Details
| Original language | English |
|---|---|
| Title of host publication | 2018 European Control Conference, ECC 2018 |
| Pages | 507-513 |
| Number of pages | 7 |
| ISBN (electronic) | 9783952426982 |
| Publication status | Published - 27 Nov 2018 |
| Externally published | Yes |
| Event | 2018 European Control Conference (ECC) - Limassol, Cyprus Duration: 12 Jun 2018 → 15 Jun 2018 |
Publication series
| Name | 2018 European Control Conference, ECC 2018 |
|---|
Abstract
We present an economic model predictive control scheme for general nonlinear systems based on a terminal cost and a terminal constraint set. We study in particular systems which are optimally operated at some periodic orbit. Besides recursive feasibility of the control scheme, we provide an asymptotic average performance bound which is no worse than the performance value of the system's optimal periodic orbit. By means of a certain (strict) dissipativity assumption, asymptotic convergence to the optimal periodic orbit is shown. Using a tube-based approach, we extend our method to become applicable in the presence of unknown but bounded disturbances. In addition, we propose the concept of robust optimal periodic operation and show how it can essentially improve the closed-loop performance using a simple supply chain network example.
ASJC Scopus subject areas
- Mathematics(all)
- Control and Optimization
- Engineering(all)
- Control and Systems Engineering
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2018 European Control Conference, ECC 2018. 2018. p. 507-513 8550262 (2018 European Control Conference, ECC 2018).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research
}
TY - GEN
T1 - Economic Model Predictive Control for Robust Periodic Operation with Guaranteed Closed-Loop Performance
AU - Wabersich, Kim P.
AU - Bayer, Florian A.
AU - Müller, Matthias A.
AU - Allgöwer, Frank
N1 - Funding information: The authors would like to thank the German Research Foundation (DFG) for financial support of the project within the research grants MU 3929/1-1 and AL 316/12-1 as well as within the Cluster of Excellence in Simulation Technology (EXC 310/2) at the University of Stuttgart. Matthias A. Müller is indebted to the Baden-Württemberg Stiftung for the financial support of this research project by the Eliteprogramme for Postdocs.
PY - 2018/11/27
Y1 - 2018/11/27
N2 - We present an economic model predictive control scheme for general nonlinear systems based on a terminal cost and a terminal constraint set. We study in particular systems which are optimally operated at some periodic orbit. Besides recursive feasibility of the control scheme, we provide an asymptotic average performance bound which is no worse than the performance value of the system's optimal periodic orbit. By means of a certain (strict) dissipativity assumption, asymptotic convergence to the optimal periodic orbit is shown. Using a tube-based approach, we extend our method to become applicable in the presence of unknown but bounded disturbances. In addition, we propose the concept of robust optimal periodic operation and show how it can essentially improve the closed-loop performance using a simple supply chain network example.
AB - We present an economic model predictive control scheme for general nonlinear systems based on a terminal cost and a terminal constraint set. We study in particular systems which are optimally operated at some periodic orbit. Besides recursive feasibility of the control scheme, we provide an asymptotic average performance bound which is no worse than the performance value of the system's optimal periodic orbit. By means of a certain (strict) dissipativity assumption, asymptotic convergence to the optimal periodic orbit is shown. Using a tube-based approach, we extend our method to become applicable in the presence of unknown but bounded disturbances. In addition, we propose the concept of robust optimal periodic operation and show how it can essentially improve the closed-loop performance using a simple supply chain network example.
UR - http://www.scopus.com/inward/record.url?scp=85059818728&partnerID=8YFLogxK
U2 - 10.23919/ECC.2018.8550262
DO - 10.23919/ECC.2018.8550262
M3 - Conference contribution
T3 - 2018 European Control Conference, ECC 2018
SP - 507
EP - 513
BT - 2018 European Control Conference, ECC 2018
T2 - 2018 European Control Conference (ECC)
Y2 - 12 June 2018 through 15 June 2018
ER -