@article { , title = {H\<inf\>∞\</inf\> observer design for uncertain nonlinear discrete-time systems with time-delay: LMI optimization approach}, abstract = {Copyright © 2014 John Wiley \& Sons, Ltd. We present a robust H∞ observer for a class of nonlinear discrete-time systems. The class under study includes an unknown time-varying delay limited by upper and lower bounds, as well as time-varying parametric uncertainties. We design a nonlinear H∞ observer, by using the upper and lower bounds of the delay, that guarantees asymptotic stability of the estimation error dynamics and is also robust against time-varying parametric uncertainties. The described problem is converted to a standard optimization problem, which can be solved in terms of linear matrix inequalities (LMIs). Then, we expand the problem to a multi-objective optimization problem in which the maximum admissible Lipschitz constant and the minimum disturbance attenuation level are the problem objectives. Finally, the proposed observer is illustrated with two examples.}, doi = {10.1002/rnc.3155}, eissn = {1099-1239}, issn = {1049-8923}, issue = {10}, journal = {International Journal of Robust and Nonlinear Control}, pages = {1514-1527}, publicationstatus = {Published}, publisher = {Wiley}, url = {https://uwe-repository.worktribe.com/output/831317}, volume = {25}, keyword = {Engineering Modelling and Simulation Research Group, discrete-time systems, robust H-infinity observer, nonlinear systems, delay systems, linear matrixinequalities}, year = {2015}, author = {Sayyaddelshad, Saleh and S. Delshad, Iman and Gustafsson, Thomas} }