EPSRC Reference: |
GR/L78086/01 |
Title: |
INTEGRAL - INVARIANCE PRINCIPLES AND UNIVERSAL ADAPTIVE CONTROL |
Principal Investigator: |
Ryan, Professor EP |
Other Investigators: |
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Researcher Co-Investigators: |
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Project Partners: |
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Department: |
Mathematical Sciences |
Organisation: |
University of Bath |
Scheme: |
Standard Research (Pre-FEC) |
Starts: |
01 September 1998 |
Ends: |
30 September 2001 |
Value (£): |
112,342
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EPSRC Research Topic Classifications: |
Non-linear Systems Mathematics |
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EPSRC Industrial Sector Classifications: |
No relevance to Underpinning Sectors |
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Related Grants: |
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Panel History: |
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Summary on Grant Application Form |
The proposed programme is twofold in theme: (i) an investigation of asymptotic behaviour of integrable functions in the development of invariance principles for dynamical systems modelled by differential equations, differential inclusions and infinite-dimensional abstract semi-flows; (ii) application of such principles in analysis and design of universal adaptive regulators for classes of uncertain nonlinear and infinite- dimensional systems, with emphasis on high-gain and low-gain control strategies. An important aspect of the programme is the synthesis of adaptive controllers which can cope with nonlinearities of the type that permeate engineering practice: deadzones, saturation, hysteresis, backlash and quantization. The goal is to contribute to the development of a rigorous - and applicable - theory of adaptation through utilization of tools from nonlinear/nonsmooth mathematics and infinite-dimensional control theory in a context of systems natural to control engineering.
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Key Findings |
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Potential use in non-academic contexts |
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Impacts |
Description |
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Summary |
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Date Materialised |
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Sectors submitted by the Researcher |
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Project URL: |
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Further Information: |
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Organisation Website: |
http://www.bath.ac.uk |