| 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: |
|
| 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.
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.ex.ac.uk |