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
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE