Design of an adaptive chattering avoidance global sliding mode tracker for uncertain non-linear time-varying systems

被引:55
作者
Mobayen S. [1 ]
Tchier F. [2 ]
机构
[1] Department of Electrical Engineering, Faculty of Engineering, University of Zanjan, Zanjan
[2] Department of Mathematics, King Saud University, PO Box 22452, Riyadh
关键词
Chattering avoidance; global sliding mode control; non-linear systems; online adaptation; tracking performance;
D O I
10.1177/0142331216644046
中图分类号
学科分类号
摘要
In this paper, a novel adaptive global sliding mode control technique is suggested for the tracking control of uncertain and non-linear time-varying systems. The proposed scheme composed of a global sliding mode control structure to eliminate reaching mode and an adaptive tracker to construct the auxiliary control term for eliminating the impacts of unwanted perturbations. Using the Lyapunov direct method, the tracking control of the non-linear system is guaranteed. Moreover, superior position tracking performance is obtained, the control effort is considerably decreased and the chattering phenomenon is removed. Furthermore, using adaptation laws, information about the upper bounds of the system perturbations is not required. To indicate the effectiveness of the suggested scheme, three simulation examples are presented. Simulation results demonstrate the superiority and capability of the offered control law to improve the transient performance of a closed-loop system using online adaptive parameters. © 2017, © The Author(s) 2017.
引用
收藏
页码:1547 / 1558
页数:11
相关论文
共 53 条
[1]  
Aghababa M.P., Aghababa H.P., Chaos suppression of a class of unknown uncertain chaotic systems via single input, Communications in Nonlinear Science and Numerical Simulation, 17, 9, pp. 3533-3538, (2012)
[2]  
Aloui S., Pages O., El-Hajjaji A., Et al., Improved fuzzy sliding mode control for a class of MIMO nonlinear uncertain and perturbed systems, Applied Soft Computing, 11, 1, pp. 820-826, (2011)
[3]  
Bartoszewicz A., Nowacka A., Sliding-mode control of the third-order system subject to velocity, acceleration and input signal constraints, International Journal of Adaptive Control and Signal Processing, 21, pp. 779-794, (2007)
[4]  
Bhat S.P., Bernstein D.S., Continuous finite-time stabilization of the translational and rotational double integrators, IEEE Transactions on Automatic Control, 43, 5, pp. 678-682, (1998)
[5]  
Boukattaya M., Jallouli M., Damak T., On trajectory tracking control for nonholonomic mobile manipulators with dynamic uncertainties and external torque disturbances, Robotics and Autonomous Systems, 60, 12, pp. 1640-1647, (2012)
[6]  
Cheng C.C., Chang Y., Design of decentralised adaptive sliding mode controllers for large-scale systems with mismatched perturbations, International Journal of Control, 81, 10, pp. 1507-1518, (2008)
[7]  
Corradini M.L., Giambo R., Pettinari S., On the adoption of a fractional-order sliding surface for the robust control of integer-order LTI plants, Automatica, 51, pp. 364-371, (2015)
[8]  
Dong L., Tang W.C., Adaptive backstepping sliding mode control of flexible ball screw drives with time-varying parametric uncertainties and disturbances, ISA Transactions, 53, 1, pp. 110-116, (2014)
[9]  
Dong X., Wu Y., Xiao S., Et al., Global sliding mode control based on disturbance observer for motor servo system and application to flight simulator, pp. 370-375, (2014)
[10]  
Efimov D., Fridman L., Global sliding-mode observer with adjusted gains for locally Lipschitz systems, Automatica, 47, 3, pp. 565-570, (2011)