In recent years

model-free adaptive control (MFAC) harvests a rapid development because it does not require the mathematical model and only uses the input/output data of the controlled system. In this paper the Quasi-Newton Methods (BFGS) was used to revamp the parameter input of MFAC of MIMO systems

resulting in less iterative calculating number of times and adjusting time. The application in a gas fractionation unit with an annual processing capacity of 0.3 Mt showed that MFAC can reach propylene quality target and steady operation rapidly with less energy consumption due to the minimum heating and cooling duties when facing operation fluctuation.