Second-order consensus of nonlinear multi-agent systems with restricted switching topology and time delay

Chen, Kairui; Wang, Junwei; Zhang, Yun; Liu, Zhi

doi:10.1007/s11071-014-1483-1

Cited by 48 publications

(19 citation statements)

References 28 publications

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“…In [12], the authors investigated the leader-following stationary consensus problem for second-order multiagent systems with time-varying communication delay and switching topology. In [13], the authors proposed a distributed protocol for consensus of second-order multiagent systems with inherent nonlinear dynamics and communication time delay. In [14], the authors solved control problems of agents achieving consensus motions in presence of nonuniform time delays.…”

Section: Introductionmentioning

confidence: 99%

Consensus of Fractional-Order Multiagent Systems with Double Integral and Time Delay

Liu

Chen

Qin

et al. 2018

Mathematical Problems in Engineering

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This paper is devoted to the consensus problems for a fractional-order multiagent system (FOMAS) with double integral and time delay, the dynamics of which are double-integrator fractional-order model, where there are two state variables in each agent. The consensus problems are investigated for two types of the double-integrator FOMAS with time delay: the double-integrator FOMAS with time delay whose network topology is undirected topology and the double-integrator FOMAS with time delay whose network topology is directed topology with a spanning tree in this paper. Based on graph theory, Laplace transform, and frequency-domain theory of the fractional-order operator, two maximum tolerable delays are obtained to ensure that the two types of the doubleintegrator FOMAS with time delay can asymptotically reach consensus. Furthermore, it is proven that the results are also suitable for integer-order dynamical model. Finally, the relationship between the speed of convergence and time delay is revealed, and simulation results are presented as a proof of concept.

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Section: Introductionmentioning

confidence: 99%

Consensus of Fractional-Order Multiagent Systems with Double Integral and Time Delay

Liu

Chen

Qin

et al. 2018

Mathematical Problems in Engineering

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“…Several sufficient conditions for reaching almost surely second‐order local consensus were derived for the cases of time‐delay‐free coupling and time‐delay coupling, respectively. In the work of Chen et al, the consensus problem for second‐order multiagent systems with Lipschitz‐type nonlinear dynamics and switching topologies was studied using relative position information only. In the work of Xu et al, a linear consensus protocol was introduced for nonlinear multiagent systems with jointly connected switching topologies.…”

Section: Introductionmentioning

confidence: 99%

Disturbance observer–based consensus tracking for nonlinear multiagent systems with switching topologies

Jia

et al. 2017

Intl J Robust & Nonlinear

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Summary This paper considers the leader‐follower consensus tracking problem for nonlinear multiagent systems with external disturbances and switching topologies. A distributed disturbance observer is constructed to estimate the disturbances suffered by the followers. Then, a distributed consensus protocol is proposed for the consensus tracking problem with disturbance rejection under a fixed directed topology based on the disturbance observer. Next, this result is extended to the case in which the switching communication topology only frequently but not always contains a directed spanning tree. By selecting the parameters appropriately such that the communication time satisfies various preset conditions, it is theoretically proven that the consensus tracking with disturbance rejection can also be achieved by the multiagent systems. Finally, a simulation example is presented to demonstrate the performance of the proposed control scheme.

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“…In cooperative multi-agent networks, the study of consensus problems mainly focuses on analyzing how globally consensus behavior emerges as a result of local information interactions among individuals since the agents only share information with their neighbors locally [8][9][10]. Generally, each agent is equipped with a small and capability-limited embedded microprocessor, which is responsible for collecting information and actuating controller updates according to some rules.…”

Section: Introductionmentioning

confidence: 99%

Event-triggered control for multi-agent network with limited digital communication

Gao

Liao

et al. 2015

Nonlinear Dyn

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This paper considers the consensus problem of digital multi-agent networks by employing dynamic encode/decode technology and distributed event-triggered control strategy. In this paper, a novel integrated communication framework employing dynamic encode/decode technology and event-triggered control strategy is designed to describe the communication process in digital channels. According to this framework, a specific communication algorithm is provided in integrated communication environment. A distributed event-triggered condition that only depends on the local information of network agents is developed, and the relevant consensus analysis is given to explain the sufficiency and reasonability. Furthermore, a onebit quantized scheme is proposed concomitantly, from which it is shown that the global consensus can still be reached though the number of bits that are responsible for information exchange between agents at each quantized transmission is only one bit. Finally, simulation results are given to verify the effectiveness of proposed approach and the correctness of theoretical results.

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Second-order consensus of nonlinear multi-agent systems with restricted switching topology and time delay

Cited by 48 publications

References 28 publications

Consensus of Fractional-Order Multiagent Systems with Double Integral and Time Delay

Consensus of Fractional-Order Multiagent Systems with Double Integral and Time Delay

Disturbance observer–based consensus tracking for nonlinear multiagent systems with switching topologies

Event-triggered control for multi-agent network with limited digital communication

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