Fractional PID Controller with LQR Proportional Action Applied to Fractional Model of Cement Rotary Kiln

Author

Hernandez, Omar ; Ortiz, Paula ; Herrera, Jorge

Volume

13

Issue

1

fYear

2015

fDate

Jan. 2015

Firstpage

37

Lastpage

42

Abstract

This paper presents the design of a fractional controller, which is applied to a fractional MISO model for cement rotary kiln. The designed controller is a combination of a fractional PID and a Linear Quadratic Regulator (LQR), where the proportional action of fractional PID is replaced by the LQR gain matrix. In addition, we evaluated the criteria of robustness of the controller, such as gain margin; phase margin; robustness to disturbances; sensitivity and rejection of high frequency noise, applied to the entire model (plant-controller).

Keywords

cement industry; control system synthesis; kilns; linear quadratic control; sensitivity; stability; three-term control; LQR gain matrix; LQR proportional action; cement rotary kiln; controller robustness criteria; disturbance robustness; fractional MISO model; fractional PID controller; fractional controller design; fractional model; gain margin; high frequency noise rejection; linear quadratic regulator; phase margin; sensitivity; Computational modeling; Gases; Kilns; MATLAB; Mathematical model; Regulators; Robustness; Linear Quadratic Regulator; PID fractional; robust controller; rotary kiln;

fLanguage

English

Journal_Title

Latin America Transactions, IEEE (Revista IEEE America Latina)

Publisher

ieee

ISSN

1548-0992

Type

jour

DOI

10.1109/TLA.2015.7040625

Filename

7040625