Controling a planar temperature grid

Abstract

Abstract
This paper presents the design of multivariable controllers, one distributed and another centralized, for a planar temperature grid. The objective is to keep a constant temperature surface on the grid. Herein, we present the modeling of the system by using step tests. Also, we present the modeling of the system with parametric uncertainties in time constants. To analyze the system model, we use the singular values decomposition and the relative gain array. Two control strategies are applied to the system, an H∞ controller and a multivariable PID. The planar temperature grid is useful for showing an ill-conditioned system, which needs complex analysis.