Moezzi, Kaveh, Rodrigues, Luis and Aghdam, Amir G. (2009) Stability of uncertain piecewise affine systems with time delay: delay-dependent Lyapunov approach. International Journal of Control, 82 (8). pp. 1423-1434. ISSN 0020-7179
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Official URL: http://dx.doi.org/10.1080/00207170802443699
Abstract
This article addresses the problem of robust stability of piecewise affine (PWA) uncertain systems with unknown time-varying delay in the state. It is assumed that the uncertainty is norm bounded and that upper bounds on the state delay and its rate of change are available. A set of linear matrix inequalities (LMIs) is derived providing sufficient conditions for the stability of the system. These conditions depend on the upper bound of the delay. The main contributions of the article are as follows. First, new delay-dependent LMI conditions are derived for the stability of PWA time-delay systems. Second, the stability conditions are extended to the case of uncertain PWA time delay systems. Numerical examples are presented to show the effectiveness of the approach.
| Divisions: | Concordia University > Gina Cody School of Engineering and Computer Science > Electrical and Computer Engineering Concordia University > Gina Cody School of Engineering and Computer Science > Mechanical and Industrial Engineering |
|---|---|
| Item Type: | Article |
| Refereed: | Yes |
| Authors: | Moezzi, Kaveh and Rodrigues, Luis and Aghdam, Amir G. |
| Journal or Publication: | International Journal of Control |
| Date: | 2009 |
| Digital Object Identifier (DOI): | 10.1080/00207170802443699 |
| ID Code: | 974875 |
| Deposited By: | ANDREA MURRAY |
| Deposited On: | 04 Oct 2012 19:54 |
| Last Modified: | 18 Jan 2018 17:39 |
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