Format of Original
International Federation of Automatic Control
Proceedings of the The 18th World Congress of the International Federation of Automatic Control (IFAC)
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.
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.
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.