考虑一阶环节和法向约束的最优导引律

前言 目前关于最优导引律的文献中,除文献讨论了将导引对象视为具有瞬时响应特性的质点,考虑了控制的法向约束而外,其他均未考虑控制的约束问题。为了大幅度地提高导引精度,在建立“导引对象--目标”的数学模型时,就必须考虑导引对象的动态响应。

OPTIMAL GUIDANCE LAW WITH FIRST ORDER LAG LOOP AND NORMAL CONSTRAINT

An optimal guidance law based on the maximum principle is discussed in this paper. It is assumed that the kinetic characteristics of "vehicle-target"are that of a first order lag loop which can be described as follows:the performance index is the minimum control energy consumptionthe terminal states belong to a intecept curved surface with control cutoff and the terminal acceleration of the vehicle equals zero:the control force satisfies the normal constraint:Based on these assumptions, an analytical form of the closed loop optimal intercept guidance law has been deduced.