I. Karafyllis, M. Kontorinaki and M. Papageorgiou, "Nonlinear adaptive control scheme for discrete-time systems with application to freeway traffic flow networks," in 2016 European Control Conference, pp. 275-282. doi: 10.1109/ECC.2016.7810298
https://doi.org/10.1109/ECC.2016.7810298
This 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 proposedcontrol 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 obtained results are applicable to highly nonlinear, uncertain, discrete-time systems with unknown constant parameters. The 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 demonstratessome features of the approach.