Tracking controller design methodology for passive port-controlled Hamiltonians with application to type-2 STATCOM systems
Authors
null Yonghao Gui, null Dong Eui Chang, null Chung Choo Chung
Abstract
We propose a general framework for the exponentially stable tracking controller design for passive port-controlled Hamiltonian systems with a single input and a single output. We use the Dynamic Extension Algorithm to the system. The dynamic extended system becomes an input affine system so that the tracking controller is obtained in input-output linearization framework. The tracking control law is generated considering the stability and performance of the input output linearized dynamics. We apply it to a static synchronous compensator (STATCOM) system, which is not an input affine system. We make a dynamic extension of the STATCOM system to conveniently design a reference output and then put the dynamics into the form of port-controlled Hamiltonian to apply the proposed tracking controller. Simulation results show that the proposed method improves the transient performance of the system over the previous results even in the lightly damped operating range.
Citation
- Journal: 52nd IEEE Conference on Decision and Control
- Year: 2013
- Volume:
- Issue:
- Pages: 1653–1658
- Publisher: IEEE
- DOI: 10.1109/cdc.2013.6760119
BibTeX
@inproceedings{Yonghao_Gui_2013,
title={{Tracking controller design methodology for passive port-controlled Hamiltonians with application to type-2 STATCOM systems}},
DOI={10.1109/cdc.2013.6760119},
booktitle={{52nd IEEE Conference on Decision and Control}},
publisher={IEEE},
author={Yonghao Gui and Dong Eui Chang and Chung Choo Chung},
year={2013},
pages={1653--1658}
}
References
- Lee, Y. O. & Chung, C. C. Uniform output regulation via approximated input–output linearisation for lightly damped internal dynamics. International Journal of Control 86, 159–171 (2013) – 10.1080/00207179.2012.721565
- schauder, Advanced static var compensator control system (1994)
- slotine, Applied nonlinear control (1991)
- Lee, Y. O., Han, Y. & Chung, C. C. Output tracking control with enhanced damping of internal dynamics and its output boundedness for static synchronous compensator system. IET Control Theory Appl. 6, 1445–1455 (2012) – 10.1049/iet-cta.2011.0340
- Han, Y., Lee, Y. O. & Chung, C. C. Modified non-linear damping of internal dynamics via feedback linearisation for static synchronous compensator. IET Gener. Transm. Distrib. 5, 930–940 (2011) – 10.1049/iet-gtd.2010.0551
- Gui, Y., Lee, Y. O., Han, Y., Kim, W. & Chung, C. C. Passivity-based control with nonlinear damping for STATCOM system. 2012 IEEE 51st IEEE Conference on Decision and Control (CDC) 1715–1720 (2012) doi:10.1109/cdc.2012.6425928 – 10.1109/cdc.2012.6425928
- Schauder, C. & Mehta, H. Vector analysis and control of advanced static VAR compensators. IEE Proc. C Gener. Transm. Distrib. UK 140, 299 (1993) – 10.1049/ip-c.1993.0044
- Petitclair, P., Bacha, S. & Ferrieux, J.-P. Optimized linearization via feedback control law for a STATCOM. IAS ’97. Conference Record of the 1997 IEEE Industry Applications Conference Thirty-Second IAS Annual Meeting vol. 2 880–885 – 10.1109/ias.1997.628965
- 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
- Ortega, R., Liu, Z. & Su, H. Control via interconnection and damping assignment of linear time-invariant systems: a tutorial. International Journal of Control 85, 603–611 (2012) – 10.1080/00207179.2012.660734
- Cervera, J., van der Schaft, A. J. & Baños, A. Interconnection of port-Hamiltonian systems and composition of Dirac structures. Automatica 43, 212–225 (2007) – 10.1016/j.automatica.2006.08.014
- Isidori, A. Nonlinear Control Systems. Communications and Control Engineering (Springer London, 1995). doi:10.1007/978-1-84628-615-5 – 10.1007/978-1-84628-615-5
- sira-ramirez, Control Design Techniques in Power Electronics Devices (2006)
- Chang, D. E., Bloch, A. M., Leonard, N. E., Marsden, J. E. & Woolsey, C. A. The Equivalence of Controlled Lagrangian and Controlled Hamiltonian Systems. ESAIM: COCV 8, 393–422 (2002) – 10.1051/cocv:2002045
- Rodriguez, H., Ortega, R., Escobar, G. & Barabanov, N. A robustly stable output feedback saturated controller for the boost DC-to-DC converter. Systems & Control Letters 40, 1–8 (2000) – 10.1016/s0167-6911(99)00113-9
- Ortega, R. & García-Canseco, E. Interconnection and Damping Assignment Passivity-Based Control: A Survey. European Journal of Control 10, 432–450 (2004) – 10.3166/ejc.10.432-450
- Chang, D. E. The Method of Controlled Lagrangians: Energy plus Force Shaping. SIAM J. Control Optim. 48, 4821–4845 (2010) – 10.1137/070691310
- Chang, D. E. Generalization of the IDA-PBC method for stabilization of mechanical systems. 18th Mediterranean Conference on Control and Automation, MED’10 226–230 (2010) doi:10.1109/med.2010.5547672 – 10.1109/med.2010.5547672