文献类型：期刊文献

英文题名：Improved inequality-based functions approach for stability analysis of time delay system

作者：Li, Zhichen[1];Yan, Huaicheng[1,3];Zhang, Hao[2];Zhan, Xisheng[3];Huang, Congzhi[4]

机构：[1]East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China;[2]Tongji Univ, Dept Control Sci & Engn, Shanghai 200092, Peoples R China;[3]Hubei Normal Univ, Coll Mechatron & Control Engn, Huangshi 435002, Hubei, Peoples R China;[4]North China Elect Power Univ, Sch Control & Comp Engn, Beijing 102206, Peoples R China

年份：2019

卷号：108

外文期刊名：AUTOMATICA

收录：;EI(收录号：20192907185093);WOS:【SCI-EXPANDED(收录号:WOS:000483631400013)】；

基金：This work is supported National Natural Science Foundation of China (61803159, 61673178, 61773289, 61622302), Shanghai Chenguang Project (18CG31), Shanghai Sailing Program (18YF1406400), Shanghai Natural Science Foundation (18ZR1409600, 17ZR1444700, 17ZR1445800), China Postdoctoral Science Foundation (2018M032042), Fundamental Research Funds for the Central Universities (222201814040, 2019JG004), Shanghai International Science and Technology Cooperation Project (18510711100), Shanghai Shuguang Project (165G28, 18SG18), Program of Shanghai Academic Research Leader (19XD1421000), and Programme of Introducing Talents of Discipline to Universities (the 111 Project)(B17017).

语种：英文

外文关键词：Time-varying delay; Stability analysis; Slack variables; Delay-product terms; Inequality-based functions

摘要：This paper focuses on stability analysis for time delay system. By introducing appropriate intermediate polynomial, a new slack variable-dependent inequality involving double integrals of system state is constructed. Then, some novel delay-product types of inequality-based functions (IBFs) with respect to delay range are developed to exploit additional degrees of freedom and more system information, while avoiding superfluous matrices. By virtue of the suggested IBFs, an improved stability criterion is derived, in which the potential capacities of advanced bounding technique are adequately explored and the information on both delay and its derivative is sufficiently reflected. As a result, more desirable performance with admissible computational complexity is achieved by the proposed approach, which is demonstrated by the numerical examples. (C) 2019 Published by Elsevier Ltd.