Fractional Order Controller Thesis Statements

Fractional order control: a tutorial

Authors: YangQuan ChenCenter for Self-Organizing and Intelligent Systems, Department of Electrical and Computer Engineering, Utah State University, Logan, UT
Ivo PetrášInstitute of Control and Informatization of Production Processes, BERG Faculty, Technical University of Košce, Košice, Slovak Republic
Dingyü XueFaculty of Information Sciences and Engineering, Northeastern University, Shenyang, P. R. China
Published in:
· Proceeding
ACC'09 Proceedings of the 2009 conference on American Control Conference
Pages 1397-1411

St. Louis, Missouri, USA — June 10 - 12, 2009
IEEE PressPiscataway, NJ, USA ©2009
table of contents ISBN: 978-1-4244-4523-3
2009 Article
· Citation Count: 15
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One of the key issues in control design for Active Magnetic Bearing (AMB) systems is the tradeoff between the simplicity of the controller structure and the performance of the closed-loop system. To achieve this tradeoff, this paper proposes the design of a fractional order Proportional-Integral-Derivative (FOPID) controller. The FOPID controller consists of only two additional parameters in comparison with a conventional PID controller. The feasibility of FOPID for AMB systems is investigated for rotor suspension in both the radial and axial directions. Tuning methods are developed based on the evolutionary algorithms for searching the optimal values of the controller parameters. The resulting FOPID controllers are then tested and compared with a conventional PID controller, as well as with some advanced controllers such as Linear Quadratic Gausian (LQG) and controllers. The comparison is made in terms of various stability and robustness specifications, as well as the dimensions of the controllers as implemented. Lastly, to validate the proposed method, experimental testing is carried out on a single-stage centrifugal compressor test rig equipped with magnetic bearings. The results show that, with a proper selection of gains and fractional orders, the performance of the resulting FOPID is similar to those of the advanced controllers. View Full-Text

Keywords: fractional order control; fractional order PID; rotor suspension; Active Magnetic Bearings; centrifugal compressor; evolutionary algorithmfractional order control; fractional order PID; rotor suspension; Active Magnetic Bearings; centrifugal compressor; evolutionary algorithm

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