Details
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 2011 American Control Conference, ACC 2011 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 5169-5174 |
| Number of pages | 6 |
| ISBN (print) | 9781457700804 |
| Publication status | Published - 2011 |
| Externally published | Yes |
Publication series
| Name | Proceedings of the American Control Conference |
|---|---|
| ISSN (Print) | 0743-1619 |
Abstract
In this paper, we propose a model predictive control (MPC) algorithm for switched nonlinear systems under average dwell-time switching signals. Assuming that a stabilizing MPC controller exists for each of the subsystems, we show that recursive feasibility of the repeatedly solved optimal control problem and asymptotic stability of the closed-loop switched system can be established if a certain average dwell-time condition is satisfied. If the switching times are unknown a priori and cannot be detected instantly, further application of the MPC controller calculated for the previously active subsystem might result in instability of the newly activated subsystem. It is shown that if the switches can be detected fast enough, then still ultimate boundedness in an arbitrarily small region around the origin can be ensured, i.e., the proposed MPC algorithm is inherently practically robust with respect to small errors in the detection of the switching times.
ASJC Scopus subject areas
- Engineering(all)
- Electrical and Electronic Engineering
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Proceedings of the 2011 American Control Conference, ACC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 5169-5174 5990955 (Proceedings of the American Control Conference).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Model predictive control of switched nonlinear systems under average dwell-time
AU - Müller, Matthias A.
AU - Allgöwer, Frank
PY - 2011
Y1 - 2011
N2 - In this paper, we propose a model predictive control (MPC) algorithm for switched nonlinear systems under average dwell-time switching signals. Assuming that a stabilizing MPC controller exists for each of the subsystems, we show that recursive feasibility of the repeatedly solved optimal control problem and asymptotic stability of the closed-loop switched system can be established if a certain average dwell-time condition is satisfied. If the switching times are unknown a priori and cannot be detected instantly, further application of the MPC controller calculated for the previously active subsystem might result in instability of the newly activated subsystem. It is shown that if the switches can be detected fast enough, then still ultimate boundedness in an arbitrarily small region around the origin can be ensured, i.e., the proposed MPC algorithm is inherently practically robust with respect to small errors in the detection of the switching times.
AB - In this paper, we propose a model predictive control (MPC) algorithm for switched nonlinear systems under average dwell-time switching signals. Assuming that a stabilizing MPC controller exists for each of the subsystems, we show that recursive feasibility of the repeatedly solved optimal control problem and asymptotic stability of the closed-loop switched system can be established if a certain average dwell-time condition is satisfied. If the switching times are unknown a priori and cannot be detected instantly, further application of the MPC controller calculated for the previously active subsystem might result in instability of the newly activated subsystem. It is shown that if the switches can be detected fast enough, then still ultimate boundedness in an arbitrarily small region around the origin can be ensured, i.e., the proposed MPC algorithm is inherently practically robust with respect to small errors in the detection of the switching times.
UR - http://www.scopus.com/inward/record.url?scp=80053159760&partnerID=8YFLogxK
U2 - 10.1109/acc.2011.5990955
DO - 10.1109/acc.2011.5990955
M3 - Conference contribution
AN - SCOPUS:80053159760
SN - 9781457700804
T3 - Proceedings of the American Control Conference
SP - 5169
EP - 5174
BT - Proceedings of the 2011 American Control Conference, ACC 2011
PB - Institute of Electrical and Electronics Engineers Inc.
ER -