Details
| Original language | English |
|---|---|
| Pages (from-to) | 1237-1246 |
| Number of pages | 10 |
| Journal | Journal of process control |
| Volume | 24 |
| Issue number | 8 |
| Publication status | Published - Aug 2014 |
| Externally published | Yes |
Abstract
In this paper, we develop a tube-based economic MPC framework for nonlinear systems subject to unknown but bounded disturbances. Instead of simply transferring the design procedure of tube-based stabilizing MPC to an economic MPC framework, we rather propose to consider the influence of the disturbance explicitly within the design of the MPC controller, which can lead to an improved closed-loop average performance. This will be done by using a specifically defined integral stage cost, which is the key feature of our proposed robust economic MPC algorithm. Furthermore, we show that the algorithm enjoys similar properties as a nominal economic MPC algorithm (i.e., without disturbances), in particular with respect to bounds on the asymptotic average performance of the resulting closed-loop system, as well as stability and optimal steady-state operation.
Keywords
- Economic model predictive control, Robust model predictive control, Set-based control
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Mathematics(all)
- Modelling and Simulation
- Computer Science(all)
- Computer Science Applications
- Engineering(all)
- Industrial and Manufacturing Engineering
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In: Journal of process control, Vol. 24, No. 8, 08.2014, p. 1237-1246.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Tube-based robust economic model predictive control
AU - Bayer, Florian A.
AU - Müller, Matthias A.
AU - Allgöwer, Frank
N1 - Funding Information: A preliminary version of parts of this paper will be presented at the IFAC World Congress, Cape Town, South Africa, 2014. The authors would like to thank the German Research Foundation (DFG) for financial support of the project within the Cluster of Excellence in Simulation Technology (EXC 310/1) at the University of Stuttgart.
PY - 2014/8
Y1 - 2014/8
N2 - In this paper, we develop a tube-based economic MPC framework for nonlinear systems subject to unknown but bounded disturbances. Instead of simply transferring the design procedure of tube-based stabilizing MPC to an economic MPC framework, we rather propose to consider the influence of the disturbance explicitly within the design of the MPC controller, which can lead to an improved closed-loop average performance. This will be done by using a specifically defined integral stage cost, which is the key feature of our proposed robust economic MPC algorithm. Furthermore, we show that the algorithm enjoys similar properties as a nominal economic MPC algorithm (i.e., without disturbances), in particular with respect to bounds on the asymptotic average performance of the resulting closed-loop system, as well as stability and optimal steady-state operation.
AB - In this paper, we develop a tube-based economic MPC framework for nonlinear systems subject to unknown but bounded disturbances. Instead of simply transferring the design procedure of tube-based stabilizing MPC to an economic MPC framework, we rather propose to consider the influence of the disturbance explicitly within the design of the MPC controller, which can lead to an improved closed-loop average performance. This will be done by using a specifically defined integral stage cost, which is the key feature of our proposed robust economic MPC algorithm. Furthermore, we show that the algorithm enjoys similar properties as a nominal economic MPC algorithm (i.e., without disturbances), in particular with respect to bounds on the asymptotic average performance of the resulting closed-loop system, as well as stability and optimal steady-state operation.
KW - Economic model predictive control
KW - Robust model predictive control
KW - Set-based control
UR - http://www.scopus.com/inward/record.url?scp=84905719822&partnerID=8YFLogxK
U2 - 10.1016/j.jprocont.2014.06.006
DO - 10.1016/j.jprocont.2014.06.006
M3 - Article
AN - SCOPUS:84905719822
VL - 24
SP - 1237
EP - 1246
JO - Journal of process control
JF - Journal of process control
SN - 0959-1524
IS - 8
ER -