A Novel Variable Exponential Discrete Time Sliding Mode Reaching Law

被引：43
作者：
Chen, Xigang [1 ]
Li, Yangmin [1 ]
Ma, Haifeng [2 ]
Tang, Hui [3 ]
Xie, Yanlin [1 ]
机构：
[1] Hong Kong Polytech Univ, Dept Ind & Syst Engn, Hong Kong, Peoples R China
[2] Shandong Univ, Sch Mech Engn, Key Lab High Efficiency & Clean Mech Manufacture, Jinan 250061, Peoples R China
[3] Guangdong Univ Technol, Key Lab Precis Microelect Mfg Technol & Equipment, Minist Educ, Guangzhou 510006, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2021年 / 68卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Switches; Control systems; Circuits and systems; Manifolds; Sliding mode control; Perturbation methods; Mathematical model; Sliding mode control (SMC); uncertain systems; dynamic analysis; reaching law; quasi-sliding-mode domain;
D O I：
10.1109/TCSII.2021.3051904
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A new variable exponential discrete-time sliding mode control (DSMC) reaching law is proposed to suppress the chattering phenomenon and accelerate the reaching speed for the switching function. The variable exponential reaching law consists of two-phase different exponential term. The main effect of the first phase exponential reaching law is to reduce reaching steps. The second phase exponential reaching law can decrease the magnitude of quasi-sliding-mode domain (QSMD). Otherwise, the disturbance term is restrained by second order difference function which can also significantly diminish the range of QSMD. The reaching steps of the reaching law to converge to QSMD are derived from this new reaching law. Meanwhile, the dynamic analysis of the DSMC system based on new reaching law is presented. Finally, the mathematical simulations are conducted to preliminarily verify the results of theoretical analysis.
引用
收藏
页码：2518 / 2522
页数：5
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