Fixed time stability of a class of chaotic systems with disturbances by using sliding mode control

2021 ◽  
Author(s):  
Haipeng Su ◽  
Runzi Luo ◽  
Jiaojiao Fu ◽  
Meichun Huang
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Fixed Time ◽  
Time Stability ◽  
Mode Control

New fixed-time sliding mode control for a mismatched second-order system

2020 ◽  
pp. 014233122095230
Author(s):  
Guo Jianguo ◽  
Yang Shengjiang
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Initial Conditions ◽  
Nonlinear Function ◽  
Fixed Time ◽  
Second Order ◽  
Order System ◽  
Time Stability ◽  
Mode Control ◽  
Mismatched Uncertainties

A fixed-time sliding mode control (FTSMC) method is proposed for a second-order system with mismatched uncertainties in this paper. A new sliding mode, which is insensitive to the mismatched disturbance, is present to eliminate the effect of mismatched uncertainties by adopting the differentiable nonlinear function, and to obtain the fixed time stability independent of initial conditions by using the fraction-order function. In order to improve the performance of control system, the extended disturbance-observer-based fixed-time sliding mode control (EDO-FTSMC) approach is investigated to obtain the fixed-time stability subject to the mismatched uncertainties. Finally, the performance of the proposed control method is illustrated to compare other control approaches with numerical simulation results and application examples.

scholarly journals Robust fixed-time stability: application to sliding mode control

2021 ◽  
pp. 1-1
Author(s):  
Emmanuel Moulay ◽  
Vincent Lechappe ◽  
Emmanuel Bernuau ◽  
Franck Plestan
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Fixed Time ◽  
Time Stability ◽  
Mode Control

scholarly journals Disturbance and Uncertainty Rejection-Based on Fixed-Time Sliding-Mode Control for the Secure Communication of Chaotic Systems

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 133663-133685
Author(s):  
Nam Van Giap ◽  
Hong Son Vu ◽  
Quang Dich Nguyen ◽  
Shyh-Chour Huang
Keyword(s):  
Sliding Mode Control ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Fixed Time ◽  
Mode Control

Fractional Dynamic Sliding Mode Control for uncertain chaotic systems Applied to a Chaotic Robot arm under dynamic load.

2020 ◽  
Vol 10 ◽  
Author(s):  
Sara Gholipour P ◽  
Sara Minagar ◽  
Javad Kazemitabar ◽  
Mobin Alizadeh
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Sliding Mode ◽  
Qualitative And Quantitative ◽  
Mode Control ◽  
Quantitative Characteristics ◽  
Dynamic Sliding Mode Control ◽  
Dynamic Sliding Mode ◽  
Qualitative And Quantitative Characteristics

Background: A novel type of control strategy is presented for control of chaotic systems particularly a chaotic robot in joint and workspace which is the result of applying fractional calculus to dynamic sliding mode control. Objectives: To guarantee the sliding mode condition, control law is introduced based on the Lyapunov stability theory. Methods: A control scheme is proposed for reducing the chattering problem in finite time tracking and robust in presence of system matched disturbances. Conclusion: Also, all of chaotic robot's qualitative and quantitative characteristics have been investigated. Numerical simulations indicate viability of our control method. Results: Qualitative and quantitative characteristics of the chaotic robot are all proven to be viable thru simulations.

Global sliding mode control and application in chaotic systems

2008 ◽  
Vol 56 (1-2) ◽  
pp. 193-198 ◽  
Author(s):  
Leipo Liu ◽  
Zhengzhi Han ◽  
Wenlin Li
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Mode Control ◽  
Global Sliding Mode Control
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