凸多面体不确定线性系统的新的参数依赖有界实引理  

New Parameter-dependent Bounded Real Lemma for Linear Systems with Polytopic Uncertainties

作　　者：胡军[1] 陈东彦[1] 赵岩峰[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2010年第4期49-54,共6页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金(10771047);黑龙江省教育厅海外学人项目(1152hq09)

摘　　要：研究了凸多面体不确定线性系统的鲁棒H∞性能问题,通过提高参数依赖线性矩阵不等式关于不确定参数的阶次,给出了线性矩阵不等式描述的鲁棒H∞性能准则,并进一步给出针对不同阶次的线性矩阵不等式表示,比较分析说明了随着阶次的增大,判别条件的保守性逐渐减少.The problem of robust H∞ performance of linear systems with convex polytopic uncertainties is investigated in this paper.By improving the degree of parameter-dependent linear matrix inequality with dependence on the uncertain parameters,the linear matrix inequality（LMI） representations of robust H∞ performance criteria are given.In addition,the linear matrix inequality representations for different degrees are presented.Comparison analysis shows that the conservativeness of the presented conditions decreases with the increase of the degrees.

关 键 词：不确定线性系统 参数依赖LYAPUNOV函数 鲁棒H∞性能 线性矩阵不等式 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]