飞机运动系统的区间模型及鲁棒飞行控制

提出了阵风干扰下飞机运动的区间系统模型，基于Ｒｉｃｃａｔｉ方程方法，研究了干扰对区间控制系统的二镒性能指标影响的鲁棒控制问题。通过解一个代数Ｒｉｃｃａｔｉ不等式方程给出了该问题的一个解。将该方法应用于某些飞机的鲁棒飞行控制器的设计，说明本的方法是有效的。

Interval System Model of Flight Kinematics System and Robust Flight Control

Flight kinematics system is a high order nonlinear system. At certain height and Mach number, this system is often approximated to a linear time invariant system in engineering. But such an approximated linear system is valid only in a small vicinity of the working point. In this paper, we first presented an interval system model (eq.1) for describing the nonlinear kinematics system with disturbances in a broader domain. Then by using the Riccati equation approach, we designed a robust controller (eqs.9 and 16) to make the interval system satisfy the quadratic performance index (eq.10). Finally we took a certain aircraft as an example, whose model can be described by eqs.(1), (22) and (23). When the perturbations of parameters exceed 30%, the obtained robust controller is still valid.