  This paper investigates an output tracking problem for the vapor compression
cycle in automotive Air Conditioning (A/C) systems using Linear Parameter
Varying (LPV) techniques. Stemming from a recently developed first-principle
A/C model, Jacobian linearization is first exploited to develop an LPV-based
model that is nonlinearly dependent on time-varying system parameters such as
evaporator pressure and superheat temperature. To facilitate the control
implementation, a Tensor Product (TP) model transformation is applied to
transform the LPV-based model to a TP-type convex polytopic model. LPV
controllers are then designed to guarantee system stability, robustness and
H-infinity performance. Simulations are presented to demonstrate the efficacy
of the developed framework.
