多回路气动伺服弹性系统稳定裕度的变结构μ分析方法  

Variable-structure μ synthesis method for stability margin of multiloop aeroservoelastic system

作　　者：刘祥[1] 孙秦[1] 

机构地区：[1]西北工业大学航空学院,西安710072

出　　处：《航空学报》2017年第4期35-43,共9页Acta Aeronautica et Astronautica Sinica

摘　　要：作为一个多输入多输出(MIMO)系统,气动伺服弹性系统的各控制回路是相互耦合的,但对于各控制回路的稳定裕度目前尚无统一的计算方法。针对MIMO控制系统的稳定裕度计算问题,首先分析了现有的回差阵奇异值方法和μ分析方法,并指出了2种方法各自保守性的来源。在此基础上,提出了一种变结构μ分析方法,通过迭代调整扰动模型结构来求解稳定裕度,并从理论上证明了算法的单调收敛特性。以某弹性飞机的阵风减缓控制系统为例进行了稳定裕度分析。3种方法结果的对比表明,本文方法能够有效降低分析结果的保守性。Aeroservoelastic system is a multi-input-multi-output（MIMO）system with its control loops coupled with each other,while currently there is no unified theory in regard to the stability margin of the control loops.This paper addresses this problem by first analyzing the existing return difference matrix method and theμsynthesis method,and then proposing a new method to reduce the conservativeness during analysis.This new method,called the variable-structureμsynthesis method,solves the stability margin through adjusting the perturbation model in several iterations and is proved to have fast convergence property.Finally,different methods are used to calculate the stability margins of the gust alleviation system of a flexible aircraft,and the results show that the proposed approach is less conservative compared with the existing methods.

关 键 词：气动伺服弹性 多输入多输出系统 耦合 稳定裕度 变结构μ分析 

分 类 号：V249.1[航空宇航科学与技术—飞行器设计]