Finite Frequency Approaches to H∞ Model Reduction for Continuous-time State delayed Systems
会议名称：《第24届中国控制与决策会议》
会议日期：2012年
学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程]
基 金：supported Science Research Foundation for Training Excellent Young Teachers in Shanghai Universities (B37-0109-10-008) Shanghai University Innovation Foundation (Grant No. A.10-0109-10-014) the Fundamental Research Funds for the Central Universities (No. N100404023) China Postdoctoral Science Foundation(Nos. 2009045127 and 201003624) New Century Excellent Talents in University￡No. NCET-11-0083) A Foundation for the Author of National Excellent Doctoral Dissertation of PR China (No. 201157) the Funds of National Science of China (Grant No. 61174085,61104089) the Funds of PhD program of MOE, China (Grant No. 20060145019) the 111 Project(B08015)
关 键 词：model reduction state delay finite frequency LMI continuous-time
摘 要：This paper discusses the H∞ model reduction problem for linear continuous-time systems with pure state delay. Different from the conventional entire-frequency H∞ approximation performance specification, finite-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, sufficient conditions for the finite 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.