Title :
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
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;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1243453
