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

Global Sliding Mode Control Via Linear Matrix Inequality Approach for Uncertain Chaotic Systems With Input Nonlinearities and Multiple Delays

2018 ◽  
Vol 13 (3) ◽  
Author(s):  
Mona Afshari ◽  
Saleh Mobayen ◽  
Rahman Hajmohammadi ◽  
Dumitru Baleanu
Keyword(s):  
Sliding Mode Control ◽  
Linear Matrix Inequality ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Linear Matrix ◽  
Multiple Delays ◽  
Matrix Inequality ◽  
Mode Control ◽  
Global Sliding Mode Control ◽  
Uncertain Chaotic Systems

This paper considers a global sliding mode control (GSMC) approach for the stabilization of uncertain chaotic systems with multiple delays and input nonlinearities. By designing the global sliding mode surface, the offered scheme eliminates reaching phase problem. The offered control law is formulated based on state estimation, Lyapunov–Krasovskii stability theory, and linear matrix inequality (LMI) technique which present the asymptotic stability conditions. Moreover, the proposed design approach guarantees the robustness against multiple delays, nonlinear inputs, nonlinear functions, external disturbances, and parametric uncertainties. Simulation results for the presented controller demonstrate the efficiency and feasibility of the suggested procedure.

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.

Synchronization of uncertain chaotic systems using active sliding mode control

2007 ◽  
Vol 33 (4) ◽  
pp. 1230-1239 ◽  
Author(s):  
Mohammad Haeri ◽  
Mohammad Saleh Tavazoei ◽  
Majid Reza Naseh
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Mode Control ◽  
Active Sliding Mode Control ◽  
Uncertain Chaotic Systems

Research on Adaptive Backstepping Global Sliding Control for CPS

2013 ◽  
Vol 846-847 ◽  
pp. 134-138
Author(s):  
Jue Wang ◽  
Fei Li ◽  
Ye Huang ◽  
Jian Hao Wang ◽  
Hong Lin Zhang
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Flight Simulator ◽  
Position Tracking ◽  
Adaptive Backstepping ◽  
Parameter Uncertainties ◽  
Servo Systems ◽  
Mode Control ◽  
Global Sliding Mode Control ◽  
Compensation Methods

The paper studies the problem of tracking control for flight simulator servo systems, one typical CPS, with parameter uncertainties and nonlinear friction compensation. Methods of adaptive global sliding mode control and backstepping control are respectively proposed to realize the control of virtual rotational speed and position tracking. Adaptive backstepping global sliding mode control strategy for flight simulator servo systems is proposed and its stability is analyzed. Simulation results show the effectiveness of the proposed method, which could achieve the precision position tracking performance and eliminate the chattering.

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