平衡截断法与时间尺度法的降阶效能分析

发布时间：2018-03-03 06:35

本文选题：平衡截断　切入点：时间尺度　出处：《导弹与航天运载技术》2017年02期 　论文类型：期刊论文

【摘要】：为分析利用平衡截断法截断系统设计控制器的优势及局限,对比分析了在对系统降阶的过程中平衡截断法和时间尺度法在降阶维数的判断、截断状态的选择及截断后降阶系统频率响应方面的区别与联系。提出一种以降阶控制器控制原系统的效果来判断降阶系统对原系统的近似方法。利用平衡截断后系统与慢时间尺度系统分别设计降阶控制器。仿真结果表明,平衡截断法在截断系统状态过程中更为精细,对于加入控制后为改变其开环特性的系统,依据平衡截断法得到的降阶系统对原系统逼近效果比时间尺度法好;而对于反馈控制改变其开环特性的系统,平衡截断法不能敏感到系统特性的改变,近似效果比时间尺度法差。
[Abstract]:In order to analyze the advantages and limitations of using balanced truncation method to design the controller, the judgement of balanced truncation method and time scale method in reducing the order dimension of the system is compared and analyzed. The selection of truncation state and the difference and relation between the frequency response of reduced order system after truncation are presented. An approximate method for judging the reduced order system to the original system by using the effect of the reduced order controller to control the original system is presented. After balanced truncation, the approximate method for judging the reduced order system to the original system is presented. The reduced order controller is designed for the system and the slow time scale system respectively. The simulation results show that, The equilibrium truncation method is more precise in the state of the truncated system. The reduced order system obtained by the balanced truncation method is more effective than the time scale method in approaching the original system for changing the open-loop characteristic of the system after the addition of control. For the system with feedback control changing its open-loop characteristic, the equilibrium truncation method can not be sensitive to the change of the system characteristics, and the approximate effect is worse than that of the time scale method.
【作者单位】：北京航天自动控制研究所;北京宇航系统工程研究所;中国航天科技集团公司;
【分类号】：O231

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