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Stability of sampled-data piecewise-affine systems under state feedback


Stability of sampled-data piecewise-affine systems under state feedback

Rodrigues, Luis (2007) Stability of sampled-data piecewise-affine systems under state feedback. Automatica, 43 (7). pp. 1249-1256. ISSN 00051098

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Official URL: http://dx.doi.org/10.1016/j.automatica.2006.12.016


This paper addresses stability of sampled-data piecewise-affine (PWA) systems consisting of a continuous-time plant and a discrete-time emulation of a continuous-time state feedback controller. The paper presents conditions under which the trajectories of the sampled-data closed-loop system will exponentially converge to a neighborhood of the origin. Moreover, the size of this neighborhood will be related to bounds on perturbation parameters related to the sampling procedure, in particular, related to the sampling period. Finally, it will be shown that when the sampling period converges to zero the performance of the stabilizing continuous-time PWA state feedback controller can be recovered by the emulated controller.

Divisions:Concordia University > Faculty of Engineering and Computer Science > Mechanical and Industrial Engineering
Item Type:Article
Authors:Rodrigues, Luis
Journal or Publication:Automatica
ID Code:974876
Deposited On:04 Oct 2012 19:59
Last Modified:04 Oct 2012 19:59
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