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Hamiltonian stabilization additional L 2 adaptive control and its application to hydro turbine generating sets

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Abstract

This study presents a design method for port-controlled Hamiltonian system, in which the nonlinear control is decomposed into the stabilization control at given equilibrium and additional L 2 adaptive control. The stabilization controller includes the simplified object model, which is the internal model controlling the conception expansion in nonlinear case. The errors arising from parameters and modelling are evaluated using the weighing matrix of the penalty function, which simplifies the design procedure of control. The L 2 adaptive control law is feedback control of the output errors with weighting matrix, which is the key character of the adaptive control. The proposed decomposing and simplifying method of the control law can be easily applied to investigate the higher order system. The procedure of control design and the issues associated with the application of control law are demonstrated by taking the hydro turbine generating system as an example. Simulation shows that the proposed method is very stable and robust.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Kunming University of Science and Technology, Kunming, 650500, China

    Yun Zeng & Li-Xiang Zhang

  2. School of Engineering, University of Aberdeen, Aberdeen, AB24 3UE, UK

    Ya-Kun Guo

  3. College of Electric Power Engineering, Kunming University of Science and Technology, Kunming, 650500, China

    Jing Qian

Authors
  1. Yun Zeng
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  2. Li-Xiang Zhang
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  3. Ya-Kun Guo
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  4. Jing Qian
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Corresponding author

Correspondence to Yun Zeng.

Additional information

Recommended by Associate Editor Juhoon Back under the direction of Editor Zengqi Sun.

The work was financially supported by the National Natural Science Foundation of China (51179079, 51469011).

Yun Zeng received his BSc. degree from Kunming University of Science and Technology, MSc and Ph.D. from HoHai University, China in 1985, 1994, and 2008, respectively. From 2010 to 2011, he was a visiting research fellow at Aberdeen University in UK. His research interests include the control of hydro turbine generating sets and the generalized Hamiltonian theory application.

Li-Xiang Zhang received his BSc from Kunming University of Science and Technology, MSc from Wuhai University, and Ph.D. from Harbin Institute of Technology, China in 1983, 1987 and 1999 respectively. From 1994 to 1997, he was a visiting research fellow at Dundee University in UK. His research interests include the nonlinear dynamic and watermachine-electricity interactions for a hydroelectric system.

Ya-Kun Guo received his BSc, MSc and Ph.D. from Sichuan University, China, in 1983, 1986 and 1989, respectively. From 1993, he works in Dundee University and Aberdeen University in UK. His research interests include hydraulics, numerical simulation, and nonlinear dynamics.

Jing Qian received her BSc from Huazhong University of Science and Technology in 1989 and her MSc from Sichuan University, China in 2000, respectively. Her research interests include the stability and control of power systems and the generalized Hamiltonian theory application.

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Zeng, Y., Zhang, LX., Guo, YK. et al. Hamiltonian stabilization additional L 2 adaptive control and its application to hydro turbine generating sets. Int. J. Control Autom. Syst. 13, 867–876 (2015). https://doi.org/10.1007/s12555-013-0460-7

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  • DOI: https://doi.org/10.1007/s12555-013-0460-7

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