Document Type
Presentation
Language
eng
Format of Original
6 p.
Publication Date
9-2011
Publisher
International Federation of Automatic Control
Source Publication
Proceedings of the The 18th World Congress of the International Federation of Automatic Control (IFAC)
Source ISSN
1474-6670
Abstract
In this paper, we address the finite-time state-feedback stabilization of a class of discrete-time nonlinear systems with conic type nonlinearities, bounded feedback control gain perturbations, and additive disturbances. Sufficient conditions for the existence of a robust and resilient linear state feedback controller for this class of systems are derived. Then, using linear matrix inequality techniques, a solution for the controller gain is obtained. The developed controller is robust for all unknown nonlinearities lying in a hyper-sphere and all admissible disturbances. Moreover, it is resilient against any bounded perturbations that may alter the controller’s gain by at most a prescribed amount. We conclude the paper with a numerical example showcasing the applicability of the main result.
Recommended Citation
ElBsat, Mohammad N. and Yaz, Edwin E., "Robust and Resilient Finite-Time Control of a Class of Discrete-Time Nonlinear Systems" (2011). Electrical and Computer Engineering Faculty Research and Publications. 10.
https://epublications.marquette.edu/electric_fac/10
Comments
Published version. Published as part of the proceedings of the conference, The 18th World Congress of the International Federation of Automatic Control (IFAC), 2011: 6454-6459. © 2012 IFAC. This paper was originally published in IFAC-PapersOnLine, and is posted here with IFAC's permission for non-commercial purposes only. Publisher link.