A New Closed-Loop Control Paradigm Based on Process Moments

Damir Vrančić (), Pavol Bisták, Mikuláš Huba and Paulo Moura Oliveira
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Damir Vrančić: Jožef Stefan Institute, 1000 Ljubljana, Slovenia
Pavol Bisták: Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, 84104 Bratislava, Slovakia
Mikuláš Huba: Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, 84104 Bratislava, Slovakia
Paulo Moura Oliveira: INESC-TEC, Department of Engineering, School of Sciences and Technology, University of Trás-os-Montes and Alto Douro, 5001-911 Vila Real, Portugal

Mathematics, 2025, vol. 13, issue 2, 1-27

Abstract: The paper presents a new control concept based on the process moment instead of the process states or the process output signal. The control scheme is based on separate control of reference tracking and disturbance rejection. The tracking control is achieved by additionally feeding the input of the process model by the scaled output signal of the process model. The advantage of such feedback is that the final state of the process output can be analytically calculated and used for control instead of the actual process output value. The disturbance rejection, including model imperfections, is controlled by feeding back the filtered difference between the process output and the model output to the process input. The performance of tracking and disturbance rejection is simply controlled by two user-defined gains. Several examples have shown that the new control method provides very good and stable tracking and disturbance rejection performance.

Keywords: self-feedback control; tracking; disturbance-rejection; process model; 2-DOF controller; process moment (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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