Process Systems Engineering
Robust stability analysis of constrained l1-norm model predictive control
Article first published online: 17 JUN 2004
Copyright © 1993 American Institute of Chemical Engineers
Volume 39, Issue 12, pages 1954–1965, December 1993
How to Cite
Genceli, H. and Nikolaou, M. (1993), Robust stability analysis of constrained l1-norm model predictive control. AIChE J., 39: 1954–1965. doi: 10.1002/aic.690391206
- Issue published online: 17 JUN 2004
- Article first published online: 17 JUN 2004
- Manuscript Revised: 2 APR 1993
- Manuscript Received: 30 DEC 1992
Sufficient conditions for robust closed-loop stability of a class of dynamic matrix control (DMC) systems are presented. The l1-norm is used in the objective function of the on-line optimization, thus resulting in a linear programming problem. The ideas of this work, however, are expandable to other DMC-type controllers. The keys to the stability conditions are: to use an end-condition in the moving horizon on-line optimization; to have coefficients of the move suppression term in the objective function of the on-line optimization satisfy certain inequalities; and to express the uncertainty as deviations in the unit pulse response coefficients of the nominal plant. These deviations and disturbances must also satisfy certain inequalities.
An off-line tuning procedure for robust stability and performance of a class of DMC controllers is also included, which determines an optimal moving horizon length and optimal values for coefficients of the move suppression term. The applicability of our approach is elucidated through numerical simulations.