Robust Stability of Fractional Order Time-Delay Control Systems: A Graphical Approach
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-15
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The paper deals with a graphical approach to investigation of robust stability for a feedback control loop with an uncertain fractional order time-delay plant and integer order or fractional order controller.
Robust stability analysis is based on plotting the value sets for a suitable range of frequencies and subsequent verification of the zero exclusion condition fulfillment.
The computational examples present the typical shapes of the value sets of a family of closed-loop characteristic quasipolynomials for a fractional order plant with uncertain gain, time constant, or time-delay term, respectively, and also for combined cases.
Moreover, the practically oriented example focused on robust stability analysis of main irrigation canal pool controlled by either classical integer order PID or fractional order PI controller is included as well.
American Psychological Association (APA)
Matušů, Radek& Prokop, Roman. 2015. Robust Stability of Fractional Order Time-Delay Control Systems: A Graphical Approach. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1074877
Modern Language Association (MLA)
Matušů, Radek& Prokop, Roman. Robust Stability of Fractional Order Time-Delay Control Systems: A Graphical Approach. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1074877
American Medical Association (AMA)
Matušů, Radek& Prokop, Roman. Robust Stability of Fractional Order Time-Delay Control Systems: A Graphical Approach. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1074877
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074877