SUBOPTIMAL GUARANTEED COST CONTROL OF UNCERTAIN 2D DISCRETE-TIME SYSTEMS WITH MULTIPLICATIVE STOCHASTIC NOISES

DOI: 10.18173/2354-1059.2023-0016

Abstract

The problem of guaranteed cost control in this paper for a class of two-dimensional (2D) systems is described by the Roesser model with multiplicative stochastic noises. A convex optimization problem with linear matrix inequality constraints is formulated to show the guaranteed cost controller which minimizes the guaranteed cost of the closed-loop uncertain systems.