Details
| Original language | English |
|---|---|
| Article number | 6914561 |
| Pages (from-to) | 1671-1676 |
| Number of pages | 6 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 60 |
| Issue number | 6 |
| Publication status | Published - 1 Jun 2015 |
| Externally published | Yes |
Abstract
In this paper, 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. In particular, we first investigate whether this dissipativity property is not only sufficient, but also necessary for optimal steady-state operation. In the most general case, this is not true; nevertheless, under an additional controllability assumption, we show that dissipativity is in fact necessary. Second, we provide a robustness analysis of the dissipativity property with respect to changes in the constraint set, which can result in a change in the considered supply rate.
Keywords
- Dissipativity, economic model predictive control, nonlinear model predictive control
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- Computer Science Applications
- Engineering(all)
- Electrical and Electronic Engineering
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In: IEEE Transactions on Automatic Control, Vol. 60, No. 6, 6914561, 01.06.2015, p. 1671-1676.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On necessity and robustness of dissipativity in economic model predictive control
AU - Müller, Matthias A.
AU - Angeli, David
AU - Allgöwer, Frank
N1 - Publisher Copyright: © 2014 IEEE.
PY - 2015/6/1
Y1 - 2015/6/1
N2 - In this paper, 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. In particular, we first investigate whether this dissipativity property is not only sufficient, but also necessary for optimal steady-state operation. In the most general case, this is not true; nevertheless, under an additional controllability assumption, we show that dissipativity is in fact necessary. Second, we provide a robustness analysis of the dissipativity property with respect to changes in the constraint set, which can result in a change in the considered supply rate.
AB - In this paper, 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. In particular, we first investigate whether this dissipativity property is not only sufficient, but also necessary for optimal steady-state operation. In the most general case, this is not true; nevertheless, under an additional controllability assumption, we show that dissipativity is in fact necessary. Second, we provide a robustness analysis of the dissipativity property with respect to changes in the constraint set, which can result in a change in the considered supply rate.
KW - Dissipativity
KW - economic model predictive control
KW - nonlinear model predictive control
UR - http://www.scopus.com/inward/record.url?scp=84930613557&partnerID=8YFLogxK
U2 - 10.1109/TAC.2014.2361193
DO - 10.1109/TAC.2014.2361193
M3 - Article
AN - SCOPUS:84930613557
VL - 60
SP - 1671
EP - 1676
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 6
M1 - 6914561
ER -