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Details of Grant 

EPSRC Reference: GR/S01580/01
Title: Sampled-Data Stabilization and Tracking for Infinite-Dimensional Systems with Applications to Control of PDEs
Principal Investigator: Townley, Professor S
Other Investigators:
Weiss, Professor G Logemann, Professor H
Researcher Co-Investigators:
Project Partners:
Department: Mathematical Sciences
Organisation: University of Exeter
Scheme: Standard Research (Pre-FEC)
Starts: 24 June 2002 Ends: 23 October 2003 Value (£): 5,976
EPSRC Research Topic Classifications:
Control Engineering Mathematical Analysis
Non-linear Systems Mathematics
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
Professor Rebarber is a leading researcher in the field of infinite-dimensional control. He is one of the few-researchers with expertise in systems theory and control of PDEs. Our previous collaboration with Rebarber lies at the interface of these two approaches. We want to exploit Rebarber's unique expertise and further develop our collaboration. We are particularly keen to continue and further enhance our links with the PDE approach as this starts to gain momentum in US research. In addition to the somewhat unique combination of systems theory and PDEs our work is often motivated by control engineering problems. In this proposal we are interested in the engineering inspired problems of sampled-data control and tracking. Whilst these are important research areas needing generalization to the infinite-dimensional case, they also throw up a number of interesting (mathematical) problems not encountered in finite dimensional control. For example, stabilization by feedback need not be retained under sampling even if the sampling rate is fast enough as is the case in finite dimensional control. Some of the problems we will consider are novel even for finite dimensional systems. Our research will involve mathematical techniques from operator semigroups, PDEs and frequency domain techniques.
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Organisation Website: http://www.ex.ac.uk