Control of Distributed Parameter Systems
Abstract
A unified approximation framework for parameter estimation in general linear partial differential equators models has been completed. This framework has provided the theoretical basis for a number of identification problems on which these investigators have made significant progress. These include: (i) nondestructive evaluation techniques of composite materials using thermal probes. (ii) estimation of damping in composite material beams from vibration experiments. In connection with item (ii) it has been shown conclusively that an identification of damping mechanisms in the partial differential equation of a composite beam cannot be accomplished by the use of experimental model analysis. This is a major result in the theory of identifying damping mechanisms in flexible structures. The group has also studied questions related to the determination of irregularities (corrosion, cracks, delaminations, etc.) in composite materials using boundary observations of temperatures after known heat fluxes have been applied to the boundary. Successful efforts using experimental data with the theoretical and computational ideas developed by this group are reported. Substantial progress has been made on the development of a statistical framework (including hypothesis testing algorithms) to use in comparing the suitability of PDE models in least squares fits to data. A number of results on feedback stabilization of distributed parameter model have been obtained.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1990
- Accession Number
- ADA227306
Entities
People
- H. Thomas Banks
Organizations
- Brown University