Abstract
In this paper, we explore the consensus control scheme of stochastic perturbed nonlinear multi-agent systems with impulsive protocol and comparison system method. The effective variable impulsive consensus method is used to remove the restriction of fixed impulsive instants, which is more reliable and flexible in practical applications. From the theory of impulsive differential system, comparison system and stochastic differential system, some sufficient consensus conditions are derived and the relation between the system parameters and impulsive time window is analyzed extensively. The effectiveness of the proposed control method is confirmed by the numerical simulations finally.
Highlights
The consensus topic of multi-agent systems (MAS) has obtained wide attention due to the potential and meaningful application in past few years, especially in the fields of mathematics, physics, engineering, biology, and so forth [1]–[5]
The consensus scheme of MAS consists of leaderless [6]–[8] and leader-following schemes [9]–[11]
It is of great significance to design distributed controller for leader-following consensus of MAS
Summary
The consensus (or synchronization) topic of multi-agent systems (MAS) has obtained wide attention due to the potential and meaningful application in past few years, especially in the fields of mathematics, physics, engineering, biology, and so forth [1]–[5]. Xiao et al.: Leader-Following Consensus of Stochastic Perturbed MAS it often occurs fluctuation between the actual instants and expected one This kind of impulse constraint wildly exists in real system and it is very significant to study the consensus of nonlinear MAS with impulsive time windows [35]. The main motivation of this works is to explore the variable impulsive consensus of stochastic perturbed MAS via comparison system method. As far as the authors know, there is few results combining comparison system approach with the variable impulsive consensus of stochastic perturbed MAS. Compared to the existing common impulsive control approach, the variable impulsive control techniques allow a certain imposing error of impulsive input, which is more robust, credible, practical and flexible in real system The organization of this literature is given as follows.
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