Algoritmo Iterativo para Estabilização Robusta de Sistemas Discretos no Tempo com Atraso Variante

Abstract

This paper proposes a new approach for synthesizing state feedback controllers for discrete systems with polytopic uncertainties and variable state delay. Unlike traditional techniques in the literature, the proposed method does not employ classical linearization techniques based on variable changes, which may introduce some conservatism. Instead, the method works directly in the parameter space of the controller and the Lyapunov matrix. Synthesis conditions are solved using an iterative algorithm of local convergence, in which LMIs are solved at each iteration. Numerical experiments illustrate that the proposed formulation yields superior achievements in terms of the maximum admissible delay value compared to existing techniques in the literature, thus establishing a new design methodology for dealing with systems with variable delays in states and uncertainties in system matrices.