飞行运动系统的鲁棒H∞模型降阶  

Model reduction for flying movement systems

作　　者：李艳辉[1] 李建华[1] 陈卓[2] 刘伟[1] 李红星[1] 

机构地区：[1]大庆石油学院电气信息工程学院,黑龙江大庆163318 [2]大庆石油管理局电力集团供电公司,黑龙江大庆163451

出　　处：《大庆石油学院学报》2008年第4期85-89,121,共6页Journal of Daqing Petroleum Institute

基　　金：黑龙江省自然科学基金(F200504);黑龙江省教育厅科学技术研究项目(10551013)

摘　　要：分析飞行运动系统的鲁棒H∞模型降阶问题,针对给定的飞行运动系统,假设其具有范数有界型不确定性,构造一个降阶模型使误差系统渐近稳定且具有H∞性能约束.首先推导出复杂不确定时滞系统的H∞性能准则;然后基于该性能准则和投影引理得到容许的降阶模型存在的充分条件.所得降阶模型存在的充分条件不是严格的线性矩阵不等式,引入锥补线性化方法求解该非凸可行性问题.仿真结果表明该模型降阶方法的有效性.This paper investigates the problem of model reduction for the flying movement systems. The attention is focused on the design of reduced-order model, which guarantees the error system to be asymptotically stable and has a prescribed performance constraint. The paper gives the performance criteria of flying movement systems with time-delay, and deduces sufficient condition of the existence of admissible reduce model. Then the sufficient condition is cast into a feasibility question with LMI constraints, which can be readily solved by the standard numerical software. We apply the proposed method to the flying movement systems, the efficiency of the proposed technique is demonstrated by a numerical example.

关 键 词：时滞系统 H∞模型降阶 不确定性 锥补线性化 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]