DAMPING INJECTION CONTROL OF WINDING SYSTEMS BASED ON PORT CONTROLLED HAMILTONIAN SYSTEMS
Authors
Fouad Mokhtari, Pierre Sicard, Nicolas Léchevin
Abstract
In web and metal sheet processing systems and winders, flexibility of the web is a source of vibrations and resonance amongst motor drives. Port-Controlled Hamiltonian with Dissipation (PCHD) modelling is considered to develop stabilization strategies with a physical interpretation and motivation of the control action. A web transport system is modelled as a PCHD system and the control action is defined to obtain asymptotically stable operating points for the controlled system by a passivity argument. The controller negative output feedback gain matrix is interpreted as the realization of virtual dampers added to the system.
Keywords
Multimachine; Interaction mechanism; Interconnexion matrices; Transient oscillations; Damping; Disturbance rejection; Transient energy transfers
Citation
- Journal: IFAC Proceedings Volumes
- Year: 2007
- Volume: 40
- Issue: 11
- Pages: 243–248
- Publisher: Elsevier BV
- DOI: 10.3182/20070821-3-ca-2919.00036
- Note: 12th IFAC Symposium on Automation in Mining, Mineral and Metal Processing
BibTeX
@article{Mokhtari_2007,
title={{DAMPING INJECTION CONTROL OF WINDING SYSTEMS BASED ON PORT CONTROLLED HAMILTONIAN SYSTEMS}},
volume={40},
ISSN={1474-6670},
DOI={10.3182/20070821-3-ca-2919.00036},
number={11},
journal={IFAC Proceedings Volumes},
publisher={Elsevier BV},
author={Mokhtari, Fouad and Sicard, Pierre and Léchevin, Nicolas},
year={2007},
pages={243--248}
}
References
- Åström, (2000)
- Geddes, E. J. M. & Postlethwaite, I. Improvements in product quality in tandem cold rolling using robust multivariable control. IEEE Trans. Contr. Syst. Technol. 6, 257–269 (1998) – 10.1109/87.664192
- Inman, (1989)
- Seok Ho Jeon, Jang-Mok Kim, Kyung-Chul Jung, Sul, S.-K. & Jin Young Choi. Decoupling control of bridle rolls for steel mill drive system. IEEE Trans. on Ind. Applicat. 35, 119–125 (1999) – 10.1109/28.740855
- Koc, H., Knittel, D., de Mathelin, M. & Abba, G. Modeling and robust control of winding systems for elastic webs. IEEE Trans. Contr. Syst. Technol. 10, 197–208 (2002) – 10.1109/87.987065
- Laroche, E., Koc, H., Knittel, D. & De Mathelin, M. Web winding system robustness analysis via μ-analysis. Proceedings of the 2001 IEEE International Conference on Control Applications (CCA’01) (Cat. No.01CH37204) 948–953 doi:10.1109/cca.2001.973992 – 10.1109/cca.2001.973992
- Macchelli, (2004)
- Ortega, R., Spong, M. W., Gomez-Estern, F. & Blankenstein, G. Stabilization of a class of underactuated mechanical systems via interconnection and damping assignment. IEEE Trans. Automat. Contr. 47, 1218–1233 (2002) – 10.1109/tac.2002.800770
- Pagilla, P. R., Siraskar, N. B. & Dwivedula, R. V. Decentralized Control of Web Processing Lines. IEEE Trans. Contr. Syst. Technol. 15, 106–117 (2007) – 10.1109/tcst.2006.883345
- Sepulchre, (1999)
- Shin, (2000)
- Thiffault, C., Sicard, P. & Bouscayrol, A. Desensitization to voltage sags of a rewinder by using an active dancer roll for tension control. IEEE International Conference on Electric Machines and Drives, 2005. 466–473 (2005) doi:10.1109/iemdc.2005.195764 – 10.1109/iemdc.2005.195764
- van der Schaft, (2000)
- Wang, C., Wang, Y., Yang, R. & Lu, H. Research on Precision Tension Control System Based on Neural Network. IEEE Trans. Ind. Electron. 51, 381–386 (2004) – 10.1109/tie.2003.822096
- Yuzhen Wang, Daizhan Cheng, Chunwen Li & You Ge. Dissipative hamiltonian realization and energy-based L/sub 2/-disturbance attenuation control of multimachine power systems. IEEE Trans. Automat. Contr. 48, 1428–1433 (2003) – 10.1109/tac.2003.815037
- Zairong Xi, Feng, G., Daizhan Cheng & Qiang Lu. Nonlinear decentralized saturated controller design for power systems. IEEE Trans. Contr. Syst. Technol. 11, 539–547 (2003) – 10.1109/tcst.2003.813404