Consensus seeking for multi-agent systems by hybrid output feedback protocol

2016 ◽  
Vol 39 (7) ◽  
pp. 1104-1113 ◽  
Author(s):  
Jianqiang Hu ◽  
Jinde Cao
Keyword(s):  
Output Feedback ◽  
Multi Agent Systems ◽  
Consensus Protocol ◽  
Agent Systems ◽  
Luenberger Observer ◽  
State Observers ◽  
Communication Topology ◽  
Necessary And Sufficient Criteria ◽  
Multi Agent ◽  
Necessary And Sufficient

Consensus seeking problems are investigated for linear multi-agent systems in this paper. Two kinds of state observers, the decentralized Luenberger observer and the distributed pinning networked observer, are proposed to estimate the group agents’ state. Then, based on the observed state information, a novel distributed hybrid output feedback protocol is proposed. Using an eigenvalue analysis method, necessary and sufficient criteria have been established such that asymptomatic consensus can be achieved for a linear multi-agent system under a fixed directed communication topology. Furthermore, two multi-step algorithms are provided to determine the observer gains and the feedback gains for the proposed observer and distributed hybrid protocol. Finally, a numerical example is given to demonstrate the applicability and efficiency of the proposed consensus protocol.

scholarly journals Consensus Analysis for High-Order Multi-Agent Systems without or with Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
Zhengxin Wang ◽  
Yang Cao
Keyword(s):  
Partial Information ◽  
Sufficient Conditions ◽  
High Order ◽  
Consensus Problem ◽  
Multi Agent Systems ◽  
Consensus Protocol ◽  
Consensus Analysis ◽  
Agent Systems ◽  
Multi Agent ◽  
Necessary And Sufficient

This paper studies the consensus problem for a high-order multi-agent systems without or with delays. Consensus protocols, which only depend on the own partial information of agents and partial relative information with its neighbors, are proposed for consensus and quasi-consensus, respectively. Firstly, some lemmas are presented, and then a necessary and sufficient condition for guaranteeing the consensus is established under the consensus protocol without delays. Furthermore, communication delays are considered. Some necessary and sufficient conditions for solving quasi-consensus problem with delays are obtained. Finally, some simulations are given to verify the theoretical results.

Distributed adaptive consensus control for multi-agent systems with Lipschitz nonlinear dynamics

2016 ◽  
Vol 39 (12) ◽  
pp. 1864-1876 ◽  
Author(s):  
Xiaole Xu ◽  
Lixin Gao
Keyword(s):  
Multi Agent Systems ◽  
Consensus Protocol ◽  
Consensus Control ◽  
Adaptive Controllers ◽  
Agent Systems ◽  
Communication Topology ◽  
Leader Following ◽  
Multi Agent ◽  
Output Information ◽  
Active Leader

In this paper, the observer-based consensus problem for nonlinear multi-agent systems is considered. The dynamics of each agent is given in general form of Lipschitz nonlinear system, and the communication topology among the agents is assumed to be undirected and connected. The leader-following case and leaderless case are discussed. In the former, it is assumed that the leader’s input is possibly nonzero and time-varying and only a subset of the following agents can access the state information of the leader. To track the active leader, a distributed adaptive consensus protocol, based on the relative-output information with its neighbouring agents, is proposed for each following agent. It is shown that under suitable conditions, all the following agents can track the leader under the designed adaptive controllers and observers. Following that, the leaderless case is probed. Finally, a numerical example is given to illustrate our obtained result.

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