Details
| Original language | English |
|---|---|
| Pages (from-to) | 1702-1710 |
| Number of pages | 9 |
| Journal | Journal of process control |
| Volume | 22 |
| Issue number | 9 |
| Publication status | Published - Oct 2012 |
| Externally published | Yes |
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, the MPC controller calculated for the previously active subsystem might not be stabilizing for the newly activated subsystem, thus possibly leading to an unstable closed-loop system. 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. Finally, we apply our results to a continuous stirred-tank reactor (CSTR) with two different modes of operation.
Keywords
- Model predictive control, Nonlinear systems, Switched systems
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Mathematics(all)
- Modelling and Simulation
- Computer Science(all)
- Computer Science Applications
- Engineering(all)
- Industrial and Manufacturing Engineering
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In: Journal of process control, Vol. 22, No. 9, 10.2012, p. 1702-1710.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Model predictive control of switched nonlinear systems under average dwell-time
AU - Müller, Matthias A.
AU - Martius, Pascal
AU - Allgöwer, Frank
N1 - Funding Information: This work was supported by the German Research Foundation (DFG) within the Priority Programme 1305 “Control Theory of Digitally Networked Dynamical Systems” and within the Cluster of Excellence in Simulation Technology (EXC 310/1) at the University of Stuttgart.
PY - 2012/10
Y1 - 2012/10
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, the MPC controller calculated for the previously active subsystem might not be stabilizing for the newly activated subsystem, thus possibly leading to an unstable closed-loop system. 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. Finally, we apply our results to a continuous stirred-tank reactor (CSTR) with two different modes of operation.
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, the MPC controller calculated for the previously active subsystem might not be stabilizing for the newly activated subsystem, thus possibly leading to an unstable closed-loop system. 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. Finally, we apply our results to a continuous stirred-tank reactor (CSTR) with two different modes of operation.
KW - Model predictive control
KW - Nonlinear systems
KW - Switched systems
UR - http://www.scopus.com/inward/record.url?scp=84866115014&partnerID=8YFLogxK
U2 - 10.1016/j.jprocont.2012.07.004
DO - 10.1016/j.jprocont.2012.07.004
M3 - Article
AN - SCOPUS:84866115014
VL - 22
SP - 1702
EP - 1710
JO - Journal of process control
JF - Journal of process control
SN - 0959-1524
IS - 9
ER -