Nonlinear Differential Games-Based Impact-Angle-Constrained Guidance Law

Bardhan, Rajarshi and Ghose, Debasish (2015) Nonlinear Differential Games-Based Impact-Angle-Constrained Guidance Law. In: JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 38 (3). pp. 384-402.

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Abstract

The problem of intercepting a maneuvering target at a prespecified impact angle is posed in nonlinear zero-sum differential games framework. A feedback form solution is proposed by extending state-dependent Riccati equation method to nonlinear zero-sum differential games. An analytic solution is obtained for the state-dependent Riccati equation corresponding to the impact-angle-constrained guidance problem. The impact-angle-constrained guidance law is derived using the states line-of-sight rate and projected terminal impact angle error. Local asymptotic stability conditions for the closed-loop system corresponding to these states are studied. Time-to-go estimation is not explicitly required to derive and implement the proposed guidance law. Performance of the proposed guidance law is validated using two-dimensional simulation of the relative nonlinear kinematics as well as a thrust-driven realistic interceptor model.

Item Type:	Journal Article
Publication:	JOURNAL OF GUIDANCE CONTROL AND DYNAMICS
Publisher:	AMER INST AERONAUTICS ASTRONAUTICS
Additional Information:	Copy right for this article 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:	03 Sep 2015 06:22
Last Modified:	03 Sep 2015 06:22
URI:	http://eprints.iisc.ac.in/id/eprint/52298

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