Details
| Original language | English |
|---|---|
| Pages (from-to) | 224-409 |
| Number of pages | 98 |
| Journal | Foundations and Trends® in Systems and Control |
| Volume | 5 |
| Issue number | 1 |
| Publication status | Published - 12 Jan 2018 |
| Externally published | Yes |
Abstract
In recent years, Economic Model Predictive Control (empc) has received considerable attention of many research groups. The present tutorial survey summarizes state-of-the-art approaches in empc. In this context empc is to be understood as receding-horizon optimal control with a stage cost that does not simply penalize the distance to a desired equilibrium but encodes more sophisticated economic objectives. This survey provides a comprehensive overview of empc stability results: with and without terminal constraints, with and without dissipativtiy assumptions, with averaged constraints, formulations with multiple objectives and generalized terminal constraints as well as Lyapunov-based approaches. Moreover, we compare different performance criteria for some of the considered approaches and comment on the connections to recent research on dissipativity of optimal control problems. We consider a discrete-time setting and point towards continuous-time variants. We illustrate the different empc schemes with several examples.
ASJC Scopus subject areas
- Mathematics(all)
- Control and Optimization
- Engineering(all)
- Control and Systems Engineering
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In: Foundations and Trends® in Systems and Control, Vol. 5, No. 1, 12.01.2018, p. 224-409.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Economic Nonlinear Model Predictive Control
AU - Faulwasser, Timm
AU - Grüne, Lars
AU - Müller, Matthias A.
N1 - Publisher Copyright: © 2018 Now Publishers Inc. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2018/1/12
Y1 - 2018/1/12
N2 - In recent years, Economic Model Predictive Control (empc) has received considerable attention of many research groups. The present tutorial survey summarizes state-of-the-art approaches in empc. In this context empc is to be understood as receding-horizon optimal control with a stage cost that does not simply penalize the distance to a desired equilibrium but encodes more sophisticated economic objectives. This survey provides a comprehensive overview of empc stability results: with and without terminal constraints, with and without dissipativtiy assumptions, with averaged constraints, formulations with multiple objectives and generalized terminal constraints as well as Lyapunov-based approaches. Moreover, we compare different performance criteria for some of the considered approaches and comment on the connections to recent research on dissipativity of optimal control problems. We consider a discrete-time setting and point towards continuous-time variants. We illustrate the different empc schemes with several examples.
AB - In recent years, Economic Model Predictive Control (empc) has received considerable attention of many research groups. The present tutorial survey summarizes state-of-the-art approaches in empc. In this context empc is to be understood as receding-horizon optimal control with a stage cost that does not simply penalize the distance to a desired equilibrium but encodes more sophisticated economic objectives. This survey provides a comprehensive overview of empc stability results: with and without terminal constraints, with and without dissipativtiy assumptions, with averaged constraints, formulations with multiple objectives and generalized terminal constraints as well as Lyapunov-based approaches. Moreover, we compare different performance criteria for some of the considered approaches and comment on the connections to recent research on dissipativity of optimal control problems. We consider a discrete-time setting and point towards continuous-time variants. We illustrate the different empc schemes with several examples.
UR - http://www.scopus.com/inward/record.url?scp=85044781835&partnerID=8YFLogxK
U2 - 10.1561/2600000014
DO - 10.1561/2600000014
M3 - Article
VL - 5
SP - 224
EP - 409
JO - Foundations and Trends® in Systems and Control
JF - Foundations and Trends® in Systems and Control
SN - 2325-6818
IS - 1
ER -