Document Type : Research Paper

Authors

1 Control & System Eng. Dept., University of Technology - Iraq

2 Control & System Eng., Dept., University of Technology - Iraq

Abstract

The aim of this paper is to design and study a powerful second-order sliding mode controller for electrical servo drive systems. The suggested controller can successfully overcome the chattering problem that was usually facing such systems during operation. The first (1-SMC) and second (2-SMC) sliding mode controllers are nonlinear controllers’ techniques capable of stabilizing the output of a plant, even though a disturbance and parameter uncertainty is present. The asymptotically stable is the significant property of 1-SMC as well as 2-SMC. Despite the robustness of the 1- SMC, in real-time but it suffers from a large settling time and a chattering (undesirable rapid oscillations) of system trajectory close to the sliding surface. The chattering must be reduced because of its negative impact on system stability. The chattering can be reduced by replacing the sign function, used in classical sliding mode, by a saturation function. In the current study, the Second Order Sliding Mode Controller (2-SMC) is used to overcome the drawbacks of 1- SMC by reducing both the chattering and the settling time of the control action. The Electrical Servo drive system was adopted in this paper for testing; both, the 1-SMC as well as the 2-SMC. The comparison of results between the two controllers indicated smaller chattering and settling time in the 2-SMC than that in the 1-SMC. The simulation results of this work were obtained by using the Matlab programming.

Keywords

Main Subjects

[1] C.A. Yfoulis, A. Muir, and P.E.Wellstead, “A New
Approach for Estimating Controllable and
Recoverable Regions for Systems with State and
Control Constraints,” International Journal of Robust
and Nonlinear Control, Vol. 12, No. 7, pp. 561-589,
2002.
[2] S. Mondal, “Adaptive second order sliding mode
control strategies for uncertain systems,” Ph. D. thesis,
Department of Electronics and Electrical Engineering,
Indian Institute of Technology Guwahati, pp. 2-155,
2012.
[3] V.I. Utkin, J. Guldner, and J. Shi, "Sliding Mode
Control in Electromechanical Systems,” CRC Press.
Taylor & Francis Group, 2009.
[4] A.K. Hamoudi, “Design and Simulation of Sliding
Mode Fuzzy Controller for Nonlinear system,”
Journal of Engineering, College of Engineering,
University of Baghdad, Vol. 22, No. 103, pp. 66-76,
2016.
[5] A.K. Hamoudi, “Sliding Mode Control for Non
linear system best on Genetic Algorithm,” Journal of
Engineering and technology, Vol. 32, No. 11A, pp.
2745-2759, 2014.
[6] Z. Chen, W. Meng, Z. Wang and J. Zhang,
“Sliding Mode Variable Structure Control Based on
Particle Swarm Optimization,” Second International
Symposium on Intelligent Information Technology
Application, Taiyuan, China, pp. 692-696, 2008.
[7] H. Lee and V.I. Utkin, “Chattering Suppression
Methods in Sliding Mode Control Systems,” Annual
Reviews in Control, Vol. 31, No. 2, pp. 179-188, 2007.
[8] M.K. Khan, “ Design and application of second
order sliding mode control algorithms,” Ph. D. thesis,
Department of Engineering University of Leicester,
pp. 5-172, 2003A.
[9] A. Pisano, “Second Order Sliding Modes: Theory
and Applications,” Ph.D. Thesis, Department of
Electronics and Electrical Engineering, Cagliari
university, pp. 6-123, 2000
[10] O. Jedda, J. Ghabi, A. Douik, “Second Order
Sliding Mode Control for Inverted Pendulum,”
International Journal, University of Monastir and
University of Sousse, pp. 1-5, 2015
[11] A.K. Hamoudi, N.O. Abdul Rahman, “Design an
Integral Sliding Mode Controller for a Nonlinear
System,” Al-Khwarizmi Engineering Journal,
Department of Control and Systems Engineering/
University of Technology, Vol. 13, No. 1, pp. 138-
147, 2017.
[12] J. Huspeka, “Second order sliding mode control
of the DC motor,” International journal on process
control, Department of Cybernetics, Faculty of
Applied Sciences,
University of West Bohemia, pp. 134-139, 2009.
[13] S. Ding and J. Wang, “Second-Order Sliding
Mode Control for Nonlinear Uncertain Systems
Bounded by Positive Functions,” journal, Electrical
and Information Engineering University of Science
and Technology, VOL. 62, NO. 9, pp. 5899-5908,
2015.
[14] G. Bartolini, A. Ferrara, A. Levant, E. Usai, “On
Second Order Sliding Mode Controllers,” journal,
Department of Electrical and Electronic Engineering_
University of Cagliari, Department of
Communication_ Computer and System Sciences_
University of Genova, pp. 2-22, 2007.
[15] H.P. Pang and Q. Yang, “Optimal Sliding Mode
Control for a Class of Uncertain Nonlinear Systems
Based on Feedback Linearization,” Qingdao
University of Science and Technology, Robust
Control, Theory and Applications, pp. 142-162, 2011.