Regulador Robusto Recursivo para Sistemas Politópicos de Tempo-Discreto com Atraso nos Estados

Abstract

This paper deals with recursive robust regulator problem for polytopic discrete- time systems with state delay. We assume all matrices of the system are subject to polytopic uncertainties. Based on the augmented approach, the delay system is converted to an augmented delay-free polytopic linear system. The state-feedback control is then obtained by the convex optimization problem in which the polytope vertices are weighted altogether. The provided solution is given in terms of augmented Riccati equations presented through a symmetric matrix arrangement. With a numerical example, we evaluate the proposed control and compare its performance with other control approaches.