Optimal Planar Interception with Fixed End Conditions: Approximate Solutions

V. Y. Glizer
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V. Y. Glizer: Technion-Israel Institute of Technology

Journal of Optimization Theory and Applications, 1997, vol. 93, issue 1, No 1, 25 pages

Abstract: 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.

Keywords: Planar interception; fixed end conditions; approximate solutions; asymptotic expansions; near-optimal open-loop control (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1023/A:1022675631937

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