Leader-Following Consensus of Stochastic Perturbed Multi-Agent Systems via Variable Impulsive Control and Comparison System Method

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.

Leader-Following Consensus for Multi-Agent Systems With Asynchronous Control Modes Under Nonhomogeneous Markovian Jump Network Topology

“…The following lemma provides the asynchronous control synthesis conditions of the stochastic H ∞ leader-following consensus for multi-agent systems with (12), formulated in terms of PLMIs. Lemma 3.2: For prescribed scalars γ > 0 and µ, suppose that there exist 0 andF s ∈ R nu×n such that the following conditions hold: for…”

“…Furthermore, the consensus control problem can be generally divided into two types: one is the leaderless consensus control problem and the other is the leaderfollowing consensus control problem. Of the two, the leaderfollowing consensus algorithm under our consideration is designed according to the following scenario: the leader operates independently of the other agents and its trajectory is tracked by all other agents in a way that saves energy, reduces control costs, and improves communication orientation [9]- [12]. Following this trend, various methods have been proposed to deal with the leader-following consensus prob-lem on the premise of a fixed network topology.…”

Finite-Time Annular Domain Bounded Control of Itô-Type Stochastic Systems With Wiener and Poisson Random Disturbance

“…Then, the results are further developed in stochastic fuzzy affine systems in [3]. Some other excellent research results of stochastic systems can be found in [4]- [10] and their references.…”

Stability of Stochastic Delay Differential Systems With Variable Impulses Due to Logic Choice

“…Many significant results for control problem of stochastic effects have been made recently. For example, adaptive fuzzy control for stochastic high-order nonlinear systems was considered in [23,24], variable impulsive control for stochastic perturbed multiagent systems was researched in [25], the control design was proposed from different aspects in [26][27][28]. Stability problems of stochastic systems have also attracted the attention of many researchers.…”