LMI-Based Discrete-Time Nonlinear State Observer for an Anaerobic Digestion Model

Chaib Draa, Khadidja; Voos, Holger; Alma, Marouane; Zemouche, Ali; Darouach, Mohamed

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LMI-Based Discrete-Time Nonlinear State Observer for an Anaerobic Digestion Model

Chaib Draa, Khadidja; Voos, Holger; Alma, Marouane et al.

2017 • In IEEE International Conference on Systems and Control, Batna 7-9 May 2017

Peer reviewed

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https://hdl.handle.net/10993/32191

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Keywords :

Control Engineering; observer design

Abstract :

[en] This paper deals with the design of a discrete time nonlinear observer for an anaerobic digestion process. The designed observer is devoted to a general class of systems, precisely linear systems, LPV systems with known and bounded parameters, and nonlinear Lipschitz systems. In order to ensure stability of the estimation error, a new LMI condition is proposed. In this LMI, additional decision variables are included to enhance its feasibility. Indeed, this was possible due to the use of a suitable reformulation of the Young’s inequality. Numerical simulations using the investigated two-step anaerobic digestion model show the effectiveness of the proposed LMI methodology.

Disciplines :

Electrical & electronics engineering

Author, co-author :

Chaib Draa, Khadidja ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit

Voos, Holger ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)

Alma, Marouane

Zemouche, Ali

Darouach, Mohamed

External co-authors :

yes

Language :

English

Title :

LMI-Based Discrete-Time Nonlinear State Observer for an Anaerobic Digestion Model

Publication date :

May 2017

Event name :

IEEE International Conference on Systems and Control (ICSC 2017)

Event date :

from 07-05-2017 to 09-05-2017

Main work title :

IEEE International Conference on Systems and Control, Batna 7-9 May 2017

Peer reviewed :

Peer reviewed

Available on ORBilu :

since 12 September 2017

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Bibliography

Arcak, M., Kokotovic, P., Observer-based control of systems with slope-restricted nonlinearities. IEEE Transactions on Automatic Control 46:7 (2001), 1146–1150.
Bastin, G., Dochain, D., On-line Estimation and Adaptive Control of Bioreactors. Process Measurement and Control, 1990, Elsevier.
Bernard, O., Gouzé J., Closed loop observers bundle for uncertain biotechnological models. Journal of Process Control 14:7 (2004), 765–774.
Rocha-Cozatl, E., Sbarciog, M., Wouwer, A.V.L.D.J.M.J., State and input estimation of an anaerobic digestion reactor using a continuous-discrete unknown input observer. IFAC-PapersOnLine 48:8 (2015), 129–134.
Haugen, F., Lie, B.R.B., State estimation and model-based control of a pilot anaerobic digestion reactor. Journal of Control Science and Engineering, 2014, 2014, 3.
Gauthier, J., Hammouri, H., Othman, S., A simple observer for nonlinear systems applications to bioreactors. IEEE Transactions on Automatic Control 37:6 (1992), 875–880.
Chaib Draa, K., Voos, M.D.H., Alma, M., A formal modeling framework for anaerobic digestion systems. In Proceedings of the 2015 17th UKSIM-AMSS International Conference on Modelling and Simulation, 426 –431, 2015, IEEE Computer Society.
Kravaris, C., Hahn, J., Chu, Y., Advances and selected recent ddevelopments in state and parameter estimation. Computers and Chemical Engineering 51 (2013), 111–123.
L. Yu, P.C Wensel, J.M. and Chen, S. (2013). Mathematical modeling in anaerobic digestion (ad). Journal of Bioremediation & Biodegradation, 2014.
Farza, M., Hammouri, H., Busawon, K.S.O., Nonlinear observers for parameter estimation in bio-processes. Chemical Engineering Science 52:23 (1997), 4251–4267.
Lombardi, M., Laurent, P.K.F., Implementation of observer for on-line estimation of concentration in continuous-stirred membrane bioreactor: Application to the fermentation of lactose. Chemical Engineering Science 54:13 (1999), 2689–2696.
Bernard, O., Hadj-Sadok, Z., Steyer, J.D.D.A.G., Dynamical model development and parameter identification for an anaerobic wastewater treatment process. Biotechnology and bioengineering 75:4 (2001), 424–438.
Zemouche, A., Rajamani, R., Boulkroune, B., Rafaralahy, H., Zasadzinski, M., Convex optimization based dual gain observer design for Lipschitz nonlinear systems. In IEEE American Control Conference, 2016, Boston, MA, USA.