Uncertain Saturated Discrete‐Time Sliding Mode Control for A Wind Turbine Using A Two‐Mass Model

The aim of this paper is to propose a new design variable speed wind turbine control by discrete-time sliding mode approach. The control objective is to obtain a maximum extraction of wind energy, while reducing mechanical loads and rotor speed tracking combined with an electromagnetic torque. For this application, we designed a discrete time sliding mode control using the equivalent discrete time reaching law. Furthermore, a systematic and improved design procedure for uncertainties discrete-time sliding mode control (SMC) with saturation problem is provided in this paper. The saturation constraint is reported on inputs vector. LMI technique and polytopic models are used in the design of the switching surface. To achieve some performance requirements and good robustness, in the sliding mode, the pole clustering method is investigated. Based on the unit vector control approach, a robust control is developed, then, to direct and maintain the system states onto the sliding manifold in finite time. Finally, a systematic design procedure for DSMC required to achieve a given performance level is provided and its effectiveness is varied by applying it to variable speed wind turbine systems.

[1]  Zongli Lin,et al.  An output feedback /spl Hscr//sub /spl infin// controller design for linear systems subject to sensor nonlinearities , 2003 .

[2]  Han Ho Choi,et al.  LMI-based Sliding Mode Speed Tracking Control Design for Surface-mounted Permanent Magnet Synchronous Motors , 2012 .

[3]  Brandon Stark,et al.  Fractional-order adaptive minimum energy cognitive lighting control strategy for the hybrid lighting system , 2015 .

[4]  Driss Mehdi,et al.  Experimental Implementation of New Sliding Mode Control Law applied To a DC–DC Boost Converter , 2016 .

[5]  Y. Chen,et al.  Adaptive fractional-order switching-type control method design for 3D fractional-order nonlinear systems , 2015 .

[6]  Chee Wei Tan,et al.  A review of maximum power point tracking algorithms for wind energy systems , 2012 .

[7]  Hong Chen,et al.  Moving horizon h ∞ control of variable speed wind turbines with actuator saturation , 2014 .

[8]  Kyung-Soo Kim,et al.  Designing robust sliding hyperplanes for parametric uncertain systems: a Riccati approach , 2000, Autom..

[9]  Masami Saeki,et al.  Anti‐windup synthesis for a model predictive control system , 2016 .

[10]  Guang-Ren Duan,et al.  An improved treatment of saturation nonlinearity with its application to control of systems subject to nested saturation , 2011, Autom..

[11]  Zongli Lin,et al.  An analysis and design method for linear systems under nested saturation , 2003, Syst. Control. Lett..

[12]  Haibo Ji,et al.  Robust control for spacecraft rendezvous with disturbances and input saturation , 2015 .

[13]  Chaoyang Dong,et al.  Anti‐windup design for uncertain nonlinear systems subject to actuator saturation and external disturbance , 2016 .

[14]  Tingshu Hu,et al.  Control Systems with Actuator Saturation: Analysis and Design , 2001 .

[15]  Christopher Edwards,et al.  Sliding-Mode Output-Feedback Control Based on LMIs for Plants With Mismatched Uncertainties , 2009, IEEE Transactions on Industrial Electronics.

[16]  Sophie Tarbouriech,et al.  Stability analysis and stabilization of systems presenting nested saturations , 2006, IEEE Transactions on Automatic Control.

[17]  Leonid M. Fridman,et al.  Dynamic switching surfaces for output sliding mode control: An Hinfinity approach , 2011, Autom..

[18]  Karl Henrik Johansson,et al.  Actuator saturation and anti-windup compensation in event-triggered control , 2012, Discrete Event Dynamic Systems.

[19]  Shouming Zhong,et al.  Fractional-order sliding mode based extremum seeking control of a class of nonlinear systems , 2014, Autom..

[20]  T. Ekelund,et al.  Modeling and control of variable-speed wind-turbine drive-system dynamics , 1995 .

[21]  Christopher Edwards.  A practical method for the design of sliding mode controllers using linear matrix inequalities , 2004, Autom..

[22]  Yuechao Ma,et al.  Passive control for singular time-delay system with actuator saturation , 2016, Appl. Math. Comput..

[23]  Liang Jin,et al.  Absolute stability conditions for discrete-time recurrent neural networks , 1994, IEEE Trans. Neural Networks.

[24]  Jungwon Yoon,et al.  Power capture optimization of variable-speed wind turbines using an output feedback controller , 2016 .

[25]  Chitralekha Mahanta,et al.  Chattering free adaptive multivariable sliding mode controller for systems with matched and mismatched uncertainty. , 2013, ISA transactions.

[26]  Debashisha Jena,et al.  Validation of an integral sliding mode control for optimal control of a three blade variable speed variable pitch wind turbine , 2015 .

[27]  Yuanqing Xia,et al.  Robust adaptive sliding mode control for uncertain time-delay systems , 2006, 2006 American Control Conference.

[28]  Jun Zhao,et al.  Stability Analysis and Design of Uncertain Discrete-time Switched Systems with Actuator Saturation Using Antiwindup and Multiple Lyapunov Functions Approach , 2017 .

[29]  H. Momeni,et al.  Fractional terminal sliding mode control design for a class of dynamical systems with uncertainty , 2012 .

[30]  Leang-San Shieh,et al.  State-space digital pi controller design for linear stochastic multivariable systems with input delay , 2008 .

[31]  M. Khosrowjerdi,et al.  Robust Sliding Mode Control Design for Mismatched Uncertain Systems with a Gℋ2/ℋ∞ Performance , 2015 .

[32]  Han Ho Choi,et al.  An Explicit Formula of Linear Sliding Surfaces for a Class of Uncertain Dynamic Systems with Mismatched Uncertainties , 1998, Autom..

[33]  Chieh-Chuan Feng,et al.  Robust control design based-on integral sliding-mode for systems with norm-bounded uncertainties , 2011, 2011 11th International Conference on Control, Automation and Systems.

[34]  T Senjyu,et al.  A Coordinated Control Method to Smooth Wind Power Fluctuations of a PMSG-Based WECS , 2011, IEEE Transactions on Energy Conversion.

[35]  Sara Dadras,et al.  An Improved Maximum Power Point Tracking Based on Fractional Order Extremum Seeking Control in Grid-Connected Photovoltaic (PV) Systems , 2013 .