TY - JOUR
T1 - Implicit Discrete-Time Adaptive First-Order Sliding Mode Control with Predefined Convergence Time
AU - Xiong, Xiaogang
AU - Chen, Hua
AU - Lou, Yunjiang
AU - Liu, Zhichao
AU - Kamal, Shyam
AU - Yamamoto, Motoji
N1 - Publisher Copyright:
IEEE
PY - 2021
Y1 - 2021
N2 - This paper proposes an adaptive first-order sliding mode control (SMC) with a predefined convergence time in a digital framework. It is based on an implicit Euler discretization of the set-valued signum function in SMC and a time-dependent adaptive gain scheme. Two typical cases are discussed and their stability analysis is provided, simple affine systems with first-order SMC and LTI systems with equivalent control-based sliding mode control (ECB-SMC), both in the presence of unknown perturbations. Numerical simulations show that, compared with the conventional SMC, the proposed implicit discrete-time SMC guarantees the convergence of the states within any predefined arbitrary time.
AB - This paper proposes an adaptive first-order sliding mode control (SMC) with a predefined convergence time in a digital framework. It is based on an implicit Euler discretization of the set-valued signum function in SMC and a time-dependent adaptive gain scheme. Two typical cases are discussed and their stability analysis is provided, simple affine systems with first-order SMC and LTI systems with equivalent control-based sliding mode control (ECB-SMC), both in the presence of unknown perturbations. Numerical simulations show that, compared with the conventional SMC, the proposed implicit discrete-time SMC guarantees the convergence of the states within any predefined arbitrary time.
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U2 - 10.1109/TCSII.2021.3070435
DO - 10.1109/TCSII.2021.3070435
M3 - Article
AN - SCOPUS:85103772466
SN - 1549-7747
JO - IEEE Transactions on Circuits and Systems II: Express Briefs
JF - IEEE Transactions on Circuits and Systems II: Express Briefs
ER -