Reaching law based discrete time switching quasi-sliding mode controller

2017 ◽  
Author(s):  
Pawel Latosinski
Keyword(s):  
Discrete Time ◽  
Sliding Mode ◽  
Sliding Mode Controller ◽  
Time Switching ◽  
Reaching Law

Research on Control by Sliding Form of Variable Structure in Follow-Up System

2014 ◽  
Vol 602-605 ◽  
pp. 1099-1102
Author(s):  
Na Fang ◽  
Han Lin Huang ◽  
Feng Li ◽  
Zhi Min Deng
Keyword(s):  
Discrete Time ◽  
Sliding Mode ◽  
Variable Structure ◽  
Sliding Mode Controller ◽  
Simulation Test ◽  
Reaching Law ◽  
Load Disturbance ◽  
Control Criteria ◽  
Parameter Robustness

The article designs a discrete-time sliding mode controller based on reaching law according to the follow-up system’s largely changed loads and strict control criteria for the position. It analyzes the different results by comparison of PID and sliding form of variable structures. Various results from simulation test shows that the control by sliding form of variable structures has better ability to guard load disturbance and parameter robustness.

scholarly journals A Chattering Free Discrete-Time Global Sliding Mode Controller for Optoelectronic Tracking System

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Yan Ren ◽  
Zhenghua Liu ◽  
Xiaodong Liu ◽  
Yu Zhang
Keyword(s):  
Discrete Time ◽  
High Frequency ◽  
Sliding Mode ◽  
Tracking System ◽  
Tracking Error ◽  
Switching Function ◽  
Sliding Mode Controller ◽  
Control Input ◽  
Reaching Law ◽  
Chattering Free

Aiming at the uncertainties including parameter variations and external disturbances in optoelectronic tracking system, a discrete-time global sliding mode controller (DGSMC) is proposed. By the design of nonlinear switching function, the initial state of control system is set on the switching surface. An adaptive discrete-time reaching law is introduced to suppress the high-frequency chattering at control input, and a linear extrapolation method is employed to estimate the unknown uncertainties and commands. The global reachability for sliding mode and the chattering-free property are proven by means of mathematical derivation. Numerical simulation presents that the proposed DGSMC scheme not only ensures strong robustness against system uncertainties and small tracking error, but also suppresses the high-frequency chattering at control input effectively, compared with the SMC scheme using conventional discrete-time reaching law.

scholarly journals A Novel Fuzzy Sliding-Mode Control for Discrete-Time Uncertain System

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
T. H. Yan ◽  
B. Wu ◽  
B. He ◽  
W. H. Li ◽  
R. B. Wang
Keyword(s):  
Fuzzy Logic ◽  
Sliding Mode Control ◽  
Discrete Time ◽  
Sliding Mode ◽  
Dynamic Performance ◽  
Uncertain System ◽  
Sliding Mode Controller ◽  
Reaching Law ◽  
Mode Control ◽  
Dynamic Performances

This paper considers the sliding-mode control problem for discrete-time uncertain systems. It begins by presenting a discrete variable speed reaching law and a discrete-time sliding-mode controller (DSMC) designed using the proposed reaching law, followed by an analysis of their stability and dynamic performance. A sliding-mode controller with simple fuzzy logic is then proposed to further strengthen the dynamic performance of the proposed sliding-mode controller. Finally, the presented DSMC and the DSMC with fuzzy control for adjusting the parameters in this paper are compared with one of the previous proposed classic DSMC systems. The results of this simulation show that the DSMC presented here can suppress chatter and ensure good dynamic performances when fuzzy logic is used to tune the parameters.

A Novel Variable Exponential Discrete Time Sliding Mode Reaching Law

2021 ◽  
pp. 1-1
Author(s):  
Xigang Chen ◽  
Yangmin Li ◽  
Haifeng Ma ◽  
Hui Tang ◽  
Yanlin Xie
Keyword(s):  
Discrete Time ◽  
Sliding Mode ◽  
Reaching Law

scholarly journals Reaching Law Based Sliding Mode Control of Sampled Time Systems

Energies ◽  
2021 ◽  
Vol 14 (7) ◽  
pp. 1882
Author(s):  
Piotr Leśniewski ◽  
Andrzej Bartoszewicz
Keyword(s):  
Sliding Mode Control ◽  
Discrete Time ◽  
Sliding Mode ◽  
Rate Of Change ◽  
Reaching Law ◽  
Mode Control ◽  
Sliding Motion ◽  
Control Precision ◽  
Continuous Time Systems ◽  
Time Systems

In this paper, discrete time reaching law-based sliding mode control of continuous time systems is considered. In sliding mode control methods, usually the assumption of bounded absolute values of disturbances is used. However in many cases, the rate of change of the disturbance is also bounded. In the presented approach, this knowledge is used to improve the control precision and reduce the undesirable chattering. Another advantage of the proposed method is that the disturbance does not have to satisfy the matching conditions. In the paper two new reaching laws are analyzed, one of them ensures the switching quasi-sliding motion and the other the non-switching motion. For both of them, the robustness is assessed by calculating the quasi-sliding mode band width, as well as the greatest possible state error values. Specifically, the state errors are not considered only at the sampling instants, as is usual for discrete time systems, but the bounds on the continuous values “between” the sampling instants are also derived. Then, the proposed approaches are compared and analyzed with respect to energy expenditure of the control signal.

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