Balanced POD algorithm for robust control design for linear distributed parameter systems

Author

Singler, J.R. ; Batten, B.A.

Author_Institution

Dept. of Math. & Stat., Missouri Univ. of Sci. & Technol., Rolla, MO, USA

fYear

2010

fDate

June 30 2010-July 2 2010

Firstpage

4881

Lastpage

4886

Abstract

A mathematical model of a physical system is never perfect; therefore, robust control laws are necessary for guaranteed stabilization of the nominal model and also “nearby” systems, including hopefully the actual physical system. We consider the computation of a robust control law for large-scale finite dimensional linear systems and a class of linear distributed parameter systems. The controller is robust with respect to left coprime factor perturbations of the nominal system. We present an algorithm based on balanced proper orthogonal decomposition to compute the nonstandard features of this robust control law. Numerical results are presented for a convection diffusion partial differential equation.

Keywords

control system synthesis; distributed parameter systems; large-scale systems; linear systems; multidimensional systems; partial differential equations; perturbation techniques; robust control; balanced POD algorithm; balanced proper orthogonal decomposition; diffusion partial differential equation; large-scale finite dimensional linear systems; left coprime factor perturbation; linear distributed parameter system; nominal model; physical system mathematical model; robust control design; robust control law; stability; Algorithm design and analysis; Centralized control; Control systems; Distributed parameter systems; Large-scale systems; Linear systems; Mathematical model; Matrix decomposition; Riccati equations; Robust control;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2010

Conference_Location

Baltimore, MD

ISSN

0743-1619

Print_ISBN

978-1-4244-7426-4

Type

conf

DOI

10.1109/ACC.2010.5530909

Filename

5530909