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Closed-form formulas for continuous/discrete-time pidaj controller's parameters

Author(s)
Ukakimaparn, Prapart
Tirasesth, Kitti
Trisuwannawat, Thanit
Pannil, Pittaya
Date Issued
July 1, 2019
Type
Article
DOI
10.24507/icicel.13.07.645
Abstract
This paper focuses on establishing the closed-form formulas to design a proportional-integral-derivative-acceleration-jerk (PIDAJ) controller for fourth-order pla- nts. After plant modeling, the analog PIDAJ controller in continuous-time domain can be designed by utilizing the proposed formulas in a vector-matrix form. Based on bilinear transform, the digital PIDAJ controller in discrete-time domain can then be achieved. The use of the proposed formulas to determine the PIDAJ controller's parameters for controlling the air-fuel ratio of an engine is described as an application example to con- _rm their feasibility. MATLAB simulation results con_rm the consistency between step responses of the example system controlled by the designed controllers in continuous-time domain and discrete-time domain.
Citation
Icic Express Letters, 13(7), 645-652, 2019
Subjects

Bilinear transform

Continuous-time

Controller design

Discrete-time

Fourth-order plant

PIDAJ controller

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