文献类型：期刊文献

英文题名：Stability and Stabilization With Additive Freedom for Delayed Takagi-Sugeno Fuzzy Systems by Intermediary-Polynomial-Based Functions

作者：Li, Zhichen[1];Yan, Huaicheng[1,2];Zhang, Hao[3];Sun, Jun[4,5];Lam, Hak-Keung[6]

机构：[1]East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China;[2]Hubei Normal Univ, Coll Mechatron & Control Engn, Huangshi 435002, Hubei, Peoples R China;[3]Tongji Univ, Dept Control Sci & Engn, Shanghai 200092, Peoples R China;[4]Shanghai Key Lab Aerosp Intelligence Control Tech, Shanghai 201100, Peoples R China;[5]Shanghai Aerosp Control Technol Inst, Shanghai 201100, Peoples R China;[6]Kings Coll London, Dept Informat, London WC2R 2LS, England

年份：2020

卷号：28

期号：4

起止页码：692

外文期刊名：IEEE TRANSACTIONS ON FUZZY SYSTEMS

收录：;EI(收录号：20201508407530);WOS:【SCI-EXPANDED(收录号:WOS:000524497000008)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grant 61803159, Grant 61673178, and Grant 61773289, in part by Shanghai Chenguang Project under Grant 18CG31, in part by Shanghai Sailing Program under Grant 18YF1406400, in part by Shanghai Natural Science Foundation under Grant 18ZR1409600, Grant 17ZR1444700, and Grant 17ZR1445800, in part by China Postdoctoral Science Foundation under Grant 2018M032042, in part by the Fundamental Research Funds for the CentralUniversities underGrant 222201814040, in part by Shanghai Shuguang Project under Grant 16SG28 and Grant 18SG18, in part by the Program of Shanghai Academic Research Leader under Grant 19XD1421000 and Grant 16XD1421000, and in part by Shanghai International Science and Technology Cooperation Project under Grant 18510711100.

语种：英文

外文关键词：Stability criteria; Linear matrix inequalities; Fuzzy systems; Delays; Symmetric matrices; Numerical stability; Delayed Takagi-Sugeno (T-S) fuzzy systems; intermediary-polynomial-based functions (IPFs); stability; stabilization; variable parameter

摘要：This paper is devoted to the stability and stabilization for Takagi-Sugeno fuzzy systems with time-varying delays. First, an improved matrix inequality is presented to bound both strictly and nonstrictly proper rational functions, which is more general than the existing versions of reciprocally convex lemmas. Second, by suitable operations on parameter-dependent polynomial multiplied by state rate, a couple of novel intermediary-polynomial-based functions (IPFs) are developed in delay-product types. Benefitting from slack matrices of IPFs, a certain degree of flexibility is furnished. More importantly than that, by feat of adjustment of the variable parameter, the resulting conditions will be further endowed with additive freedom, which relaxes the feasible space in a distinctive manner. Third, by utilizing IPFs along with triple integrals, the stability criteria and the controller design approach are derived by some advanced integral inequalities. Resorting to elaborate construction of IPFs, the strengths of bounding techniques are sufficiently exploited, and the information on delay derivative is adequately reflected. Consequently, more desirable performances are achieved, while without excessive computational complexity. Finally, the effectiveness of the proposed methods is verified by numerical examples.