Fractional order systems: Connections between their time- and frequency-domain properties and implications for feedback design

Closing Date

31st December 2021*

Applicants should contact the primary supervisor, and submit their Expression of Interest (EOI) and Application as soon as possible.

*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:

  1. Establish new connections between the zero-pole patterns of fractional-order systems and the time-domain features of their impulse and step responses;
  2. 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;
  3. Develop new parameter identification methods for fractional-order systems from knowledge of their impulse and step responses;
  4. Develop new parameter identification methods for fractional-order systems from knowledge of their frequency-domain responses;
  5. 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.

Eligibility
  • 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 

See the following web page for entry requirements: www.utas.edu.au/research/degrees/what-is-a-research-degree

Application Process

Applicants who require more information or are interested in this specific project should first contact the listed Supervisor. Information and guidance on the application process can be found on the Apply Now website.

Information about scholarships is available on the Scholarships webpage.

More Information

Please contact, Bernardo Leon de la Barra for further information.