Stability and stabilization of aperiodic sampled-data control systems using robust linear matrix inequalities

作     者：Oishi, Yasuaki Fujioka, Hisaya 

作者机构：Nanzan Univ Dept Syst Design & Engn Seto 4890863 Japan Kyoto Univ Grad Sch Informat Kyoto 6068501 Japan 

出 版 物：《AUTOMATICA》 (自动学)

年 卷 期：2010年第46卷第8期

页      面：1327-1333页

核心收录：

学科分类：0711[理学-系统科学] 0808[工学-电气工程] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学] 071101[理学-系统理论] 

基　　金：Japan Society for the Promotion of Science Nanzan University 

主　　题：Sampled-data control Robust linear matrix inequality Conservatism Asymptotic exactness Semidefinite programming Adaptive division 

摘      要：Stability analysis of an aperiodic sampled-data control system is considered for application to networked and embedded control. The stability condition is described in a linear matrix inequality to be satisfied for all possible sampling intervals. Although this condition is numerically intractable, a tractable sufficient condition can be constructed with the mean value theorem. Special attention is paid to tightness of the sufficient condition for less conservative stability analysis. A region-dividing technique for the reduction of conservatism and generalization to stabilization are also discussed. An example demonstrates the efficacy of the approach. (C) 2010 Elsevier Ltd. All rights reserved.