Robust H ∞ Dynamic Output Feedback Control Synthesis With Pole Placement Constraints for Offshore Wind Turbine Systems

In this paper, the problem of robustH∞ dynamic output feedback control design with pole placement constraints is studied for a linear parameter-varying model of a floating wind turbine. A nonlinear model is obtained and linearized using the FAST software developed for wind turbines. The main contributions of this paper are threefold. Firstly, a family of linear models are represented based on an affine parameter-varying model structure for a wind turbine system. Secondly, the bounded parameter-varying parameters are removed using upper bounded inequalities in the control design process. Thirdly, the control problem is formulated in terms of linear matrix inequalities (LMIs). The simulation results show a comparison between controller design based on a constant linear model and a controller design for the linear parameter-varying model. The results show the effectiveness of our proposed design technique.

[1]  R. Cresap,et al.  Northwest Power Pool Transient Stability and Load Shedding Controls for Generation-Load Imbalances , 1981, IEEE Transactions on Power Apparatus and Systems.

[2]  M Maarten Steinbuch,et al.  Optimal Output Feedback of a Wind Energy Conversion System , 1988 .

[3]  M Maarten Steinbuch.  OPTIMAL OUTPUT FEEDBACK OF A WIND ENERGY CONVERSION SYSTEM , 1989 .

[4]  P. Khargonekar,et al.  Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory , 1990 .

[5]  Carsten W. Scherer,et al.  Multi-Objective Output-Feedback Control via LMI Optimization , 1996 .

[6]  C. Scherer,et al.  Multiobjective output-feedback control via LMI optimization , 1997, IEEE Trans. Autom. Control..

[7]  Y. D. Song,et al.  Variable speed control of wind turbines using nonlinear and adaptive algorithms , 2000 .

[8]  Paul Puleston,et al.  An adaptive feedback linearization strategy for variable speed wind energy conversion systems , 2000 .

[9]  Gordon Lightbody,et al.  Adaptive Control of Variable Speed Wind Turbines , 2001 .

[10]  Johan Löfberg,et al.  YALMIP : a toolbox for modeling and optimization in MATLAB , 2004 .

[11]  R. Rocha,et al.  Optimal Multivariable Control for Wind Energy Conversion System - A comparison between H2and H∞controllers , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[12]  Zidong Wang,et al.  H∞ filtering for nonlinear discrete-time stochastic systems with randomly varying sensor delays , 2009, Autom..

[13]  B. Jonkman.  Turbsim User's Guide: Version 1.50 , 2009 .

[14]  J. Jonkman,et al.  Definition of a 5-MW Reference Wind Turbine for Offshore System Development , 2009 .

[15]  Zidong Wang,et al.  Robust Hinfinity finite-horizon filtering with randomly occurred nonlinearities and quantization effects , 2010, Autom..

[16]  Zidong Wang,et al.  RobustH∞ Finite-HorizonFilteringwithRandomly OccurredNonlinearitiesandQuantizationEffects ⋆ , 2010 .

[17]  Huijun Gao,et al.  Robust $H_{\infty}$ Filtering for a Class of Nonlinear Networked Systems With Multiple Stochastic Communication Delays and Packet Dropouts , 2010, IEEE Transactions on Signal Processing.

[18]  Daniel W. C. Ho,et al.  Robust ${\cal H}_{\infty}$ Finite-Horizon Control for a Class of Stochastic Nonlinear Time-Varying Systems Subject to Sensor and Actuator Saturations , 2010, IEEE Transactions on Automatic Control.

[19]  Andrew Kusiak,et al.  Dynamic control of wind turbines , 2010 .

[20]  Daniel W. C. Ho,et al.  Robust $H_{\infty }$ Fuzzy Output-Feedback Control With Multiple Probabilistic Delays and Multiple Missing Measurements , 2010, IEEE Transactions on Fuzzy Systems.

[21]  Joao P. S. Catalao,et al.  Comparative study of power converter topologies and control strategies for the harmonic performance of variable-speed wind turbine generator systems , 2011 .

[22]  Hamid Reza Karimi.  Wavelet-Based Optimal Control of a Wind Turbine System: A Computational Approach , 2011 .

[23]  Hamid Reza Karimi,et al.  Control Design Methodologies for Vibration Mitigation on Wind Turbine Systems , 2011 .

[24]  Hamid Reza Karimi,et al.  Robust output feedback ℌ∞ control synthesis with pole placement for offshore wind turbine system: An LMI approach , 2012, 2012 IEEE International Conference on Control Applications.

[25]  Hamid Reza Karimi,et al.  Gain Scheduling For Output H8 Control of Offshore Wind Turbine , 2012 .

[26]  H. R. Karimi,et al.  Mixed H2/H∞ control design for wind turbine system with pole placement constraints , 2012, Proceedings of the 31st Chinese Control Conference.

[27]  Andrew Kusiak,et al.  Control of wind turbine power and vibration with a data-driven approach , 2012 .

[28]  R. Rocha,et al.  Optimal Multivariable Control for Wind Energy Conversion SystemA comparison between H 2 and H ∞ controllers , .