Samadi, Behzad and Rodrigues, Luis (2009) A duality-based convex optimization approach to L2 -gain control of piecewise affine slab differential inclusions. Automatica, 45 (3). pp. 812-816. ISSN 00051098
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Official URL: http://dx.doi.org/10.1016/j.automatica.2008.10.032
Abstract
This paper introduces the dual parameter set of a piecewise affine (PWA) system. This is a key concept to enable a convex formulation of PWA controller synthesis for PWA slab differential inclusions using a new convex relaxation. Another important contribution of the paper is to present PWA L2-gain analysis and synthesis results for PWA systems whose output is also a PWA function of the state (as opposed to a piecewise-linear (PWL) function). Unlike other results existing in the literature, the sufficient LMI conditions in this paper are valid for synthesis, even when the PWA systems include sliding modes. A numerical example with sliding modes illustrates the new approach
| Divisions: | Concordia University > Gina Cody School of Engineering and Computer Science > Mechanical and Industrial Engineering |
|---|---|
| Item Type: | Article |
| Refereed: | Yes |
| Authors: | Samadi, Behzad and Rodrigues, Luis |
| Journal or Publication: | Automatica |
| Date: | 2009 |
| Digital Object Identifier (DOI): | 10.1016/j.automatica.2008.10.032 |
| ID Code: | 974871 |
| Deposited By: | ANDREA MURRAY |
| Deposited On: | 04 Oct 2012 19:28 |
| Last Modified: | 18 Jan 2018 17:39 |
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