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多约束条件下反临近空间目标中制导律设计

Research on Midcourse Guidance Law Design with Multiple Constraints For Near Space Target Interception

【作者】 肖刚

【导师】 周荻;

【作者基本信息】 哈尔滨工业大学 , 控制工程, 2015, 硕士

【摘要】 为了有效地拦截临近空间中的目标,本文对拦截器的中末制导交班时刻的状态提出了多种约束条件,包括视线与弹体纵轴夹角的约束条件、导弹高度约束条件和速度的约束条件。其主要工作内容如下:首先,为了精确地描述导弹和目标的相对位置和相对运动状态,需要建立相应的坐标系,并且推导各个坐标系之间的变换矩阵。建立导弹和目标的动力学和运动学方程,即建立相应的数学模型。其次,针对本文提出的导弹中末制导交班时刻状态的多种约束条件,设计相应的制导律来满足条件。研究内容分别如下:将视线与弹体纵轴夹角约束条件、导弹高度约束条件和导弹速度的约束条件这三个约束条件在导弹纵向平面内进行分析,将对这三个量的约束问题转化为对姿态角和视线角的约束问题。然后,考虑到导弹模型和参数的不确定性,应用滑模变结构理论设计中制导律,选取合适的滑模切换函数和趋近律,实现对于控制系统动态品质的控制。同时,我们证明了该滑模制导律的有限时间收敛,保证了该制导的稳定性。最后,对于设计的滑模变结构中制导律,分别在近距离、中距离和远距离三条弹道下对该制导律进行了仿真分析,仿真结果表明本文设计的制导律在精确拦截目标的前提下,满足了对应的中末制导交班时刻状态的多约束条件。

【Abstract】 In order to intercept near space target efficiently,this article presents a variety of constraints of missiles’ status when the missiles is switch from midcourse guidance to terminal guidance,including the angle between the line of sight and the body of missiles,missile’s altitude and velocity.Its main contents are as follows:First, in order to accurately describe the relative position and relative motion of the missile and the target, we need to establish corresponding coordinate system and the transformation matrix between this coordinate systems. Then, we set up equations of dynamic and kinematics for missile and target. Finally, we set up their mathematical model.Secondly, we design the appropriate guidance law to meet these conditions of missile’ state. Contents of this article are as follows: we analyze these constraints and transform them into the constraints of missiles’ angle of attitude and sight. Then,taking the uncertainty of the missile’s model and parameters into account, we use Variable Structure Control Theory to design midcourse guidance law. Select the appropriate sliding function to realize the control of angle of sight. At the same time, we prove that the midcourse guidance law have a characteristics of limited time convergence. It ensure the stability of the guidance law.Finally, we use MTLAB to simulate the midcourse guidance law under three trajectory, which is close-range, mid-range and long-range. The simulation results show that the midcourse guidance law can meet the multiple constraints we proposed.

  • 【分类号】TJ765
  • 【下载频次】381
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