Proxy-based sliding mode stabilization of a class of second-order nonlinear system

2017 ◽  
Author(s):  
Guangzheng Ding ◽  
Jian Huang ◽  
Bin Hu ◽  
Zhi-Hong Guan
Keyword(s):  
Nonlinear System ◽  
Sliding Mode ◽  
Second Order ◽  
Mode Stabilization

scholarly journals Terminal Sliding Mode Control with Adaptive Law for Uncertain Nonlinear System

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Zhanshan Zhao ◽  
Jing Zhang ◽  
Liankun Sun ◽  
Dakun Zhang
Keyword(s):  
Nonlinear System ◽  
Sliding Mode ◽  
Second Order ◽  
System Stability ◽  
Order System ◽  
Unmodeled Dynamics ◽  
External Disturbances ◽  
Terminal Sliding Mode ◽  
Adaptive Law ◽  
Nonsingular Terminal Sliding Mode

A novel nonsingular terminal sliding mode controller is proposed for a second-order system with unmodeled dynamics uncertainties and external disturbances. We need not achieve the knowledge for boundaries of uncertainties and external disturbances in advance. The adaptive control gains are obtained to estimate the uncertain parameters and external disturbances which are unknown but bounded. The closed loop system stability is ensured with robustness and adaptation by the Lyapunov stability theorem in finite time. An illustrative example of second-order nonlinear system with unmodeled dynamics and external disturbances is given to demonstrate the effectiveness of the presented scheme.

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