TY - JOUR
T1 - Design of discrete-time sliding mode control with disturbance compensator-based switching function
AU - Ma, Haifeng
AU - Xiong, Zhenhua
AU - Li, Yangmin
AU - Liu, Zhanqiang
N1 - Funding Information:
Manuscript received July 1, 2020; revised August 18, 2020; accepted September 13, 2020. Date of publication September 18, 2020; date of current version March 26, 2021. This work was supported in part by the National Science Foundation of China under Grant 51805327 and Grant 51805325; in part by the Key Laboratory of High-Efficiency and Clean Mechanical Manufacture at Shandong University, Ministry of Education; and in part by the Project for Scientific Research Innovation Team of Young Scholar in Colleges and Universities of Shandong Province under Grant 2020KJB001. This brief was recommended by Associate Editor Y. Qin. (Corresponding author: Haifeng Ma.) Haifeng Ma and Zhanqiang Liu are with the Key Laboratory of High-Efficiency and Clean Mechanical Manufacture (Ministry of Education)/National Demonstration Center for Experimental Mechanical Engineering Education, School of Mechanical Engineering, Shandong University, Jinan 250061, China (e-mail: [email protected]; [email protected]).
Publisher Copyright:
© 2004-2012 IEEE.
PY - 2021/4
Y1 - 2021/4
N2 - In this brief, a new disturbance compensator based switching function is proposed for disturbed discrete-time systems. A sliding mode controller is developed based on this switching function. A high order disturbance compensator is embedded in the new switching function to achieve accurate disturbance rejection. Rigorous analysis on system dynamics of the corresponding closed-loop system is performed where it is shown that the proposed switching function is invariant to disturbances and has the ability to achieve the ideal quasi-sliding mode (QSM). In other words, the proposed method enables the convergence of the system trajectory and keeps it on the sliding surface independent of disturbances, which is rarely achieved in the discrete-time sliding mode control (DSMC). Moreover, the presented method is capable of delivering a O (hn) control accuracy of the system states, which is much higher than most previous methods. Simulation results on a MAGnetic LEViation system illustrate the main characteristics and performance of the proposed method.
AB - In this brief, a new disturbance compensator based switching function is proposed for disturbed discrete-time systems. A sliding mode controller is developed based on this switching function. A high order disturbance compensator is embedded in the new switching function to achieve accurate disturbance rejection. Rigorous analysis on system dynamics of the corresponding closed-loop system is performed where it is shown that the proposed switching function is invariant to disturbances and has the ability to achieve the ideal quasi-sliding mode (QSM). In other words, the proposed method enables the convergence of the system trajectory and keeps it on the sliding surface independent of disturbances, which is rarely achieved in the discrete-time sliding mode control (DSMC). Moreover, the presented method is capable of delivering a O (hn) control accuracy of the system states, which is much higher than most previous methods. Simulation results on a MAGnetic LEViation system illustrate the main characteristics and performance of the proposed method.
KW - Discrete-time sliding mode control (DSMC)
KW - Disturbance compensator
KW - Quasi-sliding mode
KW - Switching function
UR - http://www.scopus.com/inward/record.url?scp=85103438087&partnerID=8YFLogxK
U2 - 10.1109/TCSII.2020.3024909
DO - 10.1109/TCSII.2020.3024909
M3 - Journal article
AN - SCOPUS:85103438087
SN - 1549-7747
VL - 68
SP - 1268
EP - 1272
JO - IEEE Transactions on Circuits and Systems II: Express Briefs
JF - IEEE Transactions on Circuits and Systems II: Express Briefs
IS - 4
M1 - 9200761
ER -