Optimal Fixed-Finite-Dimensional Compensator for Burgers' Equation with Unbounded Input/Output Operators

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 Bernstein/Hyland optimal projection theory which yields a fixed-finite-order controller. Feedback control, Compensators, Flow control.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1993
Accession Number
ADA267480

Entities

People

  • Hamadi Marrekchi
  • John A. Burns

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Communities of Interest

  • Energy and Power Technologies

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  • Algorithms
  • Applied Mathematics
  • Cauchy Problem
  • Closed Loop Systems
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  • Differential Equations
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  • Riccati Equation

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)