Explicit reentry guidance law by designing optimal and constrained trajectory

Document Type : Research Paper

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Abstract

An explicit guidance law for reentry vehicle moving toward a stationary target is presented in this work. the RV has been steered to a target through a trajectory which has the least miss distance and maximum impact velocity. Inverse dynamic approach is used to derive acceleration commands which are related to trajectory parameters, then The trajectory has been designed by using Bezier approximation which satisfies both of final constraints, including final position, direction and velocity, and maximum acceleration. 4th order Bezier curve with five control points is used to design trajectory, if the constraint of maximum acceleration not satisfied in each point of trajectory, new Bezier curve will be designed. During periods of command saturation, the instantaneous Bezier control points vary until sufficient control is available to follow the optimal trajectory. Finally, due to the importance of impact velocity, the particle swarm optimization has been used to to maximize impact velocity

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