飞机纵向模型参考自适应控制增稳系统的一种简捷设计方法

Concise Design of Aircraft Longitudinal Model Reference Adaptive Command Augmentation System

本文把Landau在自适应观测器中所用的“消去正实性条件”方法及其算法推广应用于单入单出离散时间模型参考自适应控制器。发现这种设计方法不仅可简化求解补偿器系数di的手续,而且还能降低算式的维数,减小计算量。仿真结果表明,这种系统跟踪模型的速度快,而且调试容易,也适用于降维设计,能对略去的低频模态具有一定的鲁棒性。

The main contribution of this paper is the establishment of a concisealgorithm for model reference adaptive control system by extending the conceptof 'elimination of real positivity condition' recommended by Landau [1]. Re-ference [1] was published in 1978, so we have conducted a careful search ofliterature from 1978 up to 1988, and found that there are only a few papers[2] [3] [4] [5] which extend Landau's principle to discrete-time or continuous-time parameter identifiers. Thus we believe that our paper first extends hisprinciple to adaptive controller. With the aid of our design procedure, not only the determination of thecompensator coefficients becomes significantly simpler, but also the dimensionof the algorithm can be considerably reduced so that the computation timeevidently decreases. The proposed algorithm is applied to an adaptive longitu-dinal command augmentation system; simulation results show that the tuningprocedure is rather easy. Furthermore, the system is also robust for unmodeledlong period mode.