Discrete sliding mode control for time-varying delay systems: a multi-delay approach Online publication date: Sat, 27-Dec-2014
by Nizar Abdennabi; Majda Ltaief; Ahmed Said Nouri
International Journal of Modelling, Identification and Control (IJMIC), Vol. 22, No. 4, 2014
Abstract: Owing to its potential for real applications, many researchers have studied the problem of modelling and control of time-varying delay systems. In this paper, we propose a new strategy called multi-delay approach for modelling and control of these systems. In this new strategy, the time-varying delay systems are modelled by a multi-delay model representation in which each elementary model is characterised by a constant delay value varying between the lower and upper bounds of the delay term supposed to be known. A systematic elementary model reproducing the real output evolution is generated. Then, a discrete sliding mode control based on the multi-delay model representation (MD-DSMC) was developed to stabilise such systems. The proposed controller guarantees a finite time convergence of systems under consideration. The controller parameters are selected by solving linear matrix inequalities (LMIs). A comparative study with the classical discrete sliding mode control was also subject of this work.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Modelling, Identification and Control (IJMIC):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com
Our Blog 
Follow us on Twitter 
Visit us on Facebook