航空学报 > 1986, Vol. 7 Issue (3): 305-312

数字式飞行控制系统的最优离散设计

李利春   

  1. 飞行自动控制系统研究所
  • 收稿日期:1985-02-13 修回日期:1900-01-01 出版日期:1986-06-25 发布日期:1986-06-25

OPTIMAL DISCRETE DESIGN OF DIGITAL FLIGHT CONTROL SYSTEM

Li Lichun   

  1. Institute of Automatic Flight Control System
  • Received:1985-02-13 Revised:1900-01-01 Online:1986-06-25 Published:1986-06-25

摘要: 一、最优离散调节器设计原理 离散调节器问题从本质上说,是在采样周期(T)内使输入保持恒定的条件下,通过逐点求解而将一个连续型系统转换为离散型,并求出最优控制,致使系统在偏离参考状态时,按性能指标最小化条件恢复到参考状态。离散调节器设计由于没有采用近似的处理,因而是一种精确的方法。

Abstract: An engineering method of optimal discrete regulator design for digital flight control system is described. There are various existing methods available for calculating the transition matrix (T) and its integral. However, methods for calculating weighting matrix numerically in the presence of coupling between the state and control variables are not found. This paper presents an engineering method, with it, the continuous quadratic performance criterion can be simply transformed to a discrete version. The C* and D* criterion and some additional flying quality requirements are used for constituting the quadratic cost function and to precisely determine the value of elements of weighting matrix without repeated adjustment. An example using this method to synthesize the stability augmentation system and autopilot is given. Design results are satisfactory, and it shows that, for the longitudinal system, at slow sample rate, less than 10 samples per second, optimal control laws are still adequate to ensure a good system response; for the lateral-directional system, however, the system response is more sensitive to the change of sample rate, and system performance shall be degraded with sample rate slower than 10 samples per second. Under the condition of same performance criterion, the optimal control gains always increase with the sample rate.