Details
| Original language | English |
|---|---|
| Pages (from-to) | 501-506 |
| Number of pages | 6 |
| Journal | IEEE Control Systems Letters |
| Volume | 2 |
| Issue number | 3 |
| Publication status | Published - 1 Jul 2018 |
| Externally published | Yes |
Abstract
Dissipativity properties have become the tool to analyze economic model predictive control (MPC) schemes and optimal system operation. In this letter we establish equivalences between different characterizations of periodic dissipativity used in economic MPC. This allows us to unify various results and use a standard dissipativity condition instead of periodic dissipativity notions in order to characterize optimal periodic operation. As a corollary, we can formulate sufficient conditions that ensure practical asymptotic stability of the optimal periodic orbit when using an economic MPC scheme without terminal constraints.
Keywords
- Constrained control, optimal control, Predictive control for nonlinear systems
ASJC Scopus subject areas
- Mathematics(all)
- Control and Optimization
- Engineering(all)
- Control and Systems Engineering
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In: IEEE Control Systems Letters, Vol. 2, No. 3, 01.07.2018, p. 501-506.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On Periodic Dissipativity Notions in Economic Model Predictive Control
AU - Kohler, Johannes
AU - Muller, Matthias A.
AU - Allgöwer, Frank
N1 - Publisher Copyright: © 2017 IEEE. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2018/7/1
Y1 - 2018/7/1
N2 - Dissipativity properties have become the tool to analyze economic model predictive control (MPC) schemes and optimal system operation. In this letter we establish equivalences between different characterizations of periodic dissipativity used in economic MPC. This allows us to unify various results and use a standard dissipativity condition instead of periodic dissipativity notions in order to characterize optimal periodic operation. As a corollary, we can formulate sufficient conditions that ensure practical asymptotic stability of the optimal periodic orbit when using an economic MPC scheme without terminal constraints.
AB - Dissipativity properties have become the tool to analyze economic model predictive control (MPC) schemes and optimal system operation. In this letter we establish equivalences between different characterizations of periodic dissipativity used in economic MPC. This allows us to unify various results and use a standard dissipativity condition instead of periodic dissipativity notions in order to characterize optimal periodic operation. As a corollary, we can formulate sufficient conditions that ensure practical asymptotic stability of the optimal periodic orbit when using an economic MPC scheme without terminal constraints.
KW - Constrained control
KW - optimal control
KW - Predictive control for nonlinear systems
UR - http://www.scopus.com/inward/record.url?scp=85057640835&partnerID=8YFLogxK
U2 - 10.1109/LCSYS.2018.2842426
DO - 10.1109/LCSYS.2018.2842426
M3 - Article
VL - 2
SP - 501
EP - 506
JO - IEEE Control Systems Letters
JF - IEEE Control Systems Letters
IS - 3
ER -