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Sliding mode control for uncertain neutral system with time‐delays

Qu Shao‐cheng (Department of Information and Technology, Huazhong Normal University, Wuhan, China)
Gong mei‐jing (Department of Information and Technology, Huazhong Normal University, Wuhan, China)
Wang yong‐ji (Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China)

Kybernetes

ISSN: 0368-492X

Article publication date: 10 April 2009

236

Abstract

Purpose

The purpose of this paper is to find an appropriate sliding mode control strategy for neutral systems with time‐delays in the presence of unmatched parameter uncertainties and external disturbance.

Design/methodology/approach

Owing to the complexity of uncertain neutral time‐delay systems, some conclusions for system stability and stabilization are complicated non‐linear matrix inequality (NLMI). Through virtual state feedback control, a sliding mode controller is designed to guarantee state trajectories from any initial condition are attracted to the sliding mode plane in a finite time and remain there for all subsequent time, which can avoid the complicated NLMI. Furthermore, a delay‐independent sufficient condition for the design of robust stable sliding mode plane is obtained in term of LMI.

Findings

The sliding mode controller for uncertain neutral time‐delay systems is designed and a delay‐independent sufficient condition for the design of robust stable sliding mode plane is obtained.

Research limitations/implications

The main limitations are that external disturbance must meet matched condition.

Practical implications

A useful control strategy for uncertain neutral systems with time‐delays.

Originality/value

The virtual state feedback control is designed so to avoid the complicated NLMI.

Keywords

Citation

Shao‐cheng, Q., mei‐jing, G. and yong‐ji, W. (2009), "Sliding mode control for uncertain neutral system with time‐delays", Kybernetes, Vol. 38 No. 3/4, pp. 448-456. https://doi.org/10.1108/03684920910944155

Publisher

:

Emerald Group Publishing Limited

Copyright © 2009, Emerald Group Publishing Limited

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