Receding Horizon Adaptive Second-Order Sliding Mode Control for Doubly-Fed Induction Generator Based Wind Turbine

In this paper, a novel adaptive second-order sliding mode technique to optimize the efficiency of certain types of variable-speed wind turbines is developed and analyzed. A revisited form of a recent adaptation algorithm is proposed to deal with the characteristics and control requirements of wind energy conversion systems (WECS), particularly model uncertainties and fast disturbances due to gusty wind effects. The revisited algorithm is based on appropriate receding horizon adaptation time windows rather than on fixed, adjacent, and nonoverlapping ones. This modification, which enhances the reactivity of the adaptation strategy against fast varying uncertainties, represents the main theoretical novelty of this paper. The proposed approach is successfully used to control a doubly fed induction-generator-based wind turbine topology proving its suitability for this application area. The novel adaptive controller is extensively assessed through computer simulations over a full-order realistic model of the WECS under study.

[1]  Yuri B. Shtessel,et al.  Output feedback adaptive twisting control: A Lyapunov design , 2012, 2012 American Control Conference (ACC).

[2]  A. Levant Sliding order and sliding accuracy in sliding mode control , 1993 .

[3]  Yuri Shtessel,et al.  Adaptive dual layer second-order sliding mode control and observation , 2015, 2015 American Control Conference (ACC).

[4]  Antonella Ferrara,et al.  Combined switched/time-based adaptation in second order sliding mode control , 2013, 52nd IEEE Conference on Decision and Control.

[5]  Paul Puleston,et al.  Active and Reactive Power Control for Wind Turbine Based on a MIMO 2-Sliding Mode Algorithm With Variable Gains , 2013, IEEE Transactions on Energy Conversion.

[6]  V. Utkin Variable structure systems with sliding modes , 1977 .

[7]  Yuri B. Shtessel,et al.  Adaptive twist sliding mode control: A Lyapunov design , 2011, IEEE Conference on Decision and Control and European Control Conference.

[8]  Christopher Edwards,et al.  Sliding Mode Control and Observation , 2013 .

[9]  Asif Sabanovic,et al.  Variable structure systems : from Principles to Implementation , 2004 .

[10]  G. Bartolini,et al.  Modern sliding mode control theory : new perspectives and applications , 2008 .

[11]  Christopher Edwards,et al.  Advances in variable structure and sliding mode control , 2006 .

[12]  Giorgio Bartolini,et al.  2-Sliding Mode with Adaptation * , 1999 .

[13]  Yuri B. Shtessel,et al.  A novel adaptive-gain supertwisting sliding mode controller: Methodology and application , 2012, Autom..

[14]  Vadim I. Utkin,et al.  Chattering suppression methods in sliding mode control systems , 2007, Annu. Rev. Control..

[15]  Alessandro Pisano,et al.  Time-based adaptive second order sliding mode controller for wind energy conversion optimization , 2014, 53rd IEEE Conference on Decision and Control.

[16]  Franck Plestan,et al.  Twisting-controller gain adaptation , 2011, IEEE Conference on Decision and Control and European Control Conference.

[17]  I. Erlich,et al.  Modeling of Wind Turbines Equipped with Doubly-Fed Induction Machines for Power System Stability Studies , 2006, 2006 IEEE PES Power Systems Conference and Exposition.

[18]  Y Shtessel,et al.  Adaptive Twisting Sliding Mode Control for the Output Tracking of Time-Delay System , 2012 .

[19]  Wang Cuihong,et al.  Variable Structure Control for Interval Systems , 2006, 2007 Chinese Control Conference.

[20]  Christopher Edwards,et al.  Continuous adaptive finite reaching time control and second-order sliding modes , 2013, IMA J. Math. Control. Inf..

[21]  Yuri B. Shtessel,et al.  Super-twisting adaptive sliding mode control: A Lyapunov design , 2010, 49th IEEE Conference on Decision and Control (CDC).

[22]  Leonid M. Fridman,et al.  Lyapunov-Designed Super-Twisting Sliding Mode Control for Wind Energy Conversion Optimization , 2013, IEEE Transactions on Industrial Electronics.

[23]  Antonella Ferrara,et al.  On second order sliding mode controllers , 1998 .

[24]  Constantine Garcia-Sanz,et al.  Wind Energy Systems: Control Engineering Design , 2012 .

[25]  Leonid M. Fridman,et al.  Variable Gain Super-Twisting Sliding Mode Control , 2012, IEEE Transactions on Automatic Control.

[26]  Arie Levant,et al.  Higher order sliding modes as a natural phenomenon in control theory , 1996 .

[27]  C. Edwards,et al.  Adaptive continuous finite reaching time control and second order sliding modes , 2010, 2010 11th International Workshop on Variable Structure Systems (VSS).

[28]  Arie Levant,et al.  Variable measurement step in 2-sliding control , 2000, Kybernetika.

[29]  Antonella Ferrara,et al.  Second-order Sliding Mode Control with Adaptive Control Authority for the Tracking Control of Robotic Manipulators , 2011 .

[30]  Vadim I. Utkin,et al.  Adaptive sliding mode control with application to super-twist algorithm: Equivalent control method , 2013, Autom..

[31]  Lyapunov design of adaptive super-twisting controller applied to a pneumatic actuator , 2011 .

[32]  Antonella Ferrara,et al.  Time-based switched sliding mode control for yaw rate regulation in two-wheeled vehicles , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[33]  Christopher Edwards,et al.  Dual-layer adaptive sliding mode control , 2014, 2014 American Control Conference.

[34]  Yuri B. Shtessel,et al.  Sliding mode control with gain adaptation—Application to an electropneumatic actuator , 2013 .

[35]  Alessandro Pisano,et al.  Sliding mode control: A survey with applications in math , 2011, Math. Comput. Simul..

[36]  Antonella Ferrara,et al.  On the convergence properties of a 2-sliding control algorithm for non-linear uncertain systems , 2001 .

[37]  Yuri B. Shtessel,et al.  New methodologies for adaptive sliding mode control , 2010, Int. J. Control.