Optimal Guidance of the Isotropic Rocket in the Presence of Wind

Efstathios Bakolas ()
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Efstathios Bakolas: The University of Texas at Austin

Journal of Optimization Theory and Applications, 2014, vol. 162, issue 3, No 15, 954-974

Abstract: Abstract We address the minimum-time guidance problem for the so-called isotropic rocket in the presence of wind under an explicit constraint on the acceleration norm. We consider the guidance problem to a prescribed terminal position and a circular target set with a free terminal velocity in both cases. We employ standard techniques from optimal control theory to characterize the structure of the optimal guidance law as well as the corresponding minimum time-to-go function. It turns out that the complete characterization of the solution to the optimal control problem reduces to the solution of a system of nonlinear equations in triangular form. Numerical simulations, that illustrate the theoretical developments, are presented.

Keywords: Isotropic rocket; Optimal control; Guidance; Pontryagin’s minimum principle (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-013-0504-4

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