Stabilizing Parametric Region of Multiloop PID Controllers for Multivariable Systems Based on Equivalent Transfer Function
Joint Authors
Liu, Fei
Luan, Xiaoli
Chen, Qiang
Albertos, Pedro
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-23
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The aim of this paper is to determine the stabilizing PID parametric region for multivariable systems.
Firstly, a general equivalent transfer function parameterization method is proposed to construct the multiloop equivalent process for multivariable systems.
Then, based on the equivalent single loops, a model-based method is presented to derive the stabilizing PID parametric region by using the generalized Hermite-Biehler theorem.
By sweeping over the entire ranges of feasible proportional gains and determining the stabilizing regions in the space of integral and derivative gains, the complete set of stabilizing PID controllers can be determined.
The robustness of the design procedure against the approximation in getting the SISO plants is analyzed.
Finally, simulation of a practical model is carried out to illustrate the effectiveness of the proposed technique.
American Psychological Association (APA)
Luan, Xiaoli& Chen, Qiang& Albertos, Pedro& Liu, Fei. 2016. Stabilizing Parametric Region of Multiloop PID Controllers for Multivariable Systems Based on Equivalent Transfer Function. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1111991
Modern Language Association (MLA)
Luan, Xiaoli…[et al.]. Stabilizing Parametric Region of Multiloop PID Controllers for Multivariable Systems Based on Equivalent Transfer Function. Mathematical Problems in Engineering No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1111991
American Medical Association (AMA)
Luan, Xiaoli& Chen, Qiang& Albertos, Pedro& Liu, Fei. Stabilizing Parametric Region of Multiloop PID Controllers for Multivariable Systems Based on Equivalent Transfer Function. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1111991
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1111991