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Abstract
In this paper, we are concerned with the consensus of the forth-order discrete-time multiagent system in directed networks. First, by defining a group of new variables, the multiagent system is converted to the corresponding reduced order system. Based on the stability of the reduced order system, we discuss the consensus of the original multiagent system. Then, two necessary and sufficient conditions for the consensus of the forth-order discrete-time multiagent system are established by using the related knowledge of algebraic graph theory and matrix theory. Compared with the existing results, the obtained conditions of this paper are more extensive. In order to reduce the number of information exchange between agents, we use event-triggered mechanism to deal with the consensus of the multiagent system. Furthermore, Zeno behavior of multiagent system will not make an appearance due to the reasonable design of the triggering function. A numerical example is finally given to demonstrate the effectiveness of theoretical results.
Highlights
The multiagent system, as a new distributed computing technology and tool for complex system analysis, has been developed rapidly since 1970
CONSENSUS ANALYSIS The following theorem clearly shows how non-zero eigenvalues of the Laplacian matrix L and the coupling strengths affect the consensus of system (3)
In this paper, we have studied the consensus of the forth-order discrete-time multiagent system in directed networks
Summary
The multiagent system, as a new distributed computing technology and tool for complex system analysis, has been developed rapidly since 1970. Z. Yu et al.: Study on Consensus of the Forth-Order Discrete-Time Multiagent System in Directed Networks the consensus problem of the second-order multiagent system with white noise and Markovian switching topologies was investigated in [25]. Various systems with the jerk, for instance, double-integrator multiagent systems [39], 2-D underactuated overhead crane systems [40], were investigated and some interesting results were presented Despite all these developments, the consensus of the forth-order discrete-time multiagent system with the jerk has not been studied. The consensus of the forth-order discrete-time multiagent system with the jerk has not been studied This is one of the motivations of this paper.
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