Synchronization of Incommensurate Fractional-Order Chaotic Systems with Input Nonlinearities Using a Fuzzy Variable-Structure Control

2018 ◽  
pp. 128-142
Author(s):  
Amina Boubellouta ◽  
Abdesselem Boulkroune
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Fuzzy Variable ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Structure Control

scholarly journals Synchronization of Chaotic Systems with Dead Zones via Fuzzy Adaptive Variable-Structure Control

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Yongbing Huangfu ◽  
Kaijuan Xue
Keyword(s):  
Chaotic Systems ◽  
Fuzzy Inference ◽  
Fuzzy Variable ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Dead Zones ◽  
Structure Control ◽  
Synchronization Problem ◽  
The Stability ◽  
Fuzzy Adaptive

This work is devoted to solving synchronization problem of uncertain chaotic systems with dead zones. Based on the Lyapunov stability theorems, by using fuzzy inference to estimate system uncertainties and by designing effective fuzzy adaptive controllers, the synchronization between two chaotic systems with dead zones is realized and a fuzzy variable-structure control is implemented. The stability is proven strictly, and all the states and signals are bounded in the closed-loop system. A simulation example is presented to test the theoretical results finally.

Study on Active Suspension with Variable Structure Control Based on the Fractional Order Exponential Reaching Law

2017 ◽  
Vol 872 ◽  
pp. 337-345
Author(s):  
Yan Dong Chen
Keyword(s):  
Fractional Order ◽  
Reference Model ◽  
Sliding Mode ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Active Suspension ◽  
Mode Switching ◽  
Structure Control ◽  
Reaching Law ◽  
Exponential Reaching Law

Based on the dynamic model of 1/4 vehicle suspension, an active control system is designed using the fractional order exponential reaching law of model following variable structure control strategy. An active suspension with linear quadratic optimal control is used as the reference model. The sliding mode switching surface parameters is designed by pole placement method to ensure the stability of the system. At the same time, combined with the index reaching law proposed by Professor Gao Wei Bing and the definition and properties of fractional index, constructs a similar fractional order exponent reaching law to improve the dynamic quality of sliding mode motion. And in MATLAB, system modeling and controller design are implemented. By setting up experiments, the different suspensions are compared. The results show that compared with the passive suspension, the performance of the vehicle can be improved better, and the performance of the tracking reference model has good tracking performance. Moreover, compared with the integral exponential reaching law, the chattering can be more effectively weakened. Finally, before and after the change of vehicle parameters in the simulation, the results show that the system has good robustness.

A New Fuzzy Variable Structure Control of a Type of Nonlinear Multivariable System

2006 ◽  
Vol 315-316 ◽  
pp. 623-627
Author(s):  
P. Wei ◽  
Z.L. Wang ◽  
L.H. Qiu
Keyword(s):  
High Efficiency ◽  
Control Method ◽  
Fuzzy Variable ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Multivariable System ◽  
Robust Performance ◽  
Structure Control ◽  
System A ◽  
Novel Method

In order to improve the robust performance for a type of nonlinear multivariable system, a new fuzzy variable structure control method is introduced in detail, which combined the features of traditional variable structure control method with the advantages of the fuzzy control theory. The present work realized the linearization of the nonlinear multivariable system, and then the new fuzzy variable structure control method is applied to control the linearization system. The robust experiments were carried out on the novel method. The results indicated that the required robust performance could be achieved with high efficiency by utilizing the new method.

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