Event-Based Consensus for General Linear Multiagent Systems under Switching Topologies

Sun, Yinshuang; Ji, Zhijian; Liu, Kaien

doi:10.1155/2020/5972749

Cited by 26 publications

(15 citation statements)

References 38 publications

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“…Remark For the event‐triggered consensus problem of linear systems, the model‐based event‐triggered methodology is commonly used to design consensus protocols, as in References 29,31,37,38. Although continuous communication is avoided in these works, continuous controller updates are still required, leading to huge energy consumption.…”

Section: Resultsmentioning

confidence: 99%

“…With this context in mind, event‐triggered consensus has emerged recently, where each agent independently decides when to trigger an event by evaluating the pre‐designed triggering condition such that continuous communication and controller updates can be excluded. In view of this line, some recent works 28‐31 were made toward achieving asymptotic event‐triggered consensus for multi‐agent systems. To achieve fast convergence, the authors of References 32‐38 proposed finite‐time event‐triggered protocols for multi‐agent consensus of integrator‐type and linear systems, respectively.…”

Section: Introductionmentioning

confidence: 99%

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Distributed fixed‐time event‐triggered consensus of linear multi‐agent systems with input delay

Wang

2021

Intl J Robust & Nonlinear

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This article investigates the distributed fixed-time event-triggered consensus problem for linear multi-agent systems with input delay. The Artstein-Kwon-Pearson reduction approach is used to convert the delay-dependent system to a delay-free one. Based on the delay-free system, two distributed event-triggered protocols are designed based on local information exchange to address the leaderless consensus and the leader-follower consensus problems. In the proposed consensus protocols, both continuous controller updates and continuous communication as well as the Zeno behavior are successfully excluded. Detailed convergence analysis demonstrates that the closed-loop system is fixed-time stable regardless of the initial conditions.Finally, some simulation examples are provided to validate the theoretical results. K E Y W O R D Sevent-triggered consensus, fixed-time convergence, input delay, multi-agent systems INTRODUCTIONRecent years have witnessed considerable developments of consensus of multi-agent systems. 1 The driving force behind the research on this problem partly comes from its wide applications in sensor networks, 2 UAV formation, 3 and salvo attack of missiles. 4 The leaderless consensus and the leader-follower consensus are two fundamental problems in this area, which have been widely investigated in the existing works [5][6][7][8] and are also the focus of this article. Convergence time is an important performance index for multi-agent consensus from a practical point of view. Indeed, designing consensus protocols with finite-time stability, instead of asymptotic stability, contributes to better performance in higher precision, stronger robustness, and faster convergence rate. 9 However, lack of uniform boundedness of the settling time function regardless of the initial conditions restricts the practical applications of the existing finite-time consensus algorithms. 10,11 As an extension of the finite-time stability, the fixed-time stability, first referred in Reference 12, guarantees the settling time to be globally uniformly bounded regardless of the initial conditions. To this end, much effort has been made toward achieving fixed-time multi-agent consensus for first-or second-order systems. [13][14][15] Moreover, output-feedback based distributed algorithms were designed in References 16-18 to achieve the fixed-time consensus of second-order systems. Compared with first-or second-order systems, it is known that high-order systems are more attractive but technically challenging. With this in mind, the authors of References 19-22 considered the fixed-time consensus problem for multi-agent systems with high-order integrator-type dynamics, and the results concerning robust fixed-time consensus with parametric uncertainties were presented in References 23,24. In addition, the bipartite fixed-time consensus problem 2526

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Distributed fixed‐time event‐triggered consensus of linear multi‐agent systems with input delay

Wang

2021

Intl J Robust & Nonlinear

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“…Since then, many results of event-triggeredbased NMASs have been reported. For example, considering the consensus problem of NMASs with fixed/switching topologies, Wu et al [38] proposed a distributed eventtriggered control protocol, Sun et al [39] proposed a leaderfollowing consensus of the NMASs under the fixed/ switching topologies, and Jia and Tang [40] proposed an event-triggered control protocol in an NMAS where a nonlinear-function-type couple among neighboring agents must be considered. In an NMAS, an event-triggered mechanism can simplify calculations and decrease the wear of the actuator.…”

Section: Introductionmentioning

confidence: 99%

Event-Triggered-Based External Consensus Protocol of RBF-ARX-Model-Based Networked Multiagent Systems with Nonlinear Dynamics and Communication Delays

Luo

2021

Discrete Dynamics in Nature and Society

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An event-triggered-based external consensus control protocol with delay compensation for networked multiagent systems (NMASs) with nonlinear dynamics and network-induced delays is discussed in this paper. An RBF-ARX modelling method is adopted to approximate a nonlinear system. By utilizing the RBF-ARX model, the locally linearized time series model can be obtained to describe the behaviour of agents with nonlinear characteristics. An event-triggered control protocol with communication delay compensation is proposed to reduce the effects of network-induced delays and the times of the agent’s control update and communication between others by applying the idea of a prediction strategy. The event-triggered mechanism for each agent only depends on the deviation between its own output and the delay-compensated output of neighboring agents. Then, a distributed event-triggered-based and delay-compensated external consensus control protocol is given. Under this proposed control protocol, both the consensus and stability of the system can be proved. Finally, a numerical simulation is performed to verify the availability of our results.

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“…As an important basis of cooperative control, consensus is widely used in robot formation control, UAV task assignment, smart grid and so on. Therefore, great achievements have been obtained in the study of consensus problem Richert & Cortés, 2013;Sakurama & Ahn, 2019;Sun et al, 2020Sun et al, , 2019Zhang et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Event-triggered consensus control for general second-order multi-agent systems

Liu

2020

Systems Science & Control Engineering

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The consensus problem of multi-agent systems with general second-order dynamics is studied. A distributed event-triggering strategy is proposed to reduce the communication frequency of agents and the update frequency of event-triggering controller. Under the fixed topology, a consensus protocol and event-triggering function are designed for each agent. The sufficient conditions of consensus are obtained by the stability theory, and the theoretical proof of excluding Zeno behaviour is presented. Finally, a simulation example is given to illustrate the effectiveness of the obtained results.

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Event-Based Consensus for General Linear Multiagent Systems under Switching Topologies

Cited by 26 publications

References 38 publications

Distributed fixed‐time event‐triggered consensus of linear multi‐agent systems with input delay

Distributed fixed‐time event‐triggered consensus of linear multi‐agent systems with input delay

Event-Triggered-Based External Consensus Protocol of RBF-ARX-Model-Based Networked Multiagent Systems with Nonlinear Dynamics and Communication Delays

Event-triggered consensus control for general second-order multi-agent systems

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