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Nonlinear bounded-control differential game guidance law for variablespeed missiles

Chen Xing-lin

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Abstract

Based on constant-speed assumption of interception missile and target,the traditional guidance laws can not provide satisfactory homing performance beause of the time-varying of flight speeds and maximum maneuverabilities in the actual scenarios.Therefore,a nonlinear bounded-control differential game guidance law in variable-speed interception scenario is presented based on differential game theory.The two-sided speed-variations are considered as an integral part of the engagement model,and the original system is linearized by means of proper choiced states for guidance law derivation. For the implementation,it is expressed in terms of the original nonlinear system state variables by transformation.The simulation results show that this guidance law is easy to implement,and can realize the interception of target effectively and requires low maneuverability.

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What this paper is about

Based on constant-speed assumption of interception missile and target,the traditional guidance laws can not provide satisfactory homing performance beause of the time-varying of flight speeds and maximum maneuverabilities in the actual scenarios.Therefore,a nonlinear bounded-control differential game guidance law in variable-speed interception scenario is presented based on differential game theory.The two-sided speed-variations are considered as an integral part of the engagement model,and the original system is linearized by means of proper choiced states for guidance law derivation. For the implementation,it is expressed in terms of the original nonlinear system state variables by transformation.The simulation results show that this guidance law is easy to implement,and can realize the interception of target effectively and requires low maneuverability.

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Available abstract

Based on constant-speed assumption of interception missile and target,the traditional guidance laws can not provide satisfactory homing performance beause of the time-varying of flight speeds and maximum maneuverabilities in the actual scenarios.Therefore,a nonlinear bounded-control differential game guidance law in variable-speed interception scenario is presented based on differential game theory.The two-sided speed-variations are considered as an integral part of the engagement model,and the original system is linearized by means of proper choiced states for guidance law derivation. For the implementation,it is expressed in terms of the original nonlinear system state variables by transformation.The simulation results show that this guidance law is easy to implement,and can realize the interception of target effectively and requires low maneuverability.

Key concepts: Differential game, Missile, Nonlinear system, Interception, Bounded function, Control theory (sociology), Missile guidance, Differential (mechanical device)

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