Optimal Control With Chebyshev Minimax Performance Index

[+] Author and Article Information
C. D. Johnson

Electrical Engineering Department, University of Alabama in Huntsville, Huntsville, Ala.

J. Basic Eng 89(2), 251-262 (Jun 01, 1967) (12 pages) doi:10.1115/1.3609586 History: Received August 29, 1966; Online November 03, 2011


The optimal control of dynamical systems with conventional Mayer, Lagrange, and Bolza type performance indexes has been studied in some detail [1], [2], [3]. In the present paper, the optimal control of dynamical systems with a certain minimax type performance index, which cannot be expressed in the Mayer, Lagrange, or Bolza format, is studied. The form of the optimal control is described and certain geometric properties of the solution are discussed. Several examples are worked in detail to illustrate application of the proposed method of solution.

Copyright © 1967 by ASME
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