Command filtered adaptive neural network synchronization control of fractional-order chaotic systems subject to unknown dead zones

2021 ◽  
Vol 358 (7) ◽  
pp. 3376-3402
Author(s):  
Shumin Ha ◽  
Liangyun Chen ◽  
Heng Liu
Keyword(s):  
Neural Network ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Synchronization Control ◽  
Network Synchronization ◽  
Adaptive Neural Network ◽  
Dead Zones

scholarly journals Neural Network Command Filtered Control of Fractional-Order Chaotic Systems

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Hua Zhang
Keyword(s):  
Neural Network ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Control Method ◽  
Filter Method ◽  
Control Effect ◽  
Adaptive Neural Network ◽  
Actual System ◽  
Dynamic Surface ◽  
Surface Method

An adaptive neural network (NN) backstepping control method based on command filtering is proposed for a class of fractional-order chaotic systems (FOCSs) in this paper. In order to solve the problem of the item explosion in the classical backstepping method, a command filter method is adopted and the error compensation mechanism is introduced to overcome the shortcomings of the dynamic surface method. Moreover, an adaptive neural network method for unknown FOCSs is proposed. Compared with the existing control methods, the advantage of the proposed control method is that the design of the compensation signals eliminates the filtering errors, which makes the control effect of the actual system improve well. Finally, two examples are given to prove the effectiveness and potential of the proposed method.

scholarly journals Observer-based adaptive neural network backstepping sliding mode control for switched fractional order uncertain nonlinear systems with unmeasured states

2021 ◽  
pp. 002029402110211
Author(s):  
Tao Chen ◽  
Damin Cao ◽  
Jiaxin Yuan ◽  
Hui Yang
Keyword(s):  
Neural Network ◽  
Nonlinear Systems ◽  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Tracking Error ◽  
Adaptive Neural Network ◽  
Dynamic Surface ◽  
Mode Control ◽  
The Stability

This paper proposes an observer-based adaptive neural network backstepping sliding mode controller to ensure the stability of switched fractional order strict-feedback nonlinear systems in the presence of arbitrary switchings and unmeasured states. To avoid “explosion of complexity” and obtain fractional derivatives for virtual control functions continuously, the fractional order dynamic surface control (DSC) technology is introduced into the controller. An observer is used for states estimation of the fractional order systems. The sliding mode control technology is introduced to enhance robustness. The unknown nonlinear functions and uncertain disturbances are approximated by the radial basis function neural networks (RBFNNs). The stability of system is ensured by the constructed Lyapunov functions. The fractional adaptive laws are proposed to update uncertain parameters. The proposed controller can ensure convergence of the tracking error and all the states remain bounded in the closed-loop systems. Lastly, the feasibility of the proposed control method is proved by giving two examples.

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