Details
| Original language | English |
|---|---|
| Pages (from-to) | 128-139 |
| Number of pages | 12 |
| Journal | AUTOMATICA |
| Volume | 70 |
| Publication status | Published - 1 Aug 2016 |
| Externally published | Yes |
Abstract
In this paper, we analyze economic model predictive control schemes without terminal constraints, where the optimal operating behavior is not steady-state operation, but periodic behavior. We first show by means of a counterexample, that a classical receding horizon control scheme does not necessarily result in an optimal closed-loop behavior. Instead, a multi-step MPC scheme may be needed in order to establish near optimal performance of the closed-loop system. This behavior is analyzed in detail, and we show that under suitable dissipativity and controllability conditions, desired closed-loop performance guarantees as well as convergence to the optimal periodic orbit can be established.
Keywords
- Economic model predictive control, Nonlinear systems, Optimal periodic operation
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Engineering(all)
- Electrical and Electronic Engineering
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In: AUTOMATICA, Vol. 70, 01.08.2016, p. 128-139.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Economic model predictive control without terminal constraints for optimal periodic behavior
AU - Müller, Matthias A.
AU - Grüne, Lars
N1 - Funding information: The work of Matthias A. Müller was supported by DFG Grant MU3929/1-1 . The work of Lars Grüne was supported by DFG Grant GR1569/13-1 . The material in this paper was partially presented at the 54th IEEE Conference on Decision and Control, December 15–18, 2015, Osaka, Japan. This paper was recommended for publication in revised form by Associate Editor Alessandro Astolfi under the direction of Editor Andrew R. Teel.
PY - 2016/8/1
Y1 - 2016/8/1
N2 - In this paper, we analyze economic model predictive control schemes without terminal constraints, where the optimal operating behavior is not steady-state operation, but periodic behavior. We first show by means of a counterexample, that a classical receding horizon control scheme does not necessarily result in an optimal closed-loop behavior. Instead, a multi-step MPC scheme may be needed in order to establish near optimal performance of the closed-loop system. This behavior is analyzed in detail, and we show that under suitable dissipativity and controllability conditions, desired closed-loop performance guarantees as well as convergence to the optimal periodic orbit can be established.
AB - In this paper, we analyze economic model predictive control schemes without terminal constraints, where the optimal operating behavior is not steady-state operation, but periodic behavior. We first show by means of a counterexample, that a classical receding horizon control scheme does not necessarily result in an optimal closed-loop behavior. Instead, a multi-step MPC scheme may be needed in order to establish near optimal performance of the closed-loop system. This behavior is analyzed in detail, and we show that under suitable dissipativity and controllability conditions, desired closed-loop performance guarantees as well as convergence to the optimal periodic orbit can be established.
KW - Economic model predictive control
KW - Nonlinear systems
KW - Optimal periodic operation
UR - http://www.scopus.com/inward/record.url?scp=84963691816&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2016.03.024
DO - 10.1016/j.automatica.2016.03.024
M3 - Article
AN - SCOPUS:84963691816
VL - 70
SP - 128
EP - 139
JO - AUTOMATICA
JF - AUTOMATICA
SN - 0005-1098
ER -