Zhong-Qiang Wu and Jian-Ping Xie. Design of Adaptive Robust Guaranteed Cost Controller for Wind Power Generator. International Journal of Automation and Computing, vol. 10, no. 2, pp. 111-117, 2013. https://doi.org/10.1007/s11633-013-0703-3
Citation: Zhong-Qiang Wu and Jian-Ping Xie. Design of Adaptive Robust Guaranteed Cost Controller for Wind Power Generator. International Journal of Automation and Computing, vol. 10, no. 2, pp. 111-117, 2013. https://doi.org/10.1007/s11633-013-0703-3

Design of Adaptive Robust Guaranteed Cost Controller for Wind Power Generator

doi: 10.1007/s11633-013-0703-3
Funds:

This work was supported by Natural Science Foundation of Hebei Province (No. F2012203088).

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  • Corresponding author: Zhong-Qiang Wu
  • Received Date: 2012-07-06
  • Rev Recd Date: 2012-09-03
  • Publish Date: 2013-04-08
  • According to the increasing requirement of the wind energy utilization and the dynamic stability in the variable speed variable pitch wind power generation system, a linear parameter varying (LPV) system model is established and a new adaptive robust guaranteed cost controller (AGCC) is proposed in this paper. First, the uncertain parameters of the system are estimated by using the adaptive method, then the estimated uncertain parameters and robust guaranteed cost control method are used to design a state feedback controller. The controller0s feedback gain is obtained by solving a set of linear matrix inequality (LMI) constraints, such that the controller can meet a quadratic performance evaluation criterion. The simulation results show that we can realize the goal of maximum wind energy capture in low wind speed by the optimal torque control and constant power control in high wind speed by variable pitch control with good dynamic characteristics, robustness and the ability of suppressing disturbance.

     

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  • [1]
    L. Chen, F. L. Ponta, L. I. Lago. Perspectives on innovativeconcepts in wind-power generation. Energy for SustainableDevelopment, vol. 15, no. 4, pp. 398-410, 2011.
    [2]
    A. M. Redha, I. Dincerb, M. Gadalla. Thermodynamic per-formance assessment of wind energy systems: An applica-tion. Energy, vol. 36, no. 7, pp. 4002-4010, 2011.
    [3]
    X. Y. Zhang, J. Wu, J. M. Yang, J. Shu. H-infinity ro-bust control of constant power output for the wind energyconversion system above rated wind. Control Theory andApplications, vol. 25, no. 2, pp. 321-324, 328, 2008. (in Chi-nese)
    [4]
    W. J. Rugh, J. S. Shamma. Research on gain scheduling.Automatica, vol. 36, no. 10, pp. 1401-1425, 2000.
    [5]
    E. A. Yazdi, R. Nagamune. A parameter set division andswitching gain-scheduling controllers design method fortime-varying plants. Systems and Control Letters, vol. 60,no. 12, pp. 1016-1023, 2011.
    [6]
    J. S. Shamma, M. Athans. Guaranteed properties of gainscheduled control for linear parameter-varying plants. Au-tomatica, vol. 27, no. 3, pp. 559-564, 1991.
    [7]
    R. C. L. F. Oliveira, M. C. de Oliveira, P. L. D. Peres.Convergent LMI relaxations for robust analysis of uncertainlinear systems using lifted polynomial parameter-dependentLyapunov functions. Systems and Control Letters, vol. 57,no. 8, pp. 680-689, 2008.
    [8]
    P. Wilczyński. Planar nonautonomous polynomial equa-tions: The Riccati equation. Journal of Differential Equa-tions, vol. 244, no. 6, pp. 1304-1328, 2008.
    [9]
    C. Tayfun. Systematic and effective design of nonlinearfeedback controllers via the state dependent Riccati equa-tion (SDRE) method. Annual Reviews in Control, vol. 34,no. 1, pp. 32-51, 2010.
    [10]
    Y. Q. Lin. A class of iterative methods for solving non-symmetric algebraic Riccati equations arising in transporttheory. Computers and Mathematics with Applications,vol. 56, no. 12, pp. 3046-3051, 2008.
    [11]
    H. Beikzadeh, H. D. Taghirad. Exponential nonlinear ob-server based on the differential state-dependent Riccatiequation. International Journal of Automation and Com-puting, vol. 9, no. 4, pp. 358-368, 2012.
    [12]
    S. Boyd, L. Vandenberghe. Convex Optimization, Cam-bridge: Cambridge University Press, 2004.
    [13]
    A. Karimi, H. Khatibi, R. Longchamp. Robust controlof polytopic systems by convex optimization. Automatica,vol. 43, no. 8, pp. 1395-1402, 2007.
    [14]
    B. Boukhezzar, L. Lupu, H. Siguerdidjan, M. Hand. Multi-variable control strategy for variable speed, variable pitchwind turbines. Renewable Energy, vol. 32, no. 8, pp. 1273-1287, 2007.
    [15]
    Y. X. Shen, Y. Zhu, Z. C. Ji. Variable pitch control for windenergy conversion system with LPV dynamic compensation.Control Theory and Applications, vol. 26, no. 11, pp. 1282-1288, 2009. (in Chinese)
    [16]
    R. D. Zhao, Y. J. Wang, J. S. Zhang. Maximum powerpoint tracking control of the wind energy generation systemwith direct-driven permanent magnet synchronous genera-tors. Proceedings of the CSEE, vol. 29, no. 27, pp. 106-111,2009. (in Chinese)
    [17]
    P. Wilczyński. Planar nonautonomous polynomial equa-tions: The Riccati equation. Journal of Differential Equa-tions, vol. 244, no. 6, pp. 1304-1328, 2008.
    [18]
    J. H. Park. Robust guaranteed cost control for uncertainlinear differential systems of neutral type. Applied Math-ematics and Computation, vol. 140, no. 2-3, pp. 523-535,2003.
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