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Finite-time state-feedback stabilization is addressed for a class of discrete-time nonlinear systems with conic-type nonlinearities, bounded feedback control gain perturbations, and additive disturbances. First, 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 and the maximum allowable bound on the gain perturbation is obtained. The developed controller is robust for all unknown nonlinearities lying in a known hypersphere with an uncertain center 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. The paper is concluded with a numerical example showcasing the applicability of the main result.
ElBsat, Mohammad N. and Yaz, Edwin E., "Robust and Resilient Finite-time Bounded Control of Discrete-time Uncertain Nonlinear Systems" (2013). Electrical and Computer Engineering Faculty Research and Publications. 29.
ADA accessible version
Accepted version. Automatica, Vol. 49, No. 7 (July 2013): 2292-2296. DOI. © 2013 Elsevier Ltd. Used with permission.