| EPSRC Reference: |
GR/R11551/01 |
| Title: |
On the Role of Normal Forms In Control and Systems Theory |
| Principal Investigator: |
Astolfi, Professor A |
| Other Investigators: |
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| Department: |
Electrical and Electronic Engineering |
| Organisation: |
Imperial College London |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
05 June 2001 |
Ends: |
04 December 2003 |
Value (£): |
15,633
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| EPSRC Research Topic Classifications: |
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| EPSRC Industrial Sector Classifications: |
| Aerospace, Defence and Marine |
Information Technologies |
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Summary on Grant Application Form |
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Several linear and non-linear control problems, including identification and robust control problems, have been widely studied in the last decades and numerous (co-ordinates free) characterisations have been proposed. These provide a set of necessary and sufficient conditions which must be tested to verify the solvability of the problem and are exploited in the construction of a solution. These tests involve coupled Linear Matrix Inequalities (in the case of linear systems) or Partial Differential Equations (in the case of non-linear systems), hence are very difficult to assess. Nevertheless, it has been shown that several problems (for example the stabilisation problem) are easily solved if the underlying system is described in a set of co-ordinates adapted to the problem. Goal of this research project is to study the role of co-ordinates transformations in the solution of identification and control problems. More precisely, the problems of parameters identification, static output feedback stabilisation, mixed H2-Hinf control and model reduction for linear and non-linear systems will be revisited in co-ordinates ie the problem will be studied in the co-ordinates system which is better suited to expose it. As a result, simple to test necessary conditions (obstructions) and simple constructive algorithms for the above mentioned problems will be derived.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.imperial.ac.uk |