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Robust <i>H</i><sub>∞</sub> Sliding Mode Controller Design of a Class of Time-Delayed Discrete Conic-Type Nonlinear Systems

作     者:He, Shuping Lyu, Weizhi Liu, Fei 

作者机构:Anhui Univ Key Lab Intelligent Comp & Signal Proc Minist Educ Hefei 230601 Peoples R China Anhui Univ Sch Elect Engn & Automat Hefei 230601 Peoples R China Anhui Univ Inst Phys Sci & Informat Technol Hefei 230601 Peoples R China Beijing Inst Technol Sch Automat Beijing 100081 Peoples R China Jiangnan Univ Minist Educ Key Lab Adv Proc Control Light Ind Wuxi 214122 Jiangsu Peoples R China Jiangnan Univ Inst Automat Wuxi 214122 Jiangsu Peoples R China 

出 版 物:《IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS》 (IEEE Trans. Syst. Man Cybern. Syst.)

年 卷 期:2021年第51卷第2期

页      面:885-892页

核心收录:

学科分类:0808[工学-电气工程] 08[工学] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术(可授工学、理学学位)] 

基  金:National Natural Science Foundation of China [61673001, 61573021] Foundation for Distinguished Young Scholars of Anhui Province [1608085J05] Key Support Program for University Outstanding Youth Talent of Anhui Province [gxydZD2017001] 

主  题:Conic-type nonlinear system discrete-time H-infinity control sliding mode control (SMC) time delays 

摘      要:This paper studies the H-infinity sliding mode control (SMC) problem for a class of discrete-time conictype nonlinear systems with time-delays and uncertainties. The nonlinear terms satisfy the conic-type constraint condition that lies in a know hyper-sphere with an uncertain center. By choosing a proper Lyapunov candidate, sufficient conditions are derived to ensure the asymptotic stability of the sliding mode dynamics while achieving a prescribed H-infinity disturbance attenuation level and finally converted into a minimization problem. The controller is constructed to guarantee the discrete-time reach condition and maintain the states on the prespecified sliding surface. A simulation result and a practical example related to the Chua s circuit are given at last to show the validity of our SMC strategy.

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