Passivity based control of a chemical process in isothermal reactors: Application to enzymatic hydrolysis of cellulose

Authors

Abstract

This paper is exploring the energetic insight in both Mathematical model and Control to simplify the complex character of chemical reactions taking place in reactors. Special interest has been shown to processes at constant temperature and pressure. The Port-Hamiltonian model of network of chemical reactions both in the concentration space and the reaction space followed by the Interconnection and Damping Assignment-Passivity Based Control (IDA-PBC) for open chemical systems is formulated here. Futhermore, application to bioprocess in batch and continuous modes has opened the energetic way of looking in to the modeling and control of such reactions. The technique is applied to model and simulate the control of enzymatic hydrolisis of cellulose in a continuous reactor. Special care has been taken to not look loosely on the physical coherence of a system, hence this paper can be an inspiring alternative to pseudo formulations and artificial control in the domain of biochemical engineering.

Citation

Journal: 2014 IEEE Conference on Control Applications (CCA)
Year: 2014
Volume:
Issue:
Pages: 753–758
Publisher: IEEE
DOI: 10.1109/cca.2014.6981431

BibTeX

@inproceedings{Makkar_2014,
  title={{Passivity based control of a chemical process in isothermal reactors: Application to enzymatic hydrolysis of cellulose}},
  DOI={10.1109/cca.2014.6981431},
  booktitle={{2014 IEEE Conference on Control Applications (CCA)}},
  publisher={IEEE},
  author={Makkar, Mohit and Dieulot, Jean-Yves},
  year={2014},
  pages={753--758}
}

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References

van der Schaft, A., Rao, S. & Jayawardhana, B. On the Mathematical Structure of Balanced Chemical Reaction Networks Governed by Mass Action Kinetics. SIAM J. Appl. Math. 73, 953–973 (2013) – 10.1137/11085431x
roman, Bond graph modelling of awastewater biodegradation bioprocess. IEEE International Conference on Automation and Logistics Shenyang China (2009)
van der Schaft, A. & Maschke, B. A Port-Hamiltonian Formulation of Open Chemical Reaction Networks. Lecture Notes in Control and Information Sciences 339–348 (2010) doi:10.1007/978-3-642-16135-3_27 – 10.1007/978-3-642-16135-3_27
Thoma, J. & Bouamama, B. O. Modelling and Simulation in Thermal and Chemical Engineering. (Springer Berlin Heidelberg, 2000). doi:10.1007/978-3-662-04181-9 – 10.1007/978-3-662-04181-9
Ramirez, H., Maschke, B. & Sbarbaro, D. Irreversible port-Hamiltonian systems: A general formulation of irreversible processes with application to the CSTR. Chemical Engineering Science 89, 223–234 (2013) – 10.1016/j.ces.2012.12.002
Ortega, R., van der Schaft, A., Maschke, B. & Escobar, G. Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica 38, 585–596 (2002) – 10.1016/s0005-1098(01)00278-3
Otero-Muras, I., Szederkényi, G., Alonso, A. A. & Hangos, K. M. Local dissipative Hamiltonian description of reversible reaction networks. Systems & Control Letters 57, 554–560 (2008) – 10.1016/j.sysconle.2007.12.003
Couenne, F., Jallut, C., Maschke, B., Breedveld, P. C. & Tayakout, M. Bond graph modelling for chemical reactors. Mathematical and Computer Modelling of Dynamical Systems 12, 159–174 (2006) – 10.1080/13873950500068823
brown, Bond Graph modeling and simulation of thermodynamic systems. Plenary Session ICBGM Conference (2007)
Alonso, A. A. & Erik Ydstie, B. Process systems, passivity and the second law of thermodynamics. Computers & Chemical Engineering 20, S1119–S1124 (1996) – 10.1016/0098-1354(96)00194-9
Makka, M. & Dieulot, J.-Y. Bond graph model and Port-Hamiltonian formulation of an enzymatic reaction in a CSTR. 2nd International Conference on Systems and Computer Science 68–73 (2013) doi:10.1109/icconscs.2013.6632025 – 10.1109/icconscs.2013.6632025
Gan, Q., Allen, S. J. & Taylor, G. Kinetic dynamics in heterogeneous enzymatic hydrolysis of cellulose: an overview, an experimental study and mathematical modelling. Process Biochemistry 38, 1003–1018 (2003) – 10.1016/s0032-9592(02)00220-0
Eberard, D., Maschke, B. M. & van der Schaft, A. J. An extension of Hamiltonian systems to the thermodynamic phase space: Towards a geometry of nonreversible processes. Reports on Mathematical Physics 60, 175–198 (2007) – 10.1016/s0034-4877(07)00024-9
Dörfler, F., Johnsen, J. K. & Allgöwer, F. An introduction to interconnection and damping assignment passivity-based control in process engineering. Journal of Process Control 19, 1413–1426 (2009) – 10.1016/j.jprocont.2009.07.015
Delgado, M. & Pichardo, C. Use of MATLAB and 20-sim to simulate a flash separator. Simulation Practice and Theory 7, 515–530 (1999) – 10.1016/s0928-4869(99)00016-6
Hoang, N. H. & Dochain, D. On an evolution criterion of homogeneous multi-component mixtures with chemical transformation. Systems & Control Letters 62, 170–177 (2013) – 10.1016/j.sysconle.2012.11.013
Gan, Q., Allen, S. & Taylor, G. Analysis of process integration and intensification of enzymatic cellulose hydrolysis in a membrane bioreactor. J of Chemical Tech & Biotech 80, 688–698 (2005) – 10.1002/jctb.1195