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Generalized model predictive static programming and its application to 3D impact angle constrained guidance of air-to-surface missiles

Maity, Arnab and Oza, Harshal B and Padhi, Radhakant (2013) Generalized model predictive static programming and its application to 3D impact angle constrained guidance of air-to-surface missiles. In: 2013 American Control Conference (ACC), 17-19 June 2013, Washington, DC, pp. 4999-5004.

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A new `generalized model predictive static programming (G-MPSP)' technique is presented in this paper in the continuous time framework for rapidly solving a class of finite-horizon nonlinear optimal control problems with hard terminal constraints. A key feature of the technique is backward propagation of a small-dimensional weight matrix dynamics, using which the control history gets updated. This feature, as well as the fact that it leads to a static optimization problem, are the reasons for its high computational efficiency. It has been shown that under Euler integration, it is equivalent to the existing model predictive static programming technique, which operates on a discrete-time approximation of the problem. Performance of the proposed technique is demonstrated by solving a challenging three-dimensional impact angle constrained missile guidance problem. The problem demands that the missile must meet constraints on both azimuth and elevation angles in addition to achieving near zero miss distance, while minimizing the lateral acceleration demand throughout its flight path. Both stationary and maneuvering ground targets are considered in the simulation studies. Effectiveness of the proposed guidance has been verified by considering first order autopilot lag as well as various target maneuvers.

Item Type: Conference Paper
Series.: Proceedings of the American Control Conference
Publisher: IEEE
Additional Information: Copyright of this article belongs to IEEE.
Keywords: Generalized Model Predictive Static Programming; Impact Angle Constrained Guidance; Computationally Efficient Optimal Control
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 20 Dec 2013 09:43
Last Modified: 20 Dec 2013 09:43
URI: http://eprints.iisc.ac.in/id/eprint/48081

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