Systematic algorithms for characterizing the robustness of predictive controllers

Author

Remark, B.J. ; Baab, C.T. ; Mahon, H.M. ; Crisalle, O.D.

Author_Institution

Dept. of Chem. Eng., Florida Univ., Gainesville, FL, USA

Volume

3

fYear

2003

fDate

4-6 June 2003

Firstpage

2505

Abstract

The robustness of predictive controllers is studied for systems with real parametric uncertainties that belong to an ellipsoidal or hyperbox domain. A parametric stability margin is proposed as a quantitative measure of robust stability. The parametric stability margin for ellipsoidal uncertainties is calculated through the solution of a linear-quadratic program, and for hyperbox uncertainties it is calculated via a linear program. A robust controller design methodology is proposed that involves determining the parametric stability margin over a range of values for the predictive controller tuning parameters. The controller robustification approach is presented via illustrative examples.

Keywords

control system synthesis; controllers; linear programming; parameter estimation; predictive control; quadratic programming; robust control; controller robustification; ellipsoidal domain; ellipsoidal uncertainties; hyperbox domain; hyperbox uncertainties; linear quadratic program; parametric stability margin; predictive controller tuning parameters; predictive controllers characteristics; predictive controllers robustness; real parametric uncertainties; robust controller design methodology; systematic algorithms; Control system synthesis; Control systems; Design methodology; Parameter estimation; Polynomials; Predictive control; Predictive models; Robust control; Robust stability; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1243453

Filename

1243453