Robust H∞ Sliding Mode Controller Design of a Class of Time-Delayed Discrete Conic-Type Nonlinear Systems

被引：83
作者：
He, Shuping [1 ,2 ,3 ]
Lyu, Weizhi [1 ,2 ,4 ]
Liu, Fei [5 ,6 ]
机构：
[1] Anhui Univ, Key Lab Intelligent Comp & Signal Proc, Minist Educ, Hefei 230601, Peoples R China
[2] Anhui Univ, Sch Elect Engn & Automat, Hefei 230601, Peoples R China
[3] Anhui Univ, Inst Phys Sci & Informat Technol, Hefei 230601, Peoples R China
[4] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China
[5] Jiangnan Univ, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Jiangsu, Peoples R China
[6] Jiangnan Univ, Inst Automat, Wuxi 214122, Jiangsu, Peoples R China
来源：
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2021年 / 51卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Conic-type nonlinear system; discrete-time; H-infinity control; sliding mode control (SMC); time delays;
D O I：
10.1109/TSMC.2018.2884491
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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.
引用
收藏
页码：885 / 892
页数：8
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