Decentralized Control for Second-Order Uncertain Nonlinear Multi-agent Systems Consensus Problem Based on Fuzzy Adaptive High-Gain Observer

Author(s):  
Change Ren ◽  
C.L. Philip Chen
2018 ◽  
Vol 41 (2) ◽  
pp. 484-493 ◽  
Author(s):  
Dongmei Xie ◽  
Lin Shi ◽  
Fangcui Jiang

This paper studies the group consensus problem of second-order multi-agent systems (MASs) with switching communication topology. Unlike most existing papers concerning the consensus issue of MASs under arbitrary switching topology or Markovian switching topology, our paper tries to design a switching signal such that MAS can achieve group consensus under a designed switching signal set. First, using a state transformation method, the group consensus problem of MASs can be equivalently transformed into the asymptotical stability of a corresponding switched system. Then, two sufficient criteria are established by using Lyapunov function method and average dwell time (ADT) approach, where the minimum ADT [Formula: see text] is given clearly. Finally, simulation examples are given to show the effectiveness of our theoretical analysis.


2019 ◽  
Vol 9 (20) ◽  
pp. 4208 ◽  
Author(s):  
Huaitao Shi ◽  
Maxiao Hou ◽  
Yuhou Wu

This paper solves the leader-following consensus problem for a class of second-order multi-agent systems with input quantized by a newly proposed adaptive dynamic quantizer. The novel dynamic quantizer is an adaptive quantizer that combines the logarithmic quantizer and the uniform quantizer by introducing dynamic gain parameters to achieve quantizer adaptive adjustment. It has advantages of logarithmic, uniform, and adaptive dynamic quantizers in ensuring reducible communication expenses and acceptable quantizer errors for better system performance. On this basis, we transform the guide way climbing frame (GWCF) under ideal conditions into a second-order multi-agent system and solve the motion synchronization problem of GWCF. Finally, we illustrate our approach by numerical examples.


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