Details
| Original language | English |
|---|---|
| Pages (from-to) | 402-409 |
| Number of pages | 8 |
| Journal | AUTOMATICA |
| Volume | 48 |
| Issue number | 2 |
| Publication status | Published - Feb 2012 |
| Externally published | Yes |
Abstract
In this paper, we propose a novel switched model predictive control (MPC) algorithm for nonlinear continuous-time systems, where we switch between different cost functionals in order to enhance performance. Thus, different performance criteria can be taken into account. In order to ensure stability of the resulting closed-loop system, we consider switching signals which exhibit a certain average dwell-time. When considering switching signals of this type, certain assumptions are common in the switched systems literature in order to ensure stability, like a matching condition for the different Lyapunov functions and the possibility to find Lyapunov functions with an exponential decay rate. In this paper, we show how these assumptions can be satisfied in the MPC context and thus stability of the proposed switched MPC algorithm can be established.
Keywords
- Model predictive control, Nonlinear systems, Switching control
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Engineering(all)
- Electrical and Electronic Engineering
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In: AUTOMATICA, Vol. 48, No. 2, 02.2012, p. 402-409.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Improving performance in model predictive control
T2 - Switching cost functionals under average dwell-time
AU - Müller, Matthias A.
AU - Allgwer, Frank
N1 - Funding Information: This work was financially supported by the Priority Programme 1305 “Control Theory of Digitally Networked Dynamical Systems” of the German Research Foundation (DFG) . The authors would like to thank the DFG for financial support of the project within the Cluster of Excellence in Simulation Technology (EXC 310/1) at the University of Stuttgart. This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor Bart De Schutter under the direction of Editor Ian R. Petersen.
PY - 2012/2
Y1 - 2012/2
N2 - In this paper, we propose a novel switched model predictive control (MPC) algorithm for nonlinear continuous-time systems, where we switch between different cost functionals in order to enhance performance. Thus, different performance criteria can be taken into account. In order to ensure stability of the resulting closed-loop system, we consider switching signals which exhibit a certain average dwell-time. When considering switching signals of this type, certain assumptions are common in the switched systems literature in order to ensure stability, like a matching condition for the different Lyapunov functions and the possibility to find Lyapunov functions with an exponential decay rate. In this paper, we show how these assumptions can be satisfied in the MPC context and thus stability of the proposed switched MPC algorithm can be established.
AB - In this paper, we propose a novel switched model predictive control (MPC) algorithm for nonlinear continuous-time systems, where we switch between different cost functionals in order to enhance performance. Thus, different performance criteria can be taken into account. In order to ensure stability of the resulting closed-loop system, we consider switching signals which exhibit a certain average dwell-time. When considering switching signals of this type, certain assumptions are common in the switched systems literature in order to ensure stability, like a matching condition for the different Lyapunov functions and the possibility to find Lyapunov functions with an exponential decay rate. In this paper, we show how these assumptions can be satisfied in the MPC context and thus stability of the proposed switched MPC algorithm can be established.
KW - Model predictive control
KW - Nonlinear systems
KW - Switching control
UR - http://www.scopus.com/inward/record.url?scp=84856217878&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2011.11.005
DO - 10.1016/j.automatica.2011.11.005
M3 - Article
AN - SCOPUS:84856217878
VL - 48
SP - 402
EP - 409
JO - AUTOMATICA
JF - AUTOMATICA
SN - 0005-1098
IS - 2
ER -