In order to overcome the nonlinear

time-varying and multivariate of actual industrial processes

a kind of data-driven adaptive subspace predictive control method with forgetting factor was proposed . This method combined model predictive control with online subspace identification

the adaptive updating of variable forgetting factor was designed on the distance value of desired output and actual output at the same time

then the past and future forms of Hankel matrices were designed with the current forgetting factor

thus the online updated of predictive model was realized and the identification sensitivity and adaptability of controller for nonlinear and time-varying characteristics was improved. Finally

a simulating example with the quadruple tank was given to verify the validity of this method.