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Reseach Article
A New Sliding Surface for Discrete Second Order Sliding Mode Control for Time Delay Systems with Time Varying Uncertainties
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 52 - Number 21 |
| Year of Publication: 2012 |
| Authors: Abdennebi Nizar, Ahmed Said Nouri |
10.5120/8334-1857
|
Abdennebi Nizar, Ahmed Said Nouri . A New Sliding Surface for Discrete Second Order Sliding Mode Control for Time Delay Systems with Time Varying Uncertainties. International Journal of Computer Applications. 52, 21 ( August 2012), 16-22. DOI=10.5120/8334-1857
Abstract
In this work, a discrete second order sliding mode control with a new sliding function for a linear uncertain system with state delay is proposed. The systems are assumed to have structured mismatched time varying uncertainties. Firstly, a new sliding function include a present and a past value of the state, called dynamic surface, is designed by means of linear matrix inequalities (LMI). Then, a robust discrete second order sliding mode controller with this new function is investigated to overcome the effect of time delay and uncertainties in the closed loop. A numerical example illustrates the effectiveness and the advantages of the proposed approach.
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