Details
| Original language | English |
|---|---|
| Pages (from-to) | 502-507 |
| Number of pages | 6 |
| Journal | IFAC-PapersOnLine |
| Volume | 52 |
| Issue number | 16 |
| Early online date | 20 Dec 2019 |
| Publication status | Published - 2019 |
| Event | 11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019 - Vienna, Austria Duration: 4 Sept 2019 → 6 Sept 2019 |
Abstract
In this paper, we analyze an economic model predictive control scheme with terminal region and cost, where the system is optimally operated in a certain subset of the state space. The predictive controller operates with a cyclic horizon, which means that starting from an initial length, the horizon is reduced by one at each time step before it is restored to its maximum length again after one cycle. We give performance guarantees for the closed loop, and under a suitable dissipativity condition, establish convergence to the optimal subset. Moreover, we present conditions under which asymptotic stability of the optimal subset can be guaranteed. The results are illustrated in a practical example from the context of Networked Control Systems, which initially motivated the development of the theory presented in this paper.
Keywords
- Constrained control, Control under communication constraints, Nonlinear predictive control
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: IFAC-PapersOnLine, Vol. 52, No. 16, 2019, p. 502-507.
Research output: Contribution to journal › Conference article › Research › peer review
}
TY - JOUR
T1 - Economic MPC using a Cyclic Horizon with Application to Networked Control Systems
AU - Wildhagen, Stefan
AU - Müller, Matthias A.
AU - Allgöwer, Frank
N1 - Funding Information: The first author would like to thank Johannes Köhler for many helpful comments and fruitful discussions.
PY - 2019
Y1 - 2019
N2 - In this paper, we analyze an economic model predictive control scheme with terminal region and cost, where the system is optimally operated in a certain subset of the state space. The predictive controller operates with a cyclic horizon, which means that starting from an initial length, the horizon is reduced by one at each time step before it is restored to its maximum length again after one cycle. We give performance guarantees for the closed loop, and under a suitable dissipativity condition, establish convergence to the optimal subset. Moreover, we present conditions under which asymptotic stability of the optimal subset can be guaranteed. The results are illustrated in a practical example from the context of Networked Control Systems, which initially motivated the development of the theory presented in this paper.
AB - In this paper, we analyze an economic model predictive control scheme with terminal region and cost, where the system is optimally operated in a certain subset of the state space. The predictive controller operates with a cyclic horizon, which means that starting from an initial length, the horizon is reduced by one at each time step before it is restored to its maximum length again after one cycle. We give performance guarantees for the closed loop, and under a suitable dissipativity condition, establish convergence to the optimal subset. Moreover, we present conditions under which asymptotic stability of the optimal subset can be guaranteed. The results are illustrated in a practical example from the context of Networked Control Systems, which initially motivated the development of the theory presented in this paper.
KW - Constrained control
KW - Control under communication constraints
KW - Nonlinear predictive control
UR - http://www.scopus.com/inward/record.url?scp=85067103943&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2019.12.011
DO - 10.1016/j.ifacol.2019.12.011
M3 - Conference article
AN - SCOPUS:85067103943
VL - 52
SP - 502
EP - 507
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
IS - 16
T2 - 11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019
Y2 - 4 September 2019 through 6 September 2019
ER -