Leader-Following Consensus of Heterogeneous Linear Multiagent Systems With Communication Time-Delays via Adaptive Distributed Observers

Luo, Shuyang; Xu, Xiang; Liu, Lu; Feng, Gang

doi:10.1109/tcyb.2021.3115124

Cited by 21 publications

(11 citation statements)

References 42 publications

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“…On the other hand, communication time delays are an inherent property and often cause the instability and poor performance of MASs. Therefore, consensus problems of MASs with communication time delays have been widely investigated 35‐43 . For example, the consensus problem of MASs under undirected and fixed topologies with constant delays was studied in Reference 36.…”

Section: Introductionmentioning

confidence: 99%

“…Consensus problems of homogeneous linear MASs with arbitrarily large but bounded time delays were addressed in References 38 and 39. The output consensus problems of more general heterogeneous linear MASs with constant, time‐varying, and distributed delays were investigated in References 40‐43.…”

Section: Introductionmentioning

confidence: 99%

“…It is noted that most of those existing works 22‐43 mentioned above address consensus problems of MASs by taking only either Markovian switching topologies or communication time delays into consideration. However, in real‐world applications, Markovian switching topologies and communication time delays often occur simultaneously and they should be handled at the same time.…”

Section: Introductionmentioning

confidence: 99%

“…Compared with related works, the main contributions of this work can be listed as follows:Compared to References 44 and 45, where homogeneous agent dynamics under both Markovian switching topologies and communication delays were considered, this work studies more general heterogeneous agent dynamics under the same constraints. Compared with most existing works on heterogeneous MASs under fixed or deterministic switching topologies, 40‐42 the Markovian switching topologies are considered in this article. Unlike those existing works, 40‐42 our work only requires the connectivity of the union graph, which is the mildest assumption on connectivity. Compared with heterogeneous MASs with Markovian switching topologies, 33,34,46 time‐varying communication delays are taken into account in this work, which is more accordant with engineering applications. …”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Mean square leader‐following consensus of heterogeneous multi‐agent systems with Markovian switching topologies and communication delays

Guo

Meng

Feng

2022

Intl J Robust & Nonlinear

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This article considers the mean square leader-following output consensus problem of heterogeneous multi-agent systems under randomly switching topologies and time-varying communication delays. By modeling the switching topologies as a time-homogeneous Markov process and taking the communication delays into consideration, a distributed observer is proposed to estimate the state of the leader. A novel distributed output feedback controller is then designed. By constructing a novel switching Lyapunov functional, an easily-verifiable sufficient condition to achieve the mean square leader-following output consensus is given. Finally, two simulation examples are presented to show the effectiveness of the proposed control scheme. K E Y W O R D Sheterogeneous multi-agent systems, Markovian switching topologies, mean square leader-following output consensus, time delays

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Mean square leader‐following consensus of heterogeneous multi‐agent systems with Markovian switching topologies and communication delays

Guo

Meng

Feng

2022

Intl J Robust & Nonlinear

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“…Platoons possess several characteristics. For instance, the dynamical model of the vehicles can be assumed to be linear or non-linear, or defined in continuous or discrete-time [16,39,14]. If all the vehicles have the same dynamic model, the platoon is called homogeneous [23,3,16]; otherwise, it is called heterogeneous [17].…”

Section: Introductionmentioning

confidence: 99%

Mean square stability conditions for platoons with lossy inter-vehicle communication channels

Gordon¹,

Vargas²,

Peters³

2022

Preprint

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This paper studies the mean-square stability of heterogeneous LTI vehicular platoons with inter-vehicle communication channels affected by random data loss. We consider a discrete-time platoon system with predecessor following topology and constant time-headway spacing policy. Lossy channels are modeled by Bernoulli processes allowed to be correlated in space. We make use of a class of compensation strategies to reduce the effect of data loss. Necessary and sufficient conditions are derived to guarantee the convergence of the mean and variance of the tracking errors, which depend not only on the controller design but also on the compensation strategy and the probabilities of successful transmission. Through numerical simulations, we illustrate the theoretical results, describing different platoon behaviors. We also provide insights on the mean-square stability as a necessary condition for string stability in this stochastic setting.

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Stochastic distributed tracking of heterogeneous multi‐agent systems with Markovian switching topologies and infinite delays

Guo,

Feng,

2024

Intl J Robust & Nonlinear

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This article investigates the distributed mean square output tracking problem of heterogeneous multi‐agent systems with Markovian switching topologies and infinite transmission delays. The main challenge of the concerned problem arises from how to deal with Markovian switching topologies and infinite transmission delays simultaneously. A novel distributed observer is developed based on a newly proposed Lyapunov functional method. Then, a distributed controller based on the distributed observer is developed. It is shown that the stochastic distributed tracking problem is solved in the sense of mean square if the union graph of the underlying Markovian switching topology contains a spanning tree. A distinctive feature of the proposed controller is that the infinite delays are not required to be known. Finally, the effectiveness of the proposed controller is illustrated by two numerical examples.

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Leader-Following Consensus of Heterogeneous Linear Multiagent Systems With Communication Time-Delays via Adaptive Distributed Observers

Cited by 21 publications

References 42 publications

Mean square leader‐following consensus of heterogeneous multi‐agent systems with Markovian switching topologies and communication delays

Mean square leader‐following consensus of heterogeneous multi‐agent systems with Markovian switching topologies and communication delays

Mean square stability conditions for platoons with lossy inter-vehicle communication channels

Stochastic distributed tracking of heterogeneous multi‐agent systems with Markovian switching topologies and infinite delays

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