Adaptive sliding mode control for uncertain discrete-time systems using an improved reaching law

2012 ◽  
Vol 16 (4) ◽  
pp. 380 ◽  
Author(s):  
Toshio Yoshimura
Keyword(s):  
Sliding Mode Control ◽  
Discrete Time ◽  
Sliding Mode ◽  
Adaptive Sliding Mode Control ◽  
Reaching Law ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Discrete Time Systems ◽  
Time Systems

scholarly journals A Novel Reaching Law for Sliding Mode Control of Uncertain Discrete-Time Systems

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Qian Xu ◽  
H. P. Du ◽  
B. He ◽  
T. H. Yan ◽  
W. H. Li ◽  
...  
Keyword(s):  
Sliding Mode Control ◽  
Discrete Time ◽  
Control Algorithm ◽  
Sliding Mode ◽  
Sliding Surface ◽  
Reaching Law ◽  
Mode Control ◽  
Discrete Time Systems ◽  
Exponential Reaching Law ◽  
Time Systems

This paper proposed a new sliding mode control algorithm for discrete-time systems with matched uncertainty. The new control algorithm is characterized by a new discrete switching surface. Although the exponential reaching law can reduce oscillation, the control effectiveness will be suppressed when the rate of change of disturbance is high. The exponential reaching law cannot force the system states to approach sliding surface sk=0. In order to solve the contradiction between guaranteeing the basic property of quasi-sliding mode and reducing oscillation, a new discrete reaching law is proposed to improve the reaching process of discrete exponent reaching laws. The proposed method not only can force system state to approach the sliding surface sk=0 in less width of the switching manifold than existing studies, but also can alleviate chattering when the system representative points are near zero point. Simulation results are provided to validate the feasibility and reasonability of the method.

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