Accession Number : ADA267565
Title : Optimal Fixed-Finite-Dimensional Compensator for Burgers' Equation with Unbounded Input/Output Operators.
Descriptive Note : Contractor rept.,
Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA
Personal Author(s) : Burns, John A. ; Marrekchi, Hamadi
Report Date : APR 1993
Pagination or Media Count : 26
Abstract : In this paper we consider the problem of using reduced order dynamic compensators to control a class of nonlinear parabolic distributed parameter systems. We concentrate on a system with unbounded input and output operators governed by Burgers' equation. We use a linearized model to compute low-order-finite-dimensional control laws by minimizing certain energy functionals. We then apply these laws to the nonlinear model. Standard approaches to this problem employ model/controller reduction techniques in conjunction with LQG theory. The approach used here is based on the finite dimensional Bernstein/Hyland optimal projection theory which yields a fixed-finite order controller.... Feedback control, Compensators, Flow control
Descriptors : *COMPENSATORS, *FLUID FLOW, *CONTROL THEORY, *NONLINEAR DIFFERENTIAL EQUATIONS, *PARTIAL DIFFERENTIAL EQUATIONS, DYNAMICS, ENERGY, FEEDBACK, INPUT, OUTPUT, PARAMETERS, REDUCTION, STANDARDS, FLUID DYNAMICS, OPTIMIZATION, PROBLEM SOLVING.
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE