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Optimal Planar Interception with Fixed End Conditions: Approximate Solutions

Author

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  • V. Y. Glizer

    (Technion-Israel Institute of Technology)

Abstract

In a previous paper (Ref. 1), an exact solution of the optimal planar interception with fixed end conditions was derived in closed form. The optimal control was expressed as an explicit function of the state variables and two fixed parameters, obtained by solving a set of nonlinear algebraic equations involving elliptic integrals. In order to facilitate the optimal control implementation, the present paper derives a highly accurate simplified solution assuming that the ratio of the pursuer turning radius to the initial range is small. An asymptotic expansion further reduces the computational workload. Construction of a near-optimal open-loop control, based on the approximations, completes the present paper.

Suggested Citation

  • V. Y. Glizer, 1997. "Optimal Planar Interception with Fixed End Conditions: Approximate Solutions," Journal of Optimization Theory and Applications, Springer, vol. 93(1), pages 1-25, April.
    • Handle: RePEc:spr:joptap:v:93:y:1997:i:1:d:10.1023_a:1022675631937
    DOI: 10.1023/A:1022675631937
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    Cited by:

    1. Efstathios Bakolas & Panagiotis Tsiotras, 2013. "Optimal Synthesis of the Zermelo–Markov–Dubins Problem in a Constant Drift Field," Journal of Optimization Theory and Applications, Springer, vol. 156(2), pages 469-492, February.

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