Design of adaptive sliding window PI-PCA controller

In this paper an approach to design adaptive proportional-integral (PI) controllers, for SISO systems, based on sliding window principal components analysis (PCA) is presented. Closed-loop control can be formulated and implemented within the reduced space defined by a PCA model. This PCA controller, results in an integral controller, which can be used as an inferential controller for linear or nonlinear systems. The main contributions of the paper are: (a) the proposed architecture and the adaptive mechanism based on online sliding window PCA; (b) the incorporation of a proportional action and an integral anti-windup mechanism on the integral PCA controller. Some experimental results, obtained with a nonlinear system (three tank benchmark - Amira DTS200) are presented, showing the controller performance.