“…Remark 1. Existing observer-based event-based synchronization results [19][20][21][22][23][24][25] have only considered linear event-triggered controllers, while the proposed observer-based nonlinear ETC scheme (2) also consists of a nonlinear function ℏ i (⋅). Here, the addition of the nonlinear part includes taking care of chattering phenomenon arising from imperfections of switching devices 28 in real-time implementation.…”
Section: Event-triggered Leaderless Synchronization Under Undirected Graphmentioning
confidence: 99%
“…For agents and observers, we define three different tracking error variables as follows: 𝜒 i = x i − x 0 , 𝜑 i = z i − z 0 , and 𝛿 i = 𝜒 i − 𝜑 i . Then, it is easy to obtain the following error systems by combining ( 21) and (22) as…”
Section: Event-triggered Leader-following Synchronization Under Directed Graphmentioning
confidence: 99%
“…Theorem 3. Consider the leader-following MASs in (21) with observer (22) in a directed graph, under Assumptions 1 and 3, finding matrices W and S such that Algorithm 1 holds with K = −B T S. Then, leader-following synchronization of MASs can be achieved under the observer-based nonlinear ETC law (22) and the triggering function (23).…”
Section: Event-triggered Leader-following Synchronization Under Directed Graphmentioning
confidence: 99%
“…• Compared with the existing observer-based linear ETC results [21][22][23][24][25][26][27] that entail global information, a novel observer-based hybrid ETC law is proposed that not only overcomes continuous communications among neighboring agents, but also is developed and implemented in a truly distributed way.…”
This article focuses on the problem of observer-based synchronization control of multi-agent systems (MASs) subject to chattering phenomenon. Considering that full states of agents are not available and the limited network bandwidth of MAS networks exists, a novel observer-based hybrid event-triggered communication (or called need-based communication) policy is exploited for synchronization of MASs, which is implemented in a fully distributed fashion without requiring any prior knowledge of global network parameters over an undirected graph. Then, to release the limitation of applications for the synchronous algorithm in undirected graphs, an observer-based hybrid event-triggered leader-follower protocol and corresponding to its static triggering policy are developed to study the tracking control problem in a directed graph. Besides, the dynamic triggering policy is proposed by introducing an extra key variable for the directed graph case to reduce considerable triggering instants compared with the static one, which also subsume several existing synchronization schemes as special cases. It is shown that the proposed observer-based event-triggered policies can guarantee that leaderless and leader-following synchronization with intermitted communications among agents. Moreover, Zeno behavior can be excluded. Finally, the practical merits of the proposed methods are corroborated using two numerical examples.
“…Remark 1. Existing observer-based event-based synchronization results [19][20][21][22][23][24][25] have only considered linear event-triggered controllers, while the proposed observer-based nonlinear ETC scheme (2) also consists of a nonlinear function ℏ i (⋅). Here, the addition of the nonlinear part includes taking care of chattering phenomenon arising from imperfections of switching devices 28 in real-time implementation.…”
Section: Event-triggered Leaderless Synchronization Under Undirected Graphmentioning
confidence: 99%
“…For agents and observers, we define three different tracking error variables as follows: 𝜒 i = x i − x 0 , 𝜑 i = z i − z 0 , and 𝛿 i = 𝜒 i − 𝜑 i . Then, it is easy to obtain the following error systems by combining ( 21) and (22) as…”
Section: Event-triggered Leader-following Synchronization Under Directed Graphmentioning
confidence: 99%
“…Theorem 3. Consider the leader-following MASs in (21) with observer (22) in a directed graph, under Assumptions 1 and 3, finding matrices W and S such that Algorithm 1 holds with K = −B T S. Then, leader-following synchronization of MASs can be achieved under the observer-based nonlinear ETC law (22) and the triggering function (23).…”
Section: Event-triggered Leader-following Synchronization Under Directed Graphmentioning
confidence: 99%
“…• Compared with the existing observer-based linear ETC results [21][22][23][24][25][26][27] that entail global information, a novel observer-based hybrid ETC law is proposed that not only overcomes continuous communications among neighboring agents, but also is developed and implemented in a truly distributed way.…”
This article focuses on the problem of observer-based synchronization control of multi-agent systems (MASs) subject to chattering phenomenon. Considering that full states of agents are not available and the limited network bandwidth of MAS networks exists, a novel observer-based hybrid event-triggered communication (or called need-based communication) policy is exploited for synchronization of MASs, which is implemented in a fully distributed fashion without requiring any prior knowledge of global network parameters over an undirected graph. Then, to release the limitation of applications for the synchronous algorithm in undirected graphs, an observer-based hybrid event-triggered leader-follower protocol and corresponding to its static triggering policy are developed to study the tracking control problem in a directed graph. Besides, the dynamic triggering policy is proposed by introducing an extra key variable for the directed graph case to reduce considerable triggering instants compared with the static one, which also subsume several existing synchronization schemes as special cases. It is shown that the proposed observer-based event-triggered policies can guarantee that leaderless and leader-following synchronization with intermitted communications among agents. Moreover, Zeno behavior can be excluded. Finally, the practical merits of the proposed methods are corroborated using two numerical examples.
“…By algebraic Riccati equationbased method and low-gain output-feedback mechanism, the observer-based protocol is designed to solve the issue of edge-consensus in [32]. e distributed observer-based tracking and containment control algorithms by using the event-triggered control method are, respectively, proposed for general linear systems with time delays in [33,34]. In [35], a novel distributed tracking control algorithm with input time delays is designed for leader-follower linear systems.…”
This paper considers the tracking and containment consensus for the general linear systems with input time delays under directed communication networks. The distributed observer-based algorithm on the basis of event-triggering mechanism will be designed by using only neighboring agents information. In this way, we can save network resource effectively. The event-based protocol with input time delays will be proposed for the leader-follower systems. Appropriate feedback gain matrices and trigger parameters can be designed by using Lyapunov stability theory. Based on the designed control algorithm, if the feedback gain matrices and the event trigger are designed appropriately, the leader-follower general linear system can eventually reach tracking and containment consensus. Then, two simulation results are provided to demonstrate the practicability of the theoretical analysis.
This paper studies event‐triggered containment control problem of multi‐agent systems (MASs) under deception attacks and denial‐of‐service (DoS) attacks. First, to save limited network resources, an event‐triggered mechanism is proposed for MASs under hybrid cyber attacks. Different from the existing event‐triggered mechanisms, the negative influences of deception attacks and DoS attacks are considered in the proposed triggering function. The communication frequencies between agents are reduced. Then, based on the proposed event‐triggered mechanism, a corresponding control protocol is proposed to ensure that the followers will converge to the convex hull formed by the leaders under deception attacks and DoS attacks. Compared with the previous researches about containment control, in addition to hybrid cyber attacks being considered, the nonlinear functions related to the states of the agents are applied to describe the deception attack signals in the MAS. By orthogonal transformation of deception attack signals, the containment control problem under deception attacks and DoS attacks is reformulated as a stability problem. Then, the sufficient conditions on containment control can be obtained. Finally, a set of simulation example is used to verify the effectiveness of the proposed method.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.