基于有限时间性能指标的末制导系统导引律设计

FINITE-TIME PERFORMANCE INDEX-BASED GUIDANCE LAW DESIGN FOR A TERMINAL GUIDANCE SYSTEM

文章研究了末制导控制系统的导引律设计问题.首先,将末制导系统描述为一个具有非零初始条件及有界外部扰动的有限时间线性时变系统.然后,提出了一种评价线性时变系统在终端时刻性能的有限时间性能指标,并给出了基于该指标的状态反馈和输出反馈控制设计方法.接着,将所提控制设计方法应用于末制导控制系统,得到了一种能够获得更小脱靶量的导引律.最后,通过仿真说明了所提控制设计方法的有效性.

In this manuscript, we investigate the guidance law design problem of a terminal guidance control system. We first establish a linear time-varying system model with non-zero initial conditions and bounded external disturbance in a finitetime horizon to describe the terminal guidance system. Then, we propose a finite-time performance index to evaluate the performance at the end time of the linear finite- time time-varying system. Both the state feedback and the output feedback control design approach are derived. The proposed control design approach is applied to a terminal guidance control system. A guidance control law is developed by which the smaller miss distance can be achieved. Simulations are provided to illustrate the effectiveness of the proposed control design approach.