Fixed-Time Synchronization Control for a Class of Master–Slave Systems Based on Homogeneous Method

2019 ◽  
Vol 66 (9) ◽  
pp. 1547-1551 ◽  
Author(s):  
Di Wu ◽  
Haibo Du ◽  
Guanghui Wen ◽  
Jinhu Lu
2019 ◽  
Vol 16 (6) ◽  
pp. 172988141989131
Author(s):  
Peng Zhang ◽  
Yongzheng Cong ◽  
Di Wu ◽  
Guorong Zhang ◽  
Qi Tan

Fixed-time synchronization problem for a class of leader–follower multi-agent systems with second-order nonlinearity is studied in this article. A new fixed-time synchronization control algorithm is developed by effectively combining homogeneous system theory, Lyapunov stability theory, and fixed-time/finite-time control technology. The leader–follower multi-agent system is considered to achieve fixed-time synchronization control. Finally, numerical simulations including coordination control multiple pendulum robot systems and electric power networks are carried out to verify the control performance of the control strategy.


Entropy ◽  
2021 ◽  
Vol 23 (12) ◽  
pp. 1610
Author(s):  
Mei Liu ◽  
Binglong Lu ◽  
Zhanfeng Li ◽  
Haijun Jiang ◽  
Cheng Hu

Fixed-time synchronization problem for delayed dynamical complex networks is explored in this paper. Compared with some correspondingly existed results, a few new results are obtained to guarantee fixed-time synchronization of delayed dynamical networks model. Moreover, by designing adaptive controller and discontinuous feedback controller, fixed-time synchronization can be realized through regulating the main control parameter. Additionally, a new theorem for fixed-time synchronization is used to reduce the conservatism of the existing work in terms of conditions and the estimate of synchronization time. In particular, we obtain some fixed-time synchronization criteria for a type of coupled delayed neural networks. Finally, the analysis and comparison of the proposed controllers are given to demonstrate the validness of the derived results from one numerical example.


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