飞控系统的μ分析与μ综合的变尺度优化方法

针对工程设计结果的非唯一性,用结构奇异值分析对其进行鲁棒性评估,在达到品质要求的多组控制律或参数中进一步选出鲁棒性较强的设计,这相当于同时考虑性能品质和鲁棒性的一种多目标设计.此外,在其控制律不变的前提下,以结构奇异值为目标函数并加上适当的约束条件,对控制律中的几个主要参数用变尺度法或其它优化方法进行优化,以得到鲁棒性较好又适合工程实际的控制器.最后,以某型飞机横航向飞控系统为例进行仿真研究.

μ-Analysis and DFP Optimization Method of μ-Synthesis for Flight Control System

Because the result of the classical control system design is not unique,there are more than one result that satisfies the required performance.So a design result with good robust stability is selected by structured singular value analysis.This result could be regarded as a multi target design which considers both the required performance and the robustness.Furthermore,without changing the control law, the DFP optimization method with some necessarily restricted conditions is used to minimize the structure singular value of the system by optimizing some important parameters of the control law. Consequently,a controller which not only has good robustness but also is suitable to the engineering practices is available.Finally,the effectiveness of this method is illustrated by a numerical example of a flight control system.