Modeling and Control of Large Flexible Structures.
Abstract
The main emphasis in the first phase of this work has been the adaptation and enhancement of certain Wiener-Hopf methods for control system design used by J. Davis for treatment of linear, dynamic, distributed parameter models of flexible structures. The numerical algorithms for executing the spectral factorization were based on some earlier work of F. Stenger. The Davis-Stenger methodology was adapted to the problem of vibration control of flexible structures. The spectral factorization methodology avoids the difficult numerical problems associated with the solution of the Riccati partial differential equations which arise in the time domain approach for designing stabilizing controllers. In this way distributed phenomena, like travelling waves, which characterize the macroscopic dynamics of flexible structures are retained in the model, and their interaction with the control system is preserved in the analytical design process. Computational algorithms were developed and several prototype systems were treated including the Euler Beam and a simple two dimensional system. Second part of the research involved the use of a mathematical technique for asymptotic analysis called homogenization. Homogenization of the model for a structure with a regular infrastructure produces a model with smoothly varying effective parameters for mass density, local tension, and damping that represents a flexible structure with a uniform homogenized internal structure. Originator-supplied keywords include: Active controls; Vibration control; Distributed feedback control; Spectral methods.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 31, 1984
- Accession Number
- ADA150736
Entities
People
- B. Avramovic
- G. L. Blankenship
- H. G. Kwatny
- N. Barkakati
- W. Bennet