Nonsingular fast terminal sliding mode control with extended state observer and tracking differentiator for uncertain nonlinear systems
type: Item
instance of: scholarly article
title: Nonsingular fast terminal sliding mode control with extended state observer and tracking differentiator for uncertain nonlinear systems
zbMATH Open document ID: 1407.93084
DOI: 10.1155/2014/639707
author: Zhenxin He
author: Chuntong Liu
author: Ying Zhan
author: Hongcai Li
author: Xianxiang Huang
author: Zhi-Li Zhang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A continuous nonsingular fast terminal sliding mode (NFTSM) control scheme with the extended state observer (ESO) and the tracking differentiator (TD) is proposed for second-order uncertain SISO nonlinear systems. The system's disturbances and states can be estimated by introducing the ESO, then the disturbances are compensated effectively, and the ideal transient process of the system can be arranged based on TD to provide the target tracking signal and its high-order derivatives. The proposed controller obtains finite-time convergence property and keeps good robustness of sliding mode control (SMC) for disturbances. Moreover, compared with conventional SMC, the proposed control law is continuous and no chattering phenomenon exists. The property of system stability is guaranteed by Lyapunov stability theory. The simulation results show that the proposed method can be employed to shorten the system reaching time, improve the system tracking precision, and suppress the system chattering and the input noise. The proposed control method is finally applied for the rotating control problem of theodolite servo system.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93C73
zbMATH DE Number: 7016920
Wikidata QID: Q59068502
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/639707
OpenAlex ID: W2074476396
cites work: Finite time integral sliding mode control of hypersonic vehicles
cites work: Adaptive attitude tracking control for rigid spacecraft with finite-time convergence
cites work: A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators
cites work: Comments on "A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators"
cites work: Non-singular terminal sliding mode control of rigid manipulators
cites work: Fast terminal sliding-mode control design for nonlinear dynamical systems
cites work: Tracking control of non-linear systems using sliding surfaces, with application to robot manipulators†
cites work: Composite disturbance-observer-based control and terminal sliding mode control for non-linear systems with disturbances
cites work: Composite disturbance-observer-based control and terminal sliding mode control for uncertain structural systems
cites work: Continuous nonsingular terminal sliding mode control for systems with mismatched disturbances
cites work: Active disturbance rejection control: methodology, applications and theoretical analysis
cites work: Recent developments in sliding mode control and active disturbance rejection control
description: scientific article; zbMATH DE number 7016920