A Singular Perturbation Suboptimal Guidance Law with Terminal Ballistic Inclination and Angle of Attack Constraints

Abstract

The invention relates to a singular perturbation suboptimal guidance law with terminal ballistic inclined angle and attack angle constraints, comprising the following steps of determining the time scale of a system state variable; establishing a singular perturbation system; solving a zero-order slow system; solving a first-order rapid system; calculating first-order time-to-go tgo; and calculating the optimal control instruction acceleration meeting the requirements for target-missing quality, a terminal ballistic inclined angle and an attack angle to update an instruction. The singular perturbation suboptimal guidance law has the advantages that an analytical guidance law can meet the requirements for the target-missing quality, terminal ballistic inclined angle and attack angle constraints and also meet the requirement for energy control optimum in a flight process as comparison with the traditional terminal guidance law; the guidance law is used for solving based on a singular perturbation theory, and the obtained optimal control guidance law is simpler in form and brighter in physical significance; and the guidance law provides a novel solving thought for solving a complex high-order optimal control guidance law, can be used for solving more constraints and is wide in applicability.

Description

technical field [0001] The invention relates to a singular perturbation suboptimal guidance law with terminal ballistic inclination angle and attack angle constraints, and belongs to the fields of aerospace technology, weapon technology and guidance control. Background technique [0002] With the continuous development of the combat environment and use requirements, when the missile is carrying out terminal strikes, it not only needs to meet the constraints of the amount of misses, but also needs to hit the target with the best attitude, so as to maximize the combat effectiveness of the warhead. To create the best damage effect, this requires that in the terminal guidance, not only the terminal constraints such as the amount of miss, ballistic inclination, and falling speed must be considered, but also the angle of attack should be constrained to minimize the penetration resistance of the projectile and prevent Projectile instability and ballistic bending occur. [0003] A ...

AI Technical Summary

Problems solved by technology

Even if the missile satisfies the constraint of terminal ballistic inclination angle, if there is a large terminal angle of attack, when the missile collides with the target, it will easily cause the phenomenon of "ricochet" of the missile or the bending of the penetrating trajectory due to the asymmetrical impact force, thus weakening its penetration. Thorough ability

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