Adaptive Nonsingular Terminal Sliding Mode Control for Performance Improvement of Perturbed Nonlinear Systems

Mathematics

Jan Awrejcewicz¹  Abdullah K. Alanazi²  Khalid A. Alattas³  Fayez F. M. El-Sousy⁴  Omid Mofid⁵  Saleh Mobayen⁵  Mai The Vu⁶ 

[1] Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski St., 90-924 Lodz, Poland;Department of Chemistry, Faculty of Science, Taif University, Taif 21944, Saudi Arabia;Department of Computer Science and Artificial Intelligence, College of Computer Science and Engineering, University of Jeddah, Jeddah 23218, Saudi Arabia;Department of Electrical Engineering, Prince Sattam Bin Abdulaziz University, Al Kharj 11942, Saudi Arabia;Future Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliu, Yunlin 64002, Taiwan;School of Intelligent Mechatronics Engineering, Sejong University, Seoul 05006, Korea;

关键词: chaotic systems;    performance improvement;    non-singular control;    sliding mode control;    external disturbance;   

DOI  :  10.3390/math10071064

来源: DOAJ

【 摘 要 】

In this study, an adaptive nonsingular terminal sliding mode control technique according to the barrier function is designed for the performance improvement and robust stability of nonlinear systems with outdoor disturbances. For this reason, a novel nonlinear sliding surface is presented based on the states of the system. The nonlinear sliding surface forces the states of the system to converge from initial conditions to zero. Subsequently, a non-singular terminal sliding control scheme is advised for the purpose of finite-time stability of the nonlinear switching surface. Finite-time stabilization of the non-singular terminal sliding surface is verified by the Lyapunov theory. For improvement of the system performance against exterior perturbation, the barrier function adaptive technique is employed to estimate the unknown upper bounds of the exterior disturbance. Finally, the advantage and productivity of the recommended control method is investigated based on the simulation results. In the simulation part, the plasma torch jerk chaotic system is considered as a case study, such that the obtained results are given in different scenarios.

【 授权许可】

Unknown