Robust sliding-mode backstepping design for synchronization control of cross-strict feedback hyperchaotic systems with unmatched uncertainties

2011 ◽  
Vol 16 (10) ◽  
pp. 3904-3913 ◽  
Author(s):  
H.Y. Li ◽  
Y.A. Hu
Keyword(s):  
Sliding Mode ◽  
Synchronization Control ◽  
Backstepping Design ◽  
Unmatched Uncertainties ◽  
Hyperchaotic Systems ◽  
Strict Feedback

scholarly journals Robust Synchronization of Fractional-Order Hyperchaotic Systems Subjected to Input Nonlinearity and Unmatched External Perturbations

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Teh-Lu Liao ◽  
Jun-Juh Yan ◽  
Jen-Fuh Chang
Keyword(s):  
Fractional Order ◽  
Sliding Mode ◽  
Input Nonlinearity ◽  
Synchronization Problem ◽  
Robust Synchronization ◽  
Single Controller ◽  
Unmatched Uncertainties ◽  
The Cost ◽  
Hyperchaotic Systems ◽  
Control Implementation

This paper investigates the robust synchronization problem for a class of fractional-order hyperchaotic systems subjected to unmatched uncertainties and input nonlinearity. Based on the sliding mode control (SMC) technique, this approach only uses a single controller to achieve chaos synchronization, which reduces the cost and complexity for synchronization control implementation. As expected, the error states can be driven to zero or into predictable bounds for matched and unmatched perturbations, respectively, even with input nonlinearity.

scholarly journals Synchronization and Anti-Synchronization of Two Identical Hyperchaotic Systems Based on Active Backstepping Design

2011 ◽  
pp. 117-122
Author(s):  
Atefeh Saedian ◽  
Hassan Zarabadipoor
Keyword(s):  
Numerical Simulations ◽  
Active Control ◽  
Chaos Control ◽  
Control Method ◽  
Design Method ◽  
Backstepping Design ◽  
Backstepping Technique ◽  
Control Approach ◽  
Hyperchaotic Systems

This paper presents an active backstepping design method for synchronization and anti-synchronization of two identical hyperchaotic Chen systems. The proposed control method, combining backstepping design and active control approach, extends the application of backstepping technique in chaos control. Based on this method, different combinations of controllers can be designed to meet the needs of different applications. Numerical simulations are shown to verify the results.

scholarly journals A Novel Robust Adaptive Backstepping Method Combined with SMC on Strict-Feedback Nonlinear Systems Using Neural Networks

2019 ◽  
Vol 291 ◽  
pp. 01001
Author(s):  
Yahui Li ◽  
Feng Gao ◽  
Franco Bernelli-Zazzera ◽  
Zeyou Tong ◽  
Fugui Li ◽  
...  
Keyword(s):  
Nonlinear Systems ◽  
Sliding Mode ◽  
Design Method ◽  
The Novel ◽  
Backstepping Method ◽  
Adaptive Backstepping ◽  
Closed Loop Systems ◽  
Robust Adaptive ◽  
Derivatives Of ◽  
Strict Feedback

Adaptive backstepping methodology is a powerful tool for nonlinear systems, especially for strict-feedback ones, but its robustness still needs improvements. In this paper, combined with sliding mode control (SMC), a new backstepping design method is proposed to guarantee the robustness. In this method, based on the novel combining method, the auxiliary controller is introduced only in the final step of the real controller, unlike traditional methods, which usually all include an auxiliary controller in every de-signing step to guarantee the robustness of the closed-loop systems. The novel combing methods can avoid calculating multiple and high-order derivatives of the auxiliary controllers in the intermediate steps, low-ering the computational burden in evaluating the controller. The effectiveness of the proposed approach is illustrated from simulation results.

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