Sliding mode control method based on adaptive reaching law

被引:0
作者
Li Y. [1 ]
Liu L. [1 ]
Hu Y. [1 ]
Yan H. [1 ]
机构
[1] Department of Control Engineering, Naval Aviation University, Yantai, 264001, Shandong
来源
Huazhong Keji Daxue Xuebao (Ziran Kexue Ban)/Journal of Huazhong University of Science and Technology (Natural Science Edition) | 2019年 / 47卷 / 01期
关键词
Adaptive reaching law; Hyperbolic tangent function; Interference stability boundary; Limit time convergence; Sliding mode control;
D O I
10.13245/j.hust.190120
中图分类号
学科分类号
摘要
A adaptive reaching law was proposed on the basis of exponential reaching law and variable speed reaching law, in order to improve dynamic quality and robustness of the system.When system state variable was far away from sliding mode surface, the exponential term played a major role, ensuring that the approach speed was high enough.When system state variable was closer to sliding mode surface, variable speed term played a major role.Sliding mode surface parameters were adjusted adaptively with system state variables until system state trajectory ran to the stable point.The reaching law had the characteristic of second-order sliding mode, which could reach the sliding surface in a limited time.When there was bounded external interference in the system, system state and its derivative could quickly converge to the neighborhood near the equilibrium point.Simulation results show that the proposed adaptive reaching law can effectively improve dynamic performance, steady-state accuracy and enhance robustness of the system. © 2019, Editorial Board of Journal of Huazhong University of Science and Technology. All right reserved.
引用
收藏
页码:109 / 113
页数:4
相关论文
共 11 条
[1]  
Ilyas E., Sule A.A., Sliding mode control with integral augmented sliding surface: design and experimental application to an electromechanical system, Electrical Engineering, 90, 3, pp. 189-197, (2008)
[2]  
Franck P., Emmanuel M., Alain G., Et al., Robust output feedback sampling control based on second-order sliding mode, Automatica, 46, 6, pp. 1096-1100, (2010)
[3]  
Lian R.J., Adaptive self-organizing fuzzy sliding-mode radial basis-function neural-network controller for robotic systems, IEEE Transactions on Industrial Electronics, 61, 3, pp. 1493-1503, (2014)
[4]  
Slotine J.J.E., Li W., Applied Nonlinear Control, (1991)
[5]  
Levant A., Universal single-input-single-output(SISO) sliding-mode controllers with finite-time convergence, IEEE Trans on Automatic Control, 46, 9, pp. 1447-1451, (2001)
[6]  
Laghrouche S., Plestan F., Glumineau A., Higher order sliding mode control based on integral sliding mode, Automatica, 43, 3, pp. 531-537, (2007)
[7]  
Defoort M., Floquet T., Kokosy A., Et al., A novel higher order sliding mode control scheme, Systems & Control Letters, 58, 2, pp. 102-108, (2009)
[8]  
Siraramirez H., On the dynamic sliding mode control of nonlinear systems, Int J of Control, 57, 5, pp. 1039-1061, (1993)
[9]  
Yu S., Yu X., Shirinzadeh B., Et al., Continuous finite time control for robotic manipulators with terminal slid- ing mode, Automatica, 41, 11, pp. 1957-1964, (2015)
[10]  
Bandyopadhyay B., Fulwani D., Park Y.J., A robust algorithm against actuator saturation using integral sliding mode and composite nonlinear feedback, Proceedings of the 17th IFAC World Congress, pp. 14174-14179, (2008)