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RESEARCH PAPERS

Solution Space Approach to Optimal Control Problems

[+] Author and Article Information
Yu-Chi Ho

Harvard University, Cambridge, Mass.

J. Basic Eng 83(1), 53-58 (Mar 01, 1961) (6 pages) doi:10.1115/1.3658890 History: Received June 06, 1960; Online November 04, 2011

Abstract

In this paper, we study the control of the dynamic system governed by the matrix differential equation, ẋ = Fx + Du , x (0) = −c , where the input vector u is constrained in amplitude. It is shown that in the discrete (sampled data) case: (a) The general optimal control problem can be formulated as a nonlinear programming problem amenable to treatment by techniques developed in the operation research field. (b) The specific time optimal control problem originally studied by Kalman is treated here using a different approach which yields well-known as well as new results.

Copyright © 1961 by ASME
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