Finite Frequency Approaches to H∞ Model Reduction for Continuous-time State delayed Systems

摘要：

This paper discusses the H∞ model reduction problem for linear continuous-time systems with pure state delay. Di.erent from the conventional entire-frequency H∞ approximation performance speci.cation, .nite-frequency H∞ norm was adopted in this paper, which is a more suitable index to characterize the model reduction problems for systems with apriori known operating frequency range. Based on the recently developed TDS GKYP (time delay system Generalized Kalman- Yakubovich-Popov) lemma, su.cient conditions for the .nite frequency H∞ model reduction problems are derived and expressed in terms of solutions to a set of linear matrix inequalities (LMIs). Numerical example was included for illustration.

关键词： Index Terms梞odel reduction state delay .nite frequency LMI continuous-time

作者: Xin Du Fuwei Liu Xunlin Zhu Wang Chao

作者单位: School of MechatronicEngineering and Automation, Shanghai University, Shanghai, 200072,P. R. China Department of Mathematics, Zhengzhou University,Zhengzhou, Henan 450001, China School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, 200072, P. R. China

会议类型: 国际会议

会议名称: The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)

会议地点: 太原

会议语种:英文

页码: 470-475

在线出版日期: 2012-05-23（万方平台首次上网日期，不代表论文的发表时间）