Newton-series-based observer–predictor control for disturbed input-delayed discrete-time systems

This paper deals with the problem of predicting future state discrete-time input-delayed systems in presence unknown disturbances that can affect both and output equations plant. Since disturbance is unknown, computing an exact prediction plant states not possible. To circumvent this problem, we propose using a high-order extended Luenberger-type observer for states, disturbances, their finite difference variables, combined new equation based on Newton’s series from calculus differences. Detailed performance analysis carried out to show that, under certain assumptions, enhanced improved attenuation are achieved. Linear matrix inequalities (LMIs) employed design minimize errors. A stabilization procedure iterative algorithm also presented case where affected by time-varying uncertainties. Examples literature illustrate advantages scheme.