On exact feedback linearization of HVAC systems

Abstract

In this paper, we discuss the possible applications of algebraic framework, based on the theory of differential one-forms, to analysis of the real-life processes. The possibilities of this approach are illustrated on two common Heating, Ventilating, and Air Conditioning (HVAC) models. Algebraic formalism provides a unified framework to handle various problems for nonlinear control systems. It is briefly explained how to check the common properties in which engineer is usually interested in. The static and dynamic feedback linearization algorithms are discussed. Using algebraic tools it is possible to derive the appropriate change of coordinates in which the transformed system reads as a linear one. In addition, the specific scientific package NLControl based on Mathematica software is discussed.