A near-optimal closed-loop solution method for nonsingular zero-sum differential games

  • G. M. Anderson
Contributed Papers

Abstract

This paper presents a method for generating nearoptimal closed-loop solutions to zero-sum perfect information differential games with and without the final time explicitly specified, and with and without control constraints. This near-optimal closed-loop solution is generated by periodically updating the solution to the two-point boundary-value problem obtained by the application of the necessary conditions for a saddle-point solution. The resulting updated open-loop control is then used between updating intervals. Three examples are presented to illustrate the application of this method.

Key Words

Differential games closed-loop controls numerical methods optimal strategies zero-sum games 

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References

  1. 1.
    Bryson, A. E., andHo, Y.-C.,Applied Optimal Control, Ginn and Company, Waltham, Massachusetts, 1969.Google Scholar
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    Isaacs, R.,Differential Games, John Wiley and Sons, New York, New York, 1965.Google Scholar
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    Anderson, G. M., andOthling, W. L.,A Near Optimal Closed-Loop Control Law for a Class of Aircraft/Aircraft Pursuit-Evasion Differential Games, Proceedings of the 1971 IEEE Conference on Decision and Control, Miami Beach, Florida, 1971.Google Scholar
  4. 4.
    Anderson, G. M.,A Real Time Closed-Loop Solution Method for a Class of Nonlinear Differential Games, IEEE Transactions on Automatic Control, Vol. AC-17, No. 4, 1972.Google Scholar

Copyright information

© Plenum Publishing Corporation 1974

Authors and Affiliations

  • G. M. Anderson
    • 1
  1. 1.Department of MechanicsAir Force Institute of TechnologyWright-Patterson AFB

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