[article]
| Titre : |
On the effects of tunable parameters of model predictive control on the locations of closed-loop eigenvalues |
| Type de document : |
texte imprimé |
| Auteurs : |
Jorge L. Garriga, Auteur ; Masoud Soroush, Auteur |
| Année de publication : |
2010 |
| Article en page(s) : |
pp 7951–7956 |
| Note générale : |
Chimie industrielle |
| Langues : |
Anglais (eng) |
| Mots-clés : |
Tunable parameters Predictive control. |
| Résumé : |
This paper presents an analytical study of the effects of model predictive control (MPC) tunable parameters on the closed-loop performance quantified in terms of the location(s) of closed-loop eigenvalue(s) of several common, single-input single-output, linear plants with inactive constraints. Symbolic manipulation capabilities of MATHEMATICA are used to obtain analytical expressions describing the dependence of closed-loop eigenvalues on the tunable parameters. This work is first to investigate how MPC tuning parameters affect the locations of the eigenvalues of the closed-loop system of a plant in the discrete-time setting. It provides theoretical basis/justification for several existing qualitative MPC tuning rules and proposes new tuning guidelines. For example, as the prediction horizon is increased while other tunable parameters remain constant, a subset of the closed-loop eigenvalues (poles) move toward the open-loop eigenvalues (poles) of the plant, if the plant is asymptotically stable. If a prediction horizon much longer than the reference-trajectory time constant is used, the value of the reference-trajectory time constant has little effect on the closed-loop performance. As the weights on the magnitude or the rate of change of the manipulated input are increased, the closed-loop eigenvalues move toward the open-loop eigenvalues. As the control horizon is increased from one, the dominant eigenvalue of the closed-loop system initially moves toward the origin and then away from the origin to a location that does not change with a further increase in the control horizon. |
| DEWEY : |
660 |
| ISSN : |
0888-5885 |
| En ligne : |
http://pubs.acs.org/doi/abs/10.1021/ie100030e |
in Industrial & engineering chemistry research > Vol. 49 N° 17 (Septembre 1, 2010) . - pp 7951–7956
[article] On the effects of tunable parameters of model predictive control on the locations of closed-loop eigenvalues [texte imprimé] / Jorge L. Garriga, Auteur ; Masoud Soroush, Auteur . - 2010 . - pp 7951–7956. Chimie industrielle Langues : Anglais ( eng) in Industrial & engineering chemistry research > Vol. 49 N° 17 (Septembre 1, 2010) . - pp 7951–7956
| Mots-clés : |
Tunable parameters Predictive control. |
| Résumé : |
This paper presents an analytical study of the effects of model predictive control (MPC) tunable parameters on the closed-loop performance quantified in terms of the location(s) of closed-loop eigenvalue(s) of several common, single-input single-output, linear plants with inactive constraints. Symbolic manipulation capabilities of MATHEMATICA are used to obtain analytical expressions describing the dependence of closed-loop eigenvalues on the tunable parameters. This work is first to investigate how MPC tuning parameters affect the locations of the eigenvalues of the closed-loop system of a plant in the discrete-time setting. It provides theoretical basis/justification for several existing qualitative MPC tuning rules and proposes new tuning guidelines. For example, as the prediction horizon is increased while other tunable parameters remain constant, a subset of the closed-loop eigenvalues (poles) move toward the open-loop eigenvalues (poles) of the plant, if the plant is asymptotically stable. If a prediction horizon much longer than the reference-trajectory time constant is used, the value of the reference-trajectory time constant has little effect on the closed-loop performance. As the weights on the magnitude or the rate of change of the manipulated input are increased, the closed-loop eigenvalues move toward the open-loop eigenvalues. As the control horizon is increased from one, the dominant eigenvalue of the closed-loop system initially moves toward the origin and then away from the origin to a location that does not change with a further increase in the control horizon. |
| DEWEY : |
660 |
| ISSN : |
0888-5885 |
| En ligne : |
http://pubs.acs.org/doi/abs/10.1021/ie100030e |
|
Ajouter le résultat dans votre panier Faire une suggestion Affiner la rechercheModel predictive control tuning methods / Jorge L. Garriga in Industrial & engineering chemistry research, Vol. 49 N° 8 (Avril 2010)
