TY - JOUR
T1 - A novel variable exponential discrete time sliding mode reaching law
AU - Chen, Xigang
AU - Li, Yangmin
AU - Ma, Haifeng
AU - Tang, Hui
AU - Xie, Yanlin
N1 - Funding Information:
Manuscript received December 7, 2020; revised December 28, 2020; accepted December 31, 2020. Date of publication January 18, 2021; date of current version June 29, 2021. This work was supported in part by the National Natural Science Foundation of China under Grant 51575544, and in part by the General Research Fund (GRF) of the Research Grants Council (RGC) of Hong Kong, China, under Grant PolyU 152137/19E. This brief was recommended by Associate Editor S. Li. (Corresponding author: Yangmin Li) Xigang Chen, Yangmin Li, and Yanlin Xie are with the Department of Industrial and Systems Engineering, Hong Kong Polytechnic University, Hong Kong (e-mail: [email protected]; [email protected]; [email protected]).
Publisher Copyright:
© 2004-2012 IEEE.
PY - 2021/7
Y1 - 2021/7
N2 - 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.
AB - 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.
KW - Sliding mode control (SMC)
KW - dynamic analysis
KW - quasi-sliding-mode domain
KW - reaching law
KW - uncertain systems
UR - http://www.scopus.com/inward/record.url?scp=85099730558&partnerID=8YFLogxK
U2 - 10.1109/TCSII.2021.3051904
DO - 10.1109/TCSII.2021.3051904
M3 - Journal article
SN - 1549-7747
VL - 68
SP - 2518
EP - 2522
JO - IEEE Transactions on Circuits and Systems II: Express Briefs
JF - IEEE Transactions on Circuits and Systems II: Express Briefs
IS - 7
M1 - 9327492
ER -