Robust global adaptive exponential stabilization of discrete-time systems with application to freeway traffic controlRobust global adaptive exponential stabilization of discrete-time systems with application to freeway traffic control Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2018-04-162017enThis paper is devoted to the development of adaptive control schemes for uncertain discrete-time systems, which guarantee robust global exponential convergence to the desired equilibrium point of the system. The proposed control scheme consists of a nominal feedback law, which achieves robust global exponential stability properties when the vector of the parameters is known, in conjunction with a nonlinear dead-beat observer. The proposed adaptive control scheme depends on certain parameter observability assumptions. The obtained results are applicable to highly nonlinear uncertain discrete-time systems with unknown constant parameters. The successful applicability of the obtained results to real control problems is demonstrated by the rigorous application of the proposed adaptive control scheme to uncertain freeway models. A provided example demonstrates the efficiency of the approach.The research leading to these results has received funding from the European Research Council under the European Union's Seventh Framework Programme (FP/2007-2013) / ERC Grant Agreement n. 321132, project TRAMAN21. http://creativecommons.org/licenses/by-nc-nd/4.0/IEEE Transactions on Automatic Control62126195-6208Karafyllis_et_al_IEEE Trans. Autom. Control_62(12)_2017.pdfChania [Greece]Library of TUC2018-04-16application/pdf1.4 MBfree Karafyllis, Iasson Kontorinaki Maria Κοντορινακη Μαρια Papageorgiou Markos Παπαγεωργιου Μαρκος Institute of Electrical and Electronics Engineers Traffic control Adaptation models Adaptive control Discrete-time systems Closed loop systems Convergence