Studies in Stabilization and Control of Beams and Plates
Abstract
The principal achievement of the research undertaken under this grant was the development of comprehensive theories of exact controllability and stabilization of thin plate dynamics by means of forces and moments applied on the edge of the plate, based on continuum models of plates. Two major research monographs, which lay the foundations of the theories, were written. The motivation for this study, and its ultimate goal, is the design and analysis of practical strategies for active control and vibration suppression in flexible structures. A second, related, area of research was the design of feedback controls acting on the edge of the plate which uniformly stabilize plate motion, i.e, which cause all of the modes to decay at some uniform rate. Once again, such control strategies were sought for a wide variety of plate models, including nonlinear models. In fact, our results for nonlinear models (in which the nonlinearities may be both in the dynamics and in the feedback control) are probably the first of their kind. Structural beams, Thermal stresses.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 31, 1988
- Accession Number
- ADA208635
Entities
People
- John E. Lagnese
Organizations
- Georgetown University