Linear pseudo spectrum distribution control guidance method with fall angle constraint

Abstract

The invention discloses a linear pseudo spectrum distribution control guidance method with fall angle constraint. The method comprises the steps that firstly, a set of weight sums of standard basis functions with undetermined coefficients are used for expressing control variables; then, through an Eulerian method, a system state equation is subjected to linear processing to obtain a linear optimalcontrol problem; and a Gaussian pseudo spectrum method and a model prediction control theory are used for converting the linear optimal control problem into solution of a system of linear equations so as to obtain a corrected control quantity meeting the fall angle constraint. The linear pseudo spectrum distribution control guidance method with the fall angle constraint can meet the off-target quantity and terminal fall angle constraint, and energy control in flight process is optimized. According to the method, solution is performed based on a linear pseudo spectrum distribution control guidance law, the same calculation precision is guaranteed, higher calculation efficiency is achieved, and more convenience is provided for online application. According to the method, the control requirement is diffused into the overall surplus flight time, a smooth function is selected as a basis function of the control variables, the more smooth acceleration is guaranteed, and the method is betterbeneficial to execution of a missile autopilot.

Description

technical field [0001] The invention relates to a linear pseudo-spectral spread control (Linear Pseudo-spectral Model Predictive Spread Control, LPMPSC) guidance method with fall angle constraints, belonging to the fields of aerospace technology, weapon technology, and guidance control. Background technique [0002] The goal of the fall angle constrained guidance law is to obtain an ideal fall angle, which will significantly improve the damage capability of the missile directly hitting the target or its warhead. As such, it has attracted a great deal of attention in modern warfare in recent decades. Different battle scenes have different requirements for corners. For anti-tank or anti-ship missiles, since the top of a tank or ship is usually relatively weak, it is best to attack from the top. For an ABM, the relative velocity between the ballistic missile target and the interceptor is very large, and the interceptor no longer has a speed advantage over the ballistic missil...

AI Technical Summary

Problems solved by technology

However, these guidance laws are based on the theoretical assumptions of classical proportional guidance laws, they cannot provide optimal guidance instructions, and there are many inherent shortcomings, such as acceleration instructions surge at the end of the engagement, no trajectory shaping capabilities, etc.

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