平衡截断法在降阶控制器设计中的应用  

Application of Balanced Truncation in Design of Reduced-order Controller

作　　者：刘文东[1] 李华滨 Liu Wendong Li Huabin(Beijing Aerospace Automatic Control Institute, Beijing 100854, China Beijing Institute of Aerospace Systems Engineering, Beijing 100076, China)

机构地区：[1]北京航天自动控制研究所,北京100854 [2]北京宇航系统工程研究所,北京100076

出　　处：《战术导弹技术》2017年第3期79-84,共6页Tactical Missile Technology

摘　　要：为设计更加有效的降阶控制器,将平衡截断法引入到降阶控制器设计过程中。对比分析了传统降阶控制器设计与利用平衡截断法设计的降阶控制器在状态量选择与降阶系统结构上的区别。从降阶控制器控制原系统的控制性能指标的角度出发,对比了传统降阶控制器与利用平衡截断法设计的降阶控制器的控制效果。以导弹自动驾驶仪六阶模型为基础进行了仿真实验。结果表明,利用平衡截断法设计的降阶控制器与传统降阶控制器相比能够取得更好的控制效果,但平衡截断法不能敏感到性能指标权系数带来的降阶控制稳定性问题,因而在实际使用时需进行稳定性检验。To design a more effective reduced-order controller,balanced truncation method is introduced into the reduced-order controller design process. The differences between the reduced-order controller designed through traditional method and the reduced-order controller designed through balanced truncation method are demonstrated in states choosing and reduced-order system structure. From the point of view of control performance index when reduced-order controller is acted on the original system,the control effects are compared between the two reduced-order controllers. Based on the sixth-order model of the missile autopilot,the simulation results show that the reduced-order controller designed by the balanced truncation method can achieve better control effect than the traditional reduced-order controller. However,the balanced truncation method can not be sensitive to the stability of the reduced-order control problem caused by the weight coefficient of the performance index. Therefore,the stability test should be carried out in practice.

关 键 词：平衡截断 降阶系统 降阶控制器 

分 类 号：V448.2[航空宇航科学与技术—飞行器设计]