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Upper Bounds of the Pursuer Control Based on a Linear-Quadratic Differential Game

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  • V. Turetsky

    (Israel Institute of Technology)

Abstract

Differential game formulations provide an adequate basis for a guidance law synthesis against highly maneuvering targets. This paper deals with a guidance law based on a linear-quadratic differential game formulation. This guidance law has many attractive properties: it is continuous, linear with respect to the state variables, and its gain coefficients can be precalculated offline. Nevertheless, due to the lack of hard control constraints in the formulation, the magnitude of the control can exceed the admissible level imposed by the nature of the problem. In this paper, the upper bound of the interceptor control is obtained depending on the system parameters and the penalty coefficients of the game performance index. It is shown that the interceptor can guarantee an arbitrarily small miss distance without exceeding the control constraints if it has sufficient maneuverability and if the penalty coefficients are chosen properly. By manipulating the penalty coefficients, it is possible to reduce significantly the maneuverability requirements compared to the case of zero interceptor penalty coefficient.

Suggested Citation

  • V. Turetsky, 2004. "Upper Bounds of the Pursuer Control Based on a Linear-Quadratic Differential Game," Journal of Optimization Theory and Applications, Springer, vol. 121(1), pages 163-191, April.
    • Handle: RePEc:spr:joptap:v:121:y:2004:i:1:d:10.1023_b:jota.0000026136.25737.8d
    DOI: 10.1023/B:JOTA.0000026136.25737.8d
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    Citations

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    Cited by:

    1. Yanfang Liu & Naiming Qi & Zhiwei Tang, 2013. "Effects of Divert-Thrusters on Homing Performance of Endo-atmospheric Interceptors," Journal of Optimization Theory and Applications, Springer, vol. 156(2), pages 345-364, February.
    2. V. Y. Glizer & V. Turetsky, 2008. "On the Inverse Problem for Robust Capture Zone Construction," Journal of Optimization Theory and Applications, Springer, vol. 137(2), pages 381-400, May.
    3. V. Turetsky, 2007. "Capture Zones of Cheap Control Interception Strategies," Journal of Optimization Theory and Applications, Springer, vol. 135(1), pages 69-84, October.
    4. V. Turetsky & V. Y. Glizer, 2004. "Robust State-Feedback Controllability of Linear Systems to a Hyperplane in a Class of Bounded Controls," Journal of Optimization Theory and Applications, Springer, vol. 123(3), pages 639-667, December.

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