mar 01, 1964) (11 pages) doi:10.1115/1.3653095 History: Received August 01, 1962; Online November 03, 2011


The optimal controls for various types of performance criteria are investigated for second-order systems by means of the Pontryagin’s Maximum Principle. Optimal control solutions for several examples are shown. The results presented show widely different modes of control depending upon the performance criteria, and also indicate a possibility of closed loop control. The methods used in the various solutions may be extended to other performance criteria and systems.

Copyright © 1964 by ASME
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