飞行器控制系统的高精度计算方法

A High-precision Computational Method for an Aircraft Control System

对于连续时间线性二次最优控制问题，在动力学方程和价值泛函的基础上，给出其全状态下的微分方程，进而将精细时程积分法引入上述问题。其优点为，放弃了传统的差分算法，使计算过程既简便又稳定；避免了Riccati代数方程的求解；具有非常高的计算精度。通过对某飞行器控制系统的计算，充分说明了上述特色。

For the continuous-time linear quadratic optimal control problem, the differential equations in the total state space are given on the basis of the dynamic equation and the cost functional, then a precise time integration algorithm is introduced into the above problem. It has the advantages of abandonning the traditional differential algorithm, making the computation precedure brief and stable; avoiding to solve Riccati equation; and very high computational precision. The numerical example for an aircraft control system fully shows the above characteristics.