Details
| Original language | English |
|---|---|
| Pages (from-to) | 98-106 |
| Number of pages | 9 |
| Journal | Automatica |
| Volume | 88 |
| Early online date | 22 Dec 2017 |
| Publication status | Published - Feb 2018 |
| Externally published | Yes |
Abstract
In this paper, different approaches for economic MPC under disturbances are investigated with respect to their optimal operating behavior. We derive dissipativity-based conditions under which certain optimal operating regimes can be guaranteed for the considered setups. Depending on the information about the disturbance, the system, and the algorithmic structure of the considered underlying robust economic MPC scheme, different statements can be derived. These include, inter alia, statements on stochastic and robust optimal operation. Moreover, we are able to provide converse statements showing – under a certain controllability assumption – necessity of the dissipativity statements for optimal operation at steady-state.
Keywords
- Economic model predictive control, Robust model predictive control, Stochastic disturbances
ASJC Scopus subject areas
- Engineering(all)
- Electrical and Electronic Engineering
- Engineering(all)
- Control and Systems Engineering
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In: Automatica, Vol. 88, 02.2018, p. 98-106.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On optimal system operation in robust economic MPC
AU - Bayer, Florian A.
AU - Müller, Matthias A.
AU - Allgöwer, Frank
N1 - © 2017 Elsevier Ltd. All rights reserved.
PY - 2018/2
Y1 - 2018/2
N2 - In this paper, different approaches for economic MPC under disturbances are investigated with respect to their optimal operating behavior. We derive dissipativity-based conditions under which certain optimal operating regimes can be guaranteed for the considered setups. Depending on the information about the disturbance, the system, and the algorithmic structure of the considered underlying robust economic MPC scheme, different statements can be derived. These include, inter alia, statements on stochastic and robust optimal operation. Moreover, we are able to provide converse statements showing – under a certain controllability assumption – necessity of the dissipativity statements for optimal operation at steady-state.
AB - In this paper, different approaches for economic MPC under disturbances are investigated with respect to their optimal operating behavior. We derive dissipativity-based conditions under which certain optimal operating regimes can be guaranteed for the considered setups. Depending on the information about the disturbance, the system, and the algorithmic structure of the considered underlying robust economic MPC scheme, different statements can be derived. These include, inter alia, statements on stochastic and robust optimal operation. Moreover, we are able to provide converse statements showing – under a certain controllability assumption – necessity of the dissipativity statements for optimal operation at steady-state.
KW - Economic model predictive control
KW - Robust model predictive control
KW - Stochastic disturbances
UR - http://www.scopus.com/inward/record.url?scp=85037681523&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2017.11.007
DO - 10.1016/j.automatica.2017.11.007
M3 - Article
VL - 88
SP - 98
EP - 106
JO - Automatica
JF - Automatica
SN - 0005-1098
ER -