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Generalized Model Predictive Static Programming and Angle-Constrained Guidance of Air-to-Ground Missiles

Maity, Arnab and Oza, Harshal B and Padhi, Radhakant (2014) Generalized Model Predictive Static Programming and Angle-Constrained Guidance of Air-to-Ground Missiles. In: JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 37 (6). pp. 1897-1913.

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Official URL: http://dx.doi.org/ 10.2514/1.G000038

Abstract

A new generalized model predictive static programming technique is presented for rapidly solving a class of finite-horizon nonlinear optimal control problems with hard terminal constraints. Two key features for its high computational efficiency include one-time backward integration of a small-dimensional weighting matrix dynamics, followed bya static optimization formulation that requires only a static Lagrange multiplier to update the control history. It turns out that under Euler integration and rectangular approximation of finite integrals it is equivalent to the existing model predictive static programming technique. In addition to the benchmark double integrator problem, usefulness of the proposed technique is demonstrated by solving a three-dimensional angle-constrained guidance problem for an air-to-ground missile, which demands that the missile must meet constraints on both azimuth and elevation angles at the impact point in addition to achieving near-zero miss distance, while minimizing the lateral acceleration demand throughout its flight path. Simulation studies include maneuvering ground targets along with a first-order autopilot lag. Comparison studies with classical augmented proportional navigation guidance and modern general explicit guidance lead to the conclusion that the proposed guidance is superior to both and has a larger capture region as well.

Item Type: Journal Article
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Additional Information: Copyrights for this articles belongs to the AMER INST AERONAUTICS ASTRONAUTICS, 1801 ALEXANDER BELL DRIVE, STE 500, RESTON, VA 22091-4344 USA
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 14 Dec 2014 10:08
Last Modified: 14 Dec 2014 10:08
URI: http://eprints.iisc.ernet.in/id/eprint/50428

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