Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/83530
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Type: Journal article
Title: Sliding mode control for linear systems with time-varying input and state delays
Author: Xia, Y.
Yang, H.
Fu, M.
Shi, P.
Citation: Circuits, Systems and Signal Processing, 2011; 30(3):629-641
Publisher: Birkhauser Boston Inc
Issue Date: 2011
ISSN: 0278-081X
1531-5878
Statement of
Responsibility: 
Yuanqing Xia, Hongjiu Yang, Mengyin Fu, Peng Shi
Abstract: This paper deals with a sliding mode control for linear systems with input and state time-varying delays. Two different time delays are considered for the sliding mode control of a continuous linear system. Delay-dependent sufficient conditions are given for the existence of sliding manifolds in terms of linear matrix inequalities. A reaching motion controller is also proposed for such systems by means of both reaching law and inequality approach. An inverted pendulum system is utilized to illustrate the effectiveness of the developed techniques. © 2010 Springer Science+Business Media, LLC.
Keywords: Sliding mode control
Input-state delay
Delay-dependent stability
Linear matrix inequality
Rights: © Springer Science+Business Media, LLC 2010
DOI: 10.1007/s00034-010-9237-x
Published version: http://dx.doi.org/10.1007/s00034-010-9237-x
Appears in Collections:Aurora harvest 4
Electrical and Electronic Engineering publications

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