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Novel Fractional-order Control Schemes

School of Engineering

About the Project

Fractional-order systems theory and control development has recently gained a lot of attention – mainly due to its potential to address several complex dynamic behaviours within a pseudo-linear system framework. Our recent research in the formulation of fractional-order controllers for linear systems has yielded excellent results. This research is aimed at expanding this research further to MIMO linear systems as well as nonlinear systems. As such, the scope is vast and the systems impacted range from nanopositioning platforms and flexible robotic structures to structural vibration isolation devices and soft robotic actuators.

Candidates should have (or expect to achieve) a UK honours degree at 2.1 or above (or equivalent) in Electrical / Mechatronics / Control / Applied Mathematics / Applied Physics.


Clear grasp of both time- and frequency-domain dynamics of linear systems (nonlinear systems advantageous).

Ability to design, simulate / implement and analyse well-known linear control schemes such as PID, Pole-Placement Method, H2, H etc.

Comfort in coding and simulating system dynamics using MATLAB / SIMULINK both in time- and frequency-domain

Knowledge of:

ODEs and PDEs, programming in MATLAB / C / C++ /

Linear and preferably nonlinear system dynamics and control


• Apply for Degree of Doctor of Philosophy in Engineering
• State name of the lead supervisor as the Name of Proposed Supervisor
• State ‘Self-funded’ as Intended Source of Funding
• State the exact project title on the application form

When applying please ensure all required documents are attached:

• All degree certificates and transcripts (Undergraduate AND Postgraduate MSc-officially translated into English where necessary)
• Detailed CV

Informal inquiries can be made to Dr S Aphale () with a copy of your curriculum vitae and cover letter. All general enquiries should be directed to the Postgraduate Research School ()

It is possible to undertake this project entirely by distance learning. Interested parties should contact Dr Aphale to discuss this.

Funding Notes

This project is advertised in relation to the research areas of the discipline of Electrical and Electronic Engineering. The successful applicant will be expected to provide the funding for Tuition fees, living expenses and maintenance. Details of the cost of study can be found by visiting View Website. THERE IS NO FUNDING ATTACHED TO THIS PROJECT.


Li, L, Chen, Z, Aphale, SS & Zhu, L 2020, 'Fractional repetitive control of nanopositioning stages for high-speed scanning using low-pass FIR variable fractional delay filter', IEEE/ASME Transactions on Mechatronics, vol. 25, no. 2, pp. 547 - 557.

San-Millan, A, Feliu-Batlle, V & Aphale, SS 2018, 'Fractional order implementation of Integral Resonant Control – A nanopositioning application', ISA Transactions, vol. 82, pp. 223-231.

Concepción A Monje, YanQuan Chen, Blas M Vinagre, Dingyu Xue, Vicente Feliu, ‘Fractional-order systems and controls: fundamentals and applications’, Springer, 2010.

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