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RESEARCH PAPERS

A Constraining Hyperplane Technique for State Variable Constrained Optimal Control Problems

[+] Author and Article Information
K. Martensson

Lund Institute of Technology, Lund, Sweden

J. Dyn. Sys., Meas., Control 95(4), 380-389 (Dec 01, 1973) (10 pages) doi:10.1115/1.3426739 History: Received April 04, 1973; Online July 13, 2010

Abstract

A new approach to the numerical solution of optimal control problems with state-variable inequality constraints is presented. It is shown that the concept of constraining hyperplanes may be used to approximate the original problem with a problem where the constraints are of a mixed state-control variable type. The efficiency and the accuracy of the combination of constraining hyperplanes and a second-order differential dynamic programming algorithm are investigated on problems of different complexity, and comparisons are made with the slack-variable and the penalty-function techniques.

Copyright © 1973 by ASME
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