回差矩阵奇异值方法改进和MIMO系统稳定性分析  

Improvement of return difference matrix singular value method and stability analysis of MIMO system

作　　者：闫帅豪 钱瑞 魏明英[1,2] 郑勇斌 YAN Shuaihao;QIAN Rui;WEI Mingying;ZHENG Yongbin(Beijing Institute of Electronic System Engineering,Beijing 100854,China;Beijing Simulation Center,Beijing 100854,China)

机构地区：[1]北京电子工程总体研究所,北京100854 [2]北京仿真中心,北京100854

出　　处：《系统工程与电子技术》2024年第11期3874-3882,共9页Systems Engineering and Electronics

基　　金：国家自然科学基金(60831001);国防基金(9140A31010109HK0101)资助课题。

摘　　要：高速防空导弹大攻角飞行时,耦合现象严重,弹体的高动态响应特征进一步加剧通道耦合,因此研究通道耦合下的系统稳定性至关重要。本文提出一种双通道控制模式下,单通道断开、耦合通道视为内回路的传递函数矩阵,并引入回差阵奇异值法计算系统稳定裕度。通过仿真将传统奇异值法和基于传递函数矩阵的奇异值改进法计算出的稳定裕度、单通道稳定裕度、双通道断开的稳定裕度和基于通道耦合下的稳定裕度,结合系统的时域响应进行对比分析。结果表明,改进回差阵奇异值法计算结果更精确,通道耦合下的开环传递函数对系统稳定性描述更合理。The coupling phenomenon is serious when the high speed air defense missile flies at high angle of attack,and the high dynamic response characteristics of the missile body further aggravate the channel coupling,so it is very important to study the system stability under the channel coupling.In this paper,a transfer function matrix is proposed in the two-channel control mode,in which the single channel disconnected and coupled channels are regarded as internal loop,and the return difference matrix singular value method is introduced to calculate the stability margin.The stability margin calculated by the traditional singular value method and the improved singular value method based on the transfer function matrix,the stability margin of single channel,the stability margin of double channel disconnection and the stability margin based on channel coupling are compared and analyzed by combining the time-domain response of the system.The results show that the improved residual matrix singular value method can obtain more accurate results,and the open-loop transfer function under channel coupling is more reasonable to describe the stability of the system.

关 键 词：防空导弹 稳定裕度 回差阵最小奇异值 开环传递函数 

分 类 号：V448.2[航空宇航科学与技术—飞行器设计]