Distributed event-triggered algorithm for optimal resource allocation of second-order multi-agent systems

In this work, the authors study the resource allocation problems of second-order multi-agent systems, where each agent is associated with a local cost function and the decisions of agents are constrained by network resource constraints. To seek the optimal resource allocation with low communication...

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Bibliographic Details
Published in:IET control theory & applications Vol. 14; no. 14; pp. 1937 - 1946
Main Authors: Deng, Zhenhua, Wang, Lei
Format: Journal Article
Language:English
Published: The Institution of Engineering and Technology 24.09.2020
Subjects:
distributed algorithm
distributed algorithms
distributed control
distributed event‐triggered algorithm
event‐triggered schemes
exact optimal decision
local cost function
low communication costs
Lyapunov methods
multi‐agent systems
multi‐robot systems
network resource constraints
optimal resource allocation
Research Article
resource allocation
resource allocation problem
second‐order agents
second‐order multiagent systems
stability
multi-agent systems
local cost function
distributed control
multi-robot systems
second-order multiagent systems
event-triggered schemes
second-order agents
distributed event-triggered algorithm
resource allocation problem
distributed algorithm
exact optimal decision
resource allocation
distributed algorithms
network resource constraints
low communication costs
optimal resource allocation
stability
Lyapunov methods
ISSN:1751-8644, 1751-8652
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Summary:In this work, the authors study the resource allocation problems of second-order multi-agent systems, where each agent is associated with a local cost function and the decisions of agents are constrained by network resource constraints. To seek the optimal resource allocation with low communication costs, a distributed algorithm with event-triggered schemes is proposed. With the help of Lyapunov stability theory and convex analysis, the authors analyse the convergence of the algorithm and prove the event-triggered schemes are free of Zeno behaviour. Under the proposed algorithm, the second-order agents exponentially converge to the exact optimal decision of the resource allocation problem, and the burden of communication is reduced effectively. Finally, a simulation of the economic dispatch problem is given to illustrate the effectiveness of the authors' results.
ISSN:1751-8644
1751-8652
DOI:10.1049/iet-cta.2019.1169