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Optimal fixed-finite-dimensional compensator for Burgers' equation with unbounded input/output operatorsThe problem of using reduced order dynamic compensators to control a class of nonlinear parabolic distributed parameter systems was considered. Concentration was on a system with unbounded input and output operators governed by Burgers' equation. A linearized model was used to compute low-order-finite-dimensional control laws by minimizing certain energy functionals. Then these laws were applied to the nonlinear model. Standard approaches to this problem employ model/controller reduction techniques in conjunction with linear quadratic Gaussian (LQG) theory. The approach used is based on the finite dimensional Bernstein/Hyland optimal projection theory which yields a fixed-finite-order controller.
Document ID
19930022668
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Burns, John A.
(Virginia Polytechnic Inst. and State Univ. Blacksburg., United States)
Marrekchi, Hamadi
(Virginia Polytechnic Inst. and State Univ. Blacksburg., United States)
Date Acquired
September 6, 2013
Publication Date
April 1, 1993
Subject Category
Numerical Analysis
Report/Patent Number
NAS 1.26:191454
ICASE-93-19
NASA-CR-191454
AD-A267480
Accession Number
93N31857
Funding Number(s)
CONTRACT_GRANT: NAS1-18605
CONTRACT_GRANT: NSF INT-89-2249
CONTRACT_GRANT: F49620-92-J-0078
PROJECT: RTOP 505-90-52-01
CONTRACT_GRANT: NAS1-19480
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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