TY - JOUR
T1 - Implicit discrete-time terminal sliding mode control for second-order systems
AU - Xiong, Xiaogang
AU - Chu, Yinghao
AU - Udai, Arun Dayal
AU - Kamal, Shyam
AU - Jin, Shanhai
AU - Lou, Yunjiang
PY - 2021/7
Y1 - 2021/7
N2 - One of the main problems of terminal sliding mode control (TSMC) is the severe numerical chattering caused by its discretization during the discrete-time realization, which significantly deteriorates the control performances. This brief proposes two novel realization schemes for the second-order TSMC based on implicit Euler methods. The first one treats the TSMC as the first-order SMC by solving the nonlinear equation of sliding surface. The latter one treats the second-order TSMC as nested signum functions without solving the nonlinear equation. Both schemes reduce the magnitude of numerical chattering while the second one totally remove the numerical chattering after attaining on the discrete-time sliding surface. The proposed two novel realizations have higher control performances in term of smaller control errors of steady state. These advantages of the proposed schemes are demonstrated through a buck converter circuit system in the presence of model uncertainties by comparing to the conventional implementations of TSMC. © 2021 IEEE.
AB - One of the main problems of terminal sliding mode control (TSMC) is the severe numerical chattering caused by its discretization during the discrete-time realization, which significantly deteriorates the control performances. This brief proposes two novel realization schemes for the second-order TSMC based on implicit Euler methods. The first one treats the TSMC as the first-order SMC by solving the nonlinear equation of sliding surface. The latter one treats the second-order TSMC as nested signum functions without solving the nonlinear equation. Both schemes reduce the magnitude of numerical chattering while the second one totally remove the numerical chattering after attaining on the discrete-time sliding surface. The proposed two novel realizations have higher control performances in term of smaller control errors of steady state. These advantages of the proposed schemes are demonstrated through a buck converter circuit system in the presence of model uncertainties by comparing to the conventional implementations of TSMC. © 2021 IEEE.
KW - Chattering
KW - explicit Euler
KW - implicit discrete-time
KW - implicit Euler
KW - terminal sliding mode control
UR - http://www.scopus.com/inward/record.url?scp=85100465544&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85100465544&origin=recordpage
U2 - 10.1109/TCSII.2021.3053318
DO - 10.1109/TCSII.2021.3053318
M3 - RGC 21 - Publication in refereed journal
SN - 1549-7747
VL - 68
SP - 2508
EP - 2512
JO - IEEE Transactions on Circuits and Systems II: Express Briefs
JF - IEEE Transactions on Circuits and Systems II: Express Briefs
IS - 7
ER -