Paper Info
Title
A New Reduced-Order Implementation of Discrete-Time Fractional-Order PID Controller
Abstract
This paper presents a new method for computationally effective implementation of a discrete-time fractional-order proportional-integral-derivative (FOPID) controller. The proposed method is based on a unique representation of the FOPID controller, where fractional properties are modeled by a specific finite impulse response (FIR) filter. The balanced truncation model order reduction method is applied in the proposed approach to obtain an effective, low-order model of the FOPID controller. The time-invariant FOPID controller implementation is presented first, and then the methodology is extended to the controller with time-varying gains. A comparative analysis shows that the proposed methodology leads to the effective modeling of discrete-time FOPID controllers. In addition to simulation runs, the effectiveness of the introduced methodology is confirmed in a real-life experiment involving the control of the DC motor servo system. The paper concludes with the implementation tools developed in the Matlab/Simulink environment.
Year
DOI
Venue
2022
10.1109/ACCESS.2022.3150883
IEEE ACCESS
Keywords
DocType
Volume
Mathematical models, Steady-state, Servomotors, Finite impulse response filters, Computational modeling, DC motors, Analytical models, Fractional-order discrete-time PID control, model order reduction, DC~motor servo system
Journal
10
ISSN
Citations 
PageRank 
2169-3536
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Rafal Stanislawski100.68
Marek Rydel200.34
Zhixiong Li300.68