Details
| Original language | English |
|---|---|
| Article number | 6426754 |
| Pages (from-to) | 1011-1016 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Publication status | Published - 2012 |
| Externally published | Yes |
| Event | 51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States Duration: 10 Dec 2012 → 13 Dec 2012 |
Abstract
We study a dissipativity property which was recently used in several results on economic model predictive control to ensure optimal operation of a system at steady-state as well as stability. This dissipativity property involves a supply rate which depends on the state and input constraints imposed on the system. The main contribution of this paper is to show that under certain conditions, this dissipativity property, and hence also optimal operation of a system at steady-state, is robust with respect to small changes in the constraint set. Moreover, we show that further results are possible if a certain convexity assumption is satisfied.
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Mathematics(all)
- Modelling and Simulation
- Mathematics(all)
- Control and Optimization
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In: Proceedings of the IEEE Conference on Decision and Control, 2012, p. 1011-1016.
Research output: Contribution to journal › Conference article › Research › peer review
}
TY - JOUR
T1 - Robustness of steady-state optimality in economic model predictive control
AU - Muller, Matthias A.
AU - Allgower, Frank
PY - 2012
Y1 - 2012
N2 - We study a dissipativity property which was recently used in several results on economic model predictive control to ensure optimal operation of a system at steady-state as well as stability. This dissipativity property involves a supply rate which depends on the state and input constraints imposed on the system. The main contribution of this paper is to show that under certain conditions, this dissipativity property, and hence also optimal operation of a system at steady-state, is robust with respect to small changes in the constraint set. Moreover, we show that further results are possible if a certain convexity assumption is satisfied.
AB - We study a dissipativity property which was recently used in several results on economic model predictive control to ensure optimal operation of a system at steady-state as well as stability. This dissipativity property involves a supply rate which depends on the state and input constraints imposed on the system. The main contribution of this paper is to show that under certain conditions, this dissipativity property, and hence also optimal operation of a system at steady-state, is robust with respect to small changes in the constraint set. Moreover, we show that further results are possible if a certain convexity assumption is satisfied.
UR - http://www.scopus.com/inward/record.url?scp=84874245745&partnerID=8YFLogxK
U2 - 10.1109/CDC.2012.6426754
DO - 10.1109/CDC.2012.6426754
M3 - Conference article
AN - SCOPUS:84874245745
SP - 1011
EP - 1016
JO - Proceedings of the IEEE Conference on Decision and Control
JF - Proceedings of the IEEE Conference on Decision and Control
SN - 0743-1546
M1 - 6426754
T2 - 51st IEEE Conference on Decision and Control, CDC 2012
Y2 - 10 December 2012 through 13 December 2012
ER -