Stabilizing Winding Systems by Injection Damping Control Based on Controlled Hamiltonian Systems
Authors
Fouad Mokhtari, Pierre Sicard, Nicolas Lechevin
Abstract
In continuous processing plants, flexibility of the web is a source of vibrations and resonance amongst motor drives and thus reduces the product quality. Port-controlled Hamiltonian with dissipation (PCHD) modeling is considered to develop stabilization strategies with a physical interpretation and motivation of the control action. A web transport system is modeled 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. Structural analysis is used both for controller tuning and to define damping matrices to generate a master-slave-like structure.
Citation
- Journal: 2007 IEEE International Electric Machines & Drives Conference
- Year: 2007
- Volume:
- Issue:
- Pages: 95–100
- Publisher: IEEE
- DOI: 10.1109/iemdc.2007.383559
BibTeX
@inproceedings{Mokhtari_2007,
title={{Stabilizing Winding Systems by Injection Damping Control Based on Controlled Hamiltonian Systems}},
DOI={10.1109/iemdc.2007.383559},
booktitle={{2007 IEEE International Electric Machines & Drives Conference}},
publisher={IEEE},
author={Mokhtari, Fouad and Sicard, Pierre and Lechevin, Nicolas},
year={2007},
pages={95--100}
}
References
- Inman, D. J. Vibration with Control. (2006) doi:10.1002/0470010533 – 10.1002/0470010533
- shin, Tension Control (2000)
- macchelli, Port Hamiltonian Systems, A unified approach for modeling and control finite and infinite dimensional physical systems. (2004)
- hatch, Vibration Simulation Using MATLAB and ANSYS (2001)
- 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
- gentili, Robust, Nonlinear Regulation of Mechanical and Electromechanical Systems. (2004)
- (0)
- 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
- 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
- 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
- charlemagne, Mode?lisation et commande d’un syste?me de transport de bande textile, Application des concepts multi machines. (2003)
- a?stro?m, Control of Complex System (2000)
- maschke, Port-controlled Hamiltonian systems: Modelling origins and system theoretic properties. Proc IFAC Nonlinear Control Systems Design Symp NOLCOS (1992)
- 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
- 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, Web Winding System Robustness Analysis Via u-Analysis. Proc IEEE Int Conf Contr Applicat (2001)
- 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
- (0)