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Characterization of the Stabilizing PID Controller Region for the Model-Free Time-Delay System
Joint Authors
Ou, Linlin
Su, Yuan
Chen, Xuanguang
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-11
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
For model-free time-delay systems, an analytical method is proposed to characterize the stabilizing PID region based on the frequency response data.
Such characterization uses linear programming which is computationally efficient.
The characteristic parameters of the controller are first extracted from the frequency response data.
Subsequently, by employing an extended Hermite-Biehler theorem on quasipolynomials, the stabilizing polygon region with respect to the integral and derivative gains (ki and kd) is described for a given proportional gain (kp) in term of the frequency response data.
Simultaneously, the allowable stabilizing range of kp is derived such that the complete stabilizing set of the PID controller can be obtained easily.
The proposed method avoids the complexity and inaccuracy of the model identification and thus provides a convenient approach for the design and tuning of the PID controller in practice.
The advantage of the proposed algorithm lies in that the boundaries of the stabilizing region consist of several simple straight lines, the complete stabilizing set can be obtained efficiently, and it can be implemented automatically in computers.
American Psychological Association (APA)
Ou, Linlin& Su, Yuan& Chen, Xuanguang. 2013. Characterization of the Stabilizing PID Controller Region for the Model-Free Time-Delay System. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-508690
Modern Language Association (MLA)
Ou, Linlin…[et al.]. Characterization of the Stabilizing PID Controller Region for the Model-Free Time-Delay System. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-508690
American Medical Association (AMA)
Ou, Linlin& Su, Yuan& Chen, Xuanguang. Characterization of the Stabilizing PID Controller Region for the Model-Free Time-Delay System. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-508690
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508690