Distributed Consensus for Multiagent Systems via Directed Spanning Tree Based Adaptive Control

2018 ◽  
Vol 56 (3) ◽  
pp. 2189-2217 ◽  
Author(s):  
Zhiyong Yu ◽  
Da Huang ◽  
Haijun Jiang ◽  
Cheng Hu ◽  
Wenwu Yu
Keyword(s):  
Adaptive Control ◽  
Multiagent Systems ◽  
Spanning Tree ◽  
Distributed Consensus ◽  
Directed Spanning Tree

scholarly journals Distributed Consensus Design for a Class of Uncertain Linear Multiagent Systems under Unbalanced Randomly Switching Directed Topologies

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Dinh Hoa Nguyen
Keyword(s):  
Multiagent Systems ◽  
Theoretical Approach ◽  
Spanning Tree ◽  
Low Rank ◽  
Distributed Consensus ◽  
Model Uncertainties ◽  
Numerical Example ◽  
Novel Approach ◽  
Coupling Strengths ◽  
Directed Topologies

This paper proposes a novel approach to design fully distributed consensus controllers for heterogeneous linear Multiagent Systems subjected to randomly switching directed topologies and model uncertainties. The appealing features of this approach are as follows. First, it uses the mildest assumption for the randomly switching topologies that the union of switched graphs has a spanning tree. Second, the consensus is achieved under a class of state multiplicative uncertainties. Moreover, the proposed consensus controllers are low-rank and have nonconservative coupling strengths. Finally, a numerical example is presented to illustrate the effectiveness of the proposed theoretical approach.

scholarly journals Consensus of Heterogeneous Multiagent Systems with Switching Dynamics

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Wenshuai Wang ◽  
Juling Wang ◽  
Huaizhu Wang ◽  
Yuanshi Zheng
Keyword(s):  
Multiagent Systems ◽  
Spanning Tree ◽  
Matrix Theory ◽  
Nonnegative Matrix ◽  
Time Dynamics ◽  
Switching Dynamics ◽  
Directed Spanning Tree ◽  
Interaction Topology ◽  
Theoretical Results ◽  
Double Integrator

Heterogeneity is an important feature of multiagent systems. This paper addresses the consensus problem of heterogeneous multiagent systems composed of first-integrator and double-integrator agents. The dynamics of each agent switches between continuous-time and discrete-time dynamics. By using the graph theory and nonnegative matrix theory, we derive that the system can achieve consensus if and only if the fixed interaction topology has a directed spanning tree. For switching topologies, we get that the system can reach consensus if each interaction topology has a directed spanning tree. Simulation examples are provided to demonstrate the effectiveness of our theoretical results.

scholarly journals Consensus Analysis of Fractional-Order Multiagent Systems with Double-Integrator

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Chunde Yang ◽  
Wenjing Li ◽  
Wei Zhu
Keyword(s):  
Multiagent Systems ◽  
Fractional Order ◽  
Spanning Tree ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Consensus Analysis ◽  
Directed Spanning Tree ◽  
Necessary And Sufficient ◽  
Theoretical Results ◽  
Double Integrator

In nature, many phenomena can be explained by coordinated behavior of agents with fractional-order dynamics. In this paper, the consensus problem of fractional-order multiagent systems with double-integrator is studied, where the fractional-order satisfies0<α<2. Based on the fractional-order stability theory, Mittag-Leffler function, and Laplace transform, a necessary and sufficient condition is obtained under the assumption that the directed graph for the communication network contains a directed spanning tree. Finally, an example with simulation is presented to illustrate the theoretical results.

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