TY - GEN
T1 - Receding horizon optimal control of Wiener systems by application of an asymmetric cost function
AU - Alberer, Daniel
AU - Kirchsteiger, Harald
AU - Del Re, Luigi
AU - Ferreau, Hans Joachim
AU - Diehl, Moritz
N1 - Funding Information:
The authors gratefully thank the ACCM Austrian Center of Competence in Mechatronics, Hoerbiger Compression Technology and the Pipeline Research Council International (PRCI), which financially supported the work. The fourth author holds a PhD fellowship of the research foundation – Flanders (FWO). Research of the last two authors has also been supported by Research Council KUL: CoE EF/05/006 Optimization in Engineering Center (OPTEC), and by Belgian Federal Science Policy Office: UAP P6/04 (Dynamical systems, control and optimization, 2007-2011).
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2009
Y1 - 2009
N2 - Wiener models are an important class of nonlinear systems which well approximate many applications. Real time optimal control of Wiener models, for instance in the form of receding horizon optimal control, can be done using the nonlinear setup and corresponding nonlinear optimization tools. However, as this paper shows, under rather mild conditions on the static nonlinearity, it is possible to reformulate the optimal control problem as a linear problem with an asymmetric cost function, whose solution can be computed using a slack variable extension of the initial quadratic problem with a small additional computational cost. This paper shows the approach and the achievable performance at the example of the emission control of a large gas engine used in the U.S. pipeline network.
AB - Wiener models are an important class of nonlinear systems which well approximate many applications. Real time optimal control of Wiener models, for instance in the form of receding horizon optimal control, can be done using the nonlinear setup and corresponding nonlinear optimization tools. However, as this paper shows, under rather mild conditions on the static nonlinearity, it is possible to reformulate the optimal control problem as a linear problem with an asymmetric cost function, whose solution can be computed using a slack variable extension of the initial quadratic problem with a small additional computational cost. This paper shows the approach and the achievable performance at the example of the emission control of a large gas engine used in the U.S. pipeline network.
KW - Asymmetric cost function
KW - Receding horizon optimal control
KW - Slack variables
KW - Wiener model
UR - http://www.scopus.com/inward/record.url?scp=79960963390&partnerID=8YFLogxK
U2 - 10.3182/20090506-3-sf-4003.00050
DO - 10.3182/20090506-3-sf-4003.00050
M3 - Conference contribution
AN - SCOPUS:79960963390
SN - 9783902661425
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 269
EP - 274
BT - CAO'09 - IFAC Workshop on Control Applications of Optimization, Proceedings
PB - IFAC Secretariat
ER -