Nonlinear integral sliding mode control for a second order nonlinear system
type: Item
instance of: scholarly article
title: Nonlinear integral sliding mode control for a second order nonlinear system
zbMATH Open document ID: 1326.93023
DOI: 10.1155/2015/218198
author: Xie Zheng
author: Xie Jian
author: Du Wenzheng
author: Cheng Hongjie
published in: Journal of Control Science and Engineering
publication date: 2015-11-19T00:00:00Z
review text: Summary: A Nonlinear Integral Sliding-Mode Control (NISMC) scheme is proposed for second order nonlinear systems. The new control scheme is characterized by a nonlinear integral sliding manifold which inherits the desired properties of the integral sliding manifold, such as robustness to system external disturbance. In particular, compared with four kinds of Sliding Mode Control (SMC), the proposed control scheme is able to provide better transient performances. Furthermore, the proposed scheme ensures the zero steady-state error in the presence of a constant disturbance or an asymptotically constant disturbance is proved by the Lyapunov stability theory and LaSalle's invariance principle. Finally, both the theoretical analysis and simulation examples demonstrate the validity of the proposed scheme.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C73
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 6511714
zbMATH Keywords: nonlinear integral sliding-mode control (NISMC)
zbMATH Keywords: second order nonlinear systems
zbMATH Keywords: robustness to external disturbance
zbMATH Keywords: zero steady-state error
zbMATH Keywords: Lyapunov stability theory
zbMATH Keywords: LaSalle's invariance principle
Wikidata QID: Q59112365
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/218198
OpenAlex ID: W2080005880
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description: scientific article; zbMATH DE number 6511714