Leader-following consensus problem of heterogeneous multi-agent systems with nonlinear dynamics using fuzzy disturbance observer

Complexity ◽  
2013 ◽  
Vol 19 (4) ◽  
pp. 20-31 ◽  
Author(s):  
Tae H. Lee ◽  
Ju H. Park ◽  
D. H. Ji ◽  
H. Y. Jung
Keyword(s):  
Nonlinear Dynamics ◽  
Disturbance Observer ◽  
Consensus Problem ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Leader Following ◽  
Multi Agent ◽  
Fuzzy Disturbance Observer

Leader-following consensus of heterogeneous linear multi-agent systems: New results based on linear transformation method

2021 ◽  
pp. 014233122110582
Author(s):  
Yangzhou Chen ◽  
Guangyue Xu ◽  
Jingyuan Zhan
Keyword(s):  
Linear Transformation ◽  
Design Method ◽  
Transformation Method ◽  
Consensus Problem ◽  
Multi Agent Systems ◽  
Consensus Protocol ◽  
Agent Systems ◽  
Hurwitz Stability ◽  
Leader Following ◽  
Multi Agent

This paper studies the leader-following state consensus problem for heterogeneous linear multi-agent systems under fixed directed communication topologies. First, we propose a consensus protocol consisting of four parts for high-order multi-agent systems, in which different agents are allowed to have different gain matrices so as to increase the degree of design freedom. Then, we adopt a state linear transformation, which is constructed based on the incidence matrix of a directed spanning tree of the communication topology, to equivalently transform the state consensus problem into a partial variable stability problem. Meanwhile, the results of the partial variable stability theory are used to derive a sufficient and necessary consensus criterion, expressed as the Hurwitz stability of a real matrix. Then, this criterion is further expressed as a bilinear matrix inequality condition, and, based on this condition, an iterative algorithm is proposed to find the gain matrices of the protocol. Finally, numerical examples are provided to verify the effectiveness of the proposed protocol design method.

A leader-following consensus problem of multi-agent systems in heterogeneous networks

Automatica ◽  
2020 ◽  
Vol 115 ◽  
pp. 108899 ◽  
Author(s):  
Christopher D. Cruz-Ancona ◽  
Rafael Martínez-Guerra ◽  
Claudia A. Pérez-Pinacho
Keyword(s):  
Heterogeneous Networks ◽  
Consensus Problem ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Leader Following ◽  
Multi Agent

A generalized hierarchical nearly cyclic pursuit for the leader-following consensus problem in multi-agent systems

2017 ◽  
Vol 40 (5) ◽  
pp. 1529-1537 ◽  
Author(s):  
Muhammad Iqbal ◽  
John Leth ◽  
Trung D Ngo
Keyword(s):  
Convergence Rate ◽  
Consensus Problem ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Cyclic Pursuit ◽  
Leader Following ◽  
Multi Agent ◽  
Simulation Results ◽  
Pursuit Strategy

In this paper, we solve the leader-following consensus problem using a hierarchical nearly cyclic pursuit (HNCP) strategy for multi-agent systems. We extend the nearly cyclic pursuit strategy and the two-layer HNCP to the generalized L-layer HNCP that enables the agents to rendezvous at a point dictated by a beacon. We prove that the convergence rate of the generalized L-layer HNCP for the leader-following consensus problem is faster than that of the nearly cyclic pursuit. Simulation results demonstrate the effectiveness of the proposed method.

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