Nonsingular terminal sliding mode control of uncertain second-order nonlinear systems
type: Item
instance of: scholarly article
title: Nonsingular terminal sliding mode control of uncertain second-order nonlinear systems
zbMATH Open document ID: 1394.93098
DOI: 10.1155/2015/181737
author: Minh-Duc Tran
author: Hee-Jun Kang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper presents a high-performance nonsingular terminal sliding mode control method for uncertain second-order nonlinear systems. First, a nonsingular terminal sliding mode surface is introduced to eliminate the singularity problem that exists in conventional terminal sliding mode control. By using this method, the system not only can guarantee that the tracking errors reach the reference value in a finite time with high-precision tracking performance but also can overcome the complex-value and the restrictions of the exponent (the exponent should be fractional number with an odd numerator and an odd denominator) in traditional terminal sliding mode. Then, in order to eliminate the chattering phenomenon, a super-twisting higher-order nonsingular terminal sliding mode control method is proposed. The stability of the closed-loop system is established using the Lyapunov theory. Finally, simulation results are presented to illustrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93B12
zbMATH DE Number: 6925686
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/181737
OpenAlex ID: W1919829389
cites work: Q4692549
cites work: Fuzzy Control and Identification
cites work: Radial Basis Function (RBF) Neural Network Control for Mechanical Systems
cites work: Variable structure systems with sliding modes
cites work: Control of Nonlinear Systems Using Terminal Sliding Modes
cites work: A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators
cites work: Terminal sliding mode control design for uncertain dynamic systems
cites work: Fast terminal sliding-mode control design for nonlinear dynamical systems
cites work: Nonsingular fast terminal sliding-mode control for nonlinear dynamical systems
cites work: Non-singular terminal sliding mode control of rigid manipulators
cites work: MIMO adaptive fuzzy terminal sliding-mode controller for robotic manipulators
cites work: Q4003793
cites work: Adaptive gain fuzzy sliding mode control for the synchronization of nonlinear chaotic gyros
cites work: Second-order sliding-mode observer for mechanical systems
cites work: Continuous finite-time control for robotic manipulators with terminal sliding mode
Wikidata QID: Q59117509
description: scientific article; zbMATH DE number 6925686