Optimal guaranteed cost control of uncertain 2D discrete systems with both shift delays and input delays via memory state feedback

Abstract

The problem of optimal guaranteed cost control for a class of 2D discrete uncertain systems under shift delays and input delays in a Fornasini–Marchesini (FM) second model setting via memory state feedback is considered in this paper. A linear matrix inequality (LMI)-based criterion for the existence of guaranteed cost controllers is established. Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controllers that minimize the upper bound of the closed-loop cost function. Illustrative examples are given to demonstrate the applicability of the proposed method.