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Details of Grant 

EPSRC Reference: GR/M94106/01
Title: MULTI-PERIODIC REPETITIVE CONTROL
Principal Investigator: Owens, Professor DH
Other Investigators:
Researcher Co-Investigators:
Project Partners:
GEC Rolls-Royce Plc (UK)
Department: Automatic Control and Systems Eng
Organisation: University of Sheffield
Scheme: Standard Research (Pre-FEC)
Starts: 01 April 2000 Ends: 31 March 2003 Value (£): 144,384
EPSRC Research Topic Classifications:
Control Engineering
EPSRC Industrial Sector Classifications:
Aerospace, Defence and Marine No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
Many signals appearing in engineering are multi-periodic, i.e., superpositions of finitely many periodic signals. Such signals are dominant in electrical power generation an transmission, power converters, engines, various vibrations or sea-waves. Repetitive control has been developed starting in the 80s to achieve tracking and/or disturbance rejection for periodic signals. It uses an (infinite-dimensional) internal model and achieves improved control by exploiting the periodic nature of the signals. Its applicability has been limited by the requirement of periodicity, and by the computational difficulty in getting a stable closed-loop system. The program is aimed at overcoming these difficulties and making repetitive control a valuable technique in vibration suppression, control of power converters and related application areas. The main theoretical contribution will be to generalize repetitive control to multi-periodic signals and genuine MIMO systems using recent advances in dynamic stabilization of infinite-dimensional systems and the emergence of computationally efficient methods in robust control. Mechanisms which adjust the relevant frequencies in the controller in response to slow changes in the power spectrum of the external signals will also be incorporated. MATLAB-based software design tools will be developed and collaboration with GEC-Alsthom and Rolls-Royce (Filton) will provide an opportunity to evaluate the techniques.
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Organisation Website: http://www.shef.ac.uk