A Real-Time SOSM Super-Twisting Technique for a Compound DC Motor Velocity Controller

In this paper, a real-time robust closed-loop control scheme for controlling the velocity of a Direct Current (DC) motor in a compound connection is proposed. This scheme is based on the state-feedback linearization technique combined with a second-order sliding mode algorithm, named super-twisting, for stabilizing the system and achieving control goals. The control law is designed to track a periodic square reference signal, being one of the most severe tests applied to closed-loop systems. The DC motor drives a squirrel-cage induction generator which represents the load; this generator must work above the synchronous velocity to deliver the generated power towards the grid. A classical proportional-integral (PI) controller is designed for comparison purposes of the time-domain responses with the proposed second-order sliding mode (SOSM) super-twisting controller. This robust controller uses only a velocity sensor, as is the case of the PI controller, as the time derivative of the velocity tracking variable is estimated via a robust differentiator. Therefore, the measurements of field current and stator current, the signal from a load torque observer, and machine parameters are not necessary for the controller design. The validation and robustness test of the proposed controller is carried out experimentally in a laboratory, where the closed-loop system is subject to an external disturbance and a time-varying tracking signal. This test is performed in real time using a workbench consisting of a DC motor—Alternating Current (AC) generator group, a DC/AC electronic drive, and a dSPACE 1103 controller board.

[1]  Jaime A. Moreno,et al.  A Lyapunov approach to second-order sliding mode controllers and observers , 2008, 2008 47th IEEE Conference on Decision and Control.

[2]  A. Levant Robust exact differentiation via sliding mode technique , 1998 .

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

[4]  Herman Castañeda,et al.  Observer-based adaptive super twisting control strategy for a 2-DOF Helicopter , 2013, 2013 International Conference on Unmanned Aircraft Systems (ICUAS).

[5]  Vadim I. Utkin,et al.  On Convergence Time and Disturbance Rejection of Super-Twisting Control , 2013, IEEE Transactions on Automatic Control.

[6]  Vadim I. Utkin,et al.  Sliding mode control in electromechanical systems , 1999 .

[7]  Alexander G. Loukianov,et al.  Discrete-Time Neural Sliding-Mode Block Control for a DC Motor With Controlled Flux , 2012, IEEE Transactions on Industrial Electronics.

[8]  E. M. Berkouk,et al.  Development of real time Wind Turbine Emulator based on DC Motor controlled by hysteresis regulator , 2013, 2013 International Renewable and Sustainable Energy Conference (IRSEC).

[9]  Gene F. Franklin,et al.  Feedback Control of Dynamic Systems , 1986 .

[10]  Alexander G. Loukianov,et al.  Torque controller of a doubly-fed induction generator impelled by a DC motor for wind system applications , 2014 .

[11]  Leonid M. Fridman,et al.  Implementation of Super-Twisting Control: Super-Twisting and Higher Order Sliding-Mode Observer-Based Approaches , 2016, IEEE Transactions on Industrial Electronics.

[12]  Flavio Bezerra Costa,et al.  Wind turbine torque-speed feature emulator using a DC motor , 2013, 2013 Brazilian Power Electronics Conference.

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

[14]  Ahmed Rhif Stabilizing sliding mode control design and application for a dc motor: Speed control , 2012, ArXiv.

[15]  Alan W. C. Tan,et al.  Model reference controlled separately excited DC motor , 2009, Neural Computing and Applications.

[16]  Jaime A. Moreno,et al.  Strict Lyapunov Functions for the Super-Twisting Algorithm , 2012, IEEE Transactions on Automatic Control.

[17]  Leonid M. Fridman,et al.  Super twisting control algorithm for the attitude tracking of a four rotors UAV , 2012, J. Frankl. Inst..

[18]  Gaurav Kumar Mishra,et al.  Combined Armature and Field Speed Control of DC Motor For Efficiency Enhancement , 2014 .

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