31st December 2021*
*unless filled earlier
The Research Project
This Ph.D. research will focus in obtaining an improved theoretical understanding of the time- and frequency-domain properties of fractional-order linear-time invariant single-input single-output control systems. Thus, the proposed research work will be conducted simultaneously in both the time- and frequency-domains and seek to more closely relate several fundamental concepts in each domain to others in the counterpart domain. In particular, this research project will seek to:
- Establish new connections between the zero-pole patterns of fractional-order systems and the time-domain features of their impulse and step responses;
- Establish new connections between the zero-pole patterns of fractional-order systems and the behaviour of the frequency response magnitude and phase characteristics of those systems;
- Develop new parameter identification methods for fractional-order systems from knowledge of their impulse and step responses;
- Develop new parameter identification methods for fractional-order systems from knowledge of their frequency-domain responses;
- Propose new fractional-order controller design methodologies for the closed-loop control of fractional-order plants that make use of the results obtained in parts a) to d).
Some of the fundamental time- and frequency-domain concepts which will be instrumental in progressing the proposed research include: extrema in the time-domain step responses, pole-zero patterns, and frequency response magnitude and phase characteristics.
- The applicant should have a number of publications indexed in the Web of Science
- Citations of these publications as recorded by the Web of Science would provide the applicant with additional merit points in this competitive process
- Applicants from the following disciplines are eligible to apply: Engineering, Mathematics and Science
Please check the Higher Degree by Research minimum entry requirements.
Applicants who require more information or are interested in this specific project should first contact the supervisor, Dr Bernardo Leon de la Barra.
Information and guidance on the application process can be found here.
To submit an application for this project, click here.