2011•Journal of Solid Rocket TechnologyRequires access

LQG differential game guidance law for high-order controlled missiles

Hua Wenhua, Chen Xing-lin

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Abstract

Based on differential game two-sided optimal theory,a general form LQG differential game guidance law was presented,which was applicable to systematically analyzing any order controlled interception missile and target.As this general form guidance law possesses analytical solution,for an interception missiles with the first-order bi-proper transfer function,verification and simulation can be performed.In the case,the differential game guidance law was derived,and the guidance gains,differential game space and existance conditions of saddle point solution were analyzed.The simulation results verify correction of the general form differential game guidance law.

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What this paper is about

Based on differential game two-sided optimal theory,a general form LQG differential game guidance law was presented,which was applicable to systematically analyzing any order controlled interception missile and target.As this general form guidance law possesses analytical solution,for an interception missiles with the first-order bi-proper transfer function,verification and simulation can be performed.In the case,the differential game guidance law was derived,and the guidance gains,differential game space and existance conditions of saddle point solution were analyzed.The simulation results verify correction of the general form differential game guidance law.

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Available abstract

Based on differential game two-sided optimal theory,a general form LQG differential game guidance law was presented,which was applicable to systematically analyzing any order controlled interception missile and target.As this general form guidance law possesses analytical solution,for an interception missiles with the first-order bi-proper transfer function,verification and simulation can be performed.In the case,the differential game guidance law was derived,and the guidance gains,differential game space and existance conditions of saddle point solution were analyzed.The simulation results verify correction of the general form differential game guidance law.

Key concepts: Differential game, Missile, Differential (mechanical device), Missile guidance, Interception, Saddle point, Computer science, Order (exchange)

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