Research on Robust Stability of Multiloop Aeroservoelastic System
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摘要: 根据现代控制理论,对多输入-多输出气动伺服弹性系统的鲁棒稳定性进行研究.分别采用小增益原理和最小奇异值理论两种方法,对涉及飞行器互相耦合的横滚和偏航回路的控制系统进行分析,得出了气动伺服弹性系统抵抗建模误差、保持鲁棒稳定的范围.这两种方法都分别给出了稳定性判据,根据判据可以确定其鲁棒稳定性(或稳定裕度).作为系统扰动的表达形式,文中还对系统不确定性矩阵进行了描述.算例是在某ACT战斗机的计算模型上完成的,两种方法的计算结果取得了一致.Abstract: Research on a multiinput-multioutput(MIMO) aeroservoelastic (ASE) system was presented on the basis of modern control theory. The small gain theory and minimal singular value theory were applied to the control system which was equipped with the coupled roll and yaw loop. The stability scope of the aeroservoelastic system to resisted the model error was obtained. Both the methods gave the stability criteria respectively and according to the criteria the robust stability(or stability margin) could be defined. As an expression of turbulence the system uncertainty matrix was described. The above two methods result in the same result on the model of an ACT combat airplane.
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Key words:
- several variables /
- robustness /
- aeroelastic dynamics
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1. 赵长安, 王子才. 鲁棒控制系统. 北京:宇航出版社, 1991. 209~211 2. Michael G S, Alan J L, Gary L H. Feedback properties of multivariable systems:The role and use of the return difference matrix. IEEE Transaction on Automatic Control,1981,Ac-26(1):47~65 3. Mukhopadhyay V,Newsom J R. A multiloop system stability margin study using matrix singular values. J Guidance,1983,7(1) 4. 孙 卫, 邹丛青. 耦合的气动弹性系统鲁棒稳定裕度估算. 北京航空航天大学学报,1996,22(3):368~373 5. 黄圳圭, 金 梁. 鲁棒性控制判据及其应用. 航天控制,1986(2):32~40 6. 胡克定, 郑卫新. 线性多变量系统理论与设计. 南京:东南大学出版社, 1991
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