Hierarchical economic NMPC for a class of hybrid systems using neighboring-extremal updates

Inga J. Wolf; Diego Munoz; Moritz Schmitz; Wolfgang Marquardt

doi:10.3182/20120710-4-SG-2026.00080

Hierarchical economic NMPC for a class of hybrid systems using neighboring-extremal updates

Inga J. Wolf
, Diego Munoz
, Moritz Schmitz
, Wolfgang Marquardt

Mathematical Process Optimization

Research output: Chapter in Book/Conference proceeding › Conference and proceedings › peer-review

1 Scopus citations

Abstract

A two-layer control algorithm is developed for a class of hybrid (discrete-continuous dynamic) systems comprising important applications such as the economically optimal operation of recipe-driven batch or continuous processes. On the upper layer, the economic optimal control problem is solved rigorously by a slow controller at a low sampling rate, whereas a fast neighboring-extremal controller updates rather than tracks the optimal trajectories to account for disturbances. Consequently, the process is steered to its operational bounds, while the optimal switching times under disturbances can be determined such that the economic potential of the process is fully exploited anytime.

Original language	English
Title of host publication	8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012
Publisher	IFAC Secretariat
Pages	561-566
Number of pages	6
Volume	45
Edition	15
ISBN (Print)	9783902823052
DOIs	https://doi.org/10.3182/20120710-4-SG-2026.00080
State	Published - 2012
Event	8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012 - Singapore, Singapore Duration: 10 Jul 2012 → 13 Jul 2012

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	PART 1
Volume	8
ISSN (Print)	1474-6670

Conference

Conference	8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012
Country/Territory	Singapore
City	Singapore
Period	10/07/12 → 13/07/12

Bibliographical note

Funding Information:
This research has been partially supported by the German Research Foundation DFG (MA 1188/33-1) and the German Academic Exchange Service DAAD (ALECOL).

Keywords

Dynamic real-time optimization
Economic nonlinear model-predicitive control
Hierarchical control
Hybrid systems
Neighboring-extremal control
Parametric sensitivity analysis
Scheduling

Types Minciencias

Scientific events with a public engagement component

Access to Document

10.3182/20120710-4-SG-2026.00080

Cite this

Wolf, I. J., Munoz, D., Schmitz, M., & Marquardt, W. (2012). Hierarchical economic NMPC for a class of hybrid systems using neighboring-extremal updates. In 8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012 (15 ed., Vol. 45, pp. 561-566). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 8, No. PART 1). IFAC Secretariat. https://doi.org/10.3182/20120710-4-SG-2026.00080

@inproceedings{92a1b43eb18c4233a72518741b5565e0,

title = "Hierarchical economic NMPC for a class of hybrid systems using neighboring-extremal updates",

abstract = "A two-layer control algorithm is developed for a class of hybrid (discrete-continuous dynamic) systems comprising important applications such as the economically optimal operation of recipe-driven batch or continuous processes. On the upper layer, the economic optimal control problem is solved rigorously by a slow controller at a low sampling rate, whereas a fast neighboring-extremal controller updates rather than tracks the optimal trajectories to account for disturbances. Consequently, the process is steered to its operational bounds, while the optimal switching times under disturbances can be determined such that the economic potential of the process is fully exploited anytime.",

keywords = "Dynamic real-time optimization, Economic nonlinear model-predicitive control, Hierarchical control, Hybrid systems, Neighboring-extremal control, Parametric sensitivity analysis, Scheduling, Dynamic real-time optimization, Economic nonlinear model-predicitive control, Hierarchical control, Hybrid systems, Neighboring-extremal control, arametric sensitivity analysis, Scheduling",

author = "Wolf, \{Inga J.\} and Diego Munoz and Moritz Schmitz and Wolfgang Marquardt",

note = "Funding Information: This research has been partially supported by the German Research Foundation DFG (MA 1188/33-1) and the German Academic Exchange Service DAAD (ALECOL).; 8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012 ; Conference date: 10-07-2012 Through 13-07-2012",

year = "2012",

doi = "10.3182/20120710-4-SG-2026.00080",

language = "Ingl{\'e}s",

isbn = "9783902823052",

volume = "45",

series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

publisher = "IFAC Secretariat",

number = "PART 1",

pages = "561--566",

booktitle = "8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012",

edition = "15",

}

Wolf, IJ, Munoz, D, Schmitz, M & Marquardt, W 2012, Hierarchical economic NMPC for a class of hybrid systems using neighboring-extremal updates. in 8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012. 15 edn, vol. 45, IFAC Proceedings Volumes (IFAC-PapersOnline), no. PART 1, vol. 8, IFAC Secretariat, pp. 561-566, 8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012, Singapore, Singapore, 10/07/12. https://doi.org/10.3182/20120710-4-SG-2026.00080

Hierarchical economic NMPC for a class of hybrid systems using neighboring-extremal updates. / Wolf, Inga J.; Munoz, Diego; Schmitz, Moritz et al.
8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012. Vol. 45 15. ed. IFAC Secretariat, 2012. p. 561-566 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 8, No. PART 1).

Research output: Chapter in Book/Conference proceeding › Conference and proceedings › peer-review

TY - GEN

T1 - Hierarchical economic NMPC for a class of hybrid systems using neighboring-extremal updates

AU - Wolf, Inga J.

AU - Munoz, Diego

AU - Schmitz, Moritz

AU - Marquardt, Wolfgang

N1 - Funding Information: This research has been partially supported by the German Research Foundation DFG (MA 1188/33-1) and the German Academic Exchange Service DAAD (ALECOL).

PY - 2012

Y1 - 2012

N2 - A two-layer control algorithm is developed for a class of hybrid (discrete-continuous dynamic) systems comprising important applications such as the economically optimal operation of recipe-driven batch or continuous processes. On the upper layer, the economic optimal control problem is solved rigorously by a slow controller at a low sampling rate, whereas a fast neighboring-extremal controller updates rather than tracks the optimal trajectories to account for disturbances. Consequently, the process is steered to its operational bounds, while the optimal switching times under disturbances can be determined such that the economic potential of the process is fully exploited anytime.

AB - A two-layer control algorithm is developed for a class of hybrid (discrete-continuous dynamic) systems comprising important applications such as the economically optimal operation of recipe-driven batch or continuous processes. On the upper layer, the economic optimal control problem is solved rigorously by a slow controller at a low sampling rate, whereas a fast neighboring-extremal controller updates rather than tracks the optimal trajectories to account for disturbances. Consequently, the process is steered to its operational bounds, while the optimal switching times under disturbances can be determined such that the economic potential of the process is fully exploited anytime.

KW - Dynamic real-time optimization

KW - Economic nonlinear model-predicitive control

KW - Hierarchical control

KW - Hybrid systems

KW - Neighboring-extremal control

KW - Parametric sensitivity analysis

KW - Scheduling

KW - Dynamic real-time optimization

KW - Economic nonlinear model-predicitive control

KW - Hierarchical control

KW - Hybrid systems

KW - Neighboring-extremal control

KW - arametric sensitivity analysis

KW - Scheduling

UR - https://www.scopus.com/pages/publications/84867064669

U2 - 10.3182/20120710-4-SG-2026.00080

DO - 10.3182/20120710-4-SG-2026.00080

M3 - Ponencia publicada en las memorias del evento con ISBN

AN - SCOPUS:84867064669

SN - 9783902823052

VL - 45

T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

SP - 561

EP - 566

BT - 8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012

PB - IFAC Secretariat

T2 - 8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012

Y2 - 10 July 2012 through 13 July 2012

ER -

Hierarchical economic NMPC for a class of hybrid systems using neighboring-extremal updates

Abstract

Publication series

Conference

Bibliographical note

Keywords

Types Minciencias

Access to Document

Fingerprint

Cite this