Robust consensus of fractional-order multi-agent systems with positive real uncertainty via second-order neighbors information

Song, Chao; Cao, Jinde; Yang-zheng, Liu

doi:10.1016/j.neucom.2015.03.019

Cited by 48 publications

(42 citation statements)

References 34 publications

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“…The problem of convergence speed adjustment of MASs with leader‐following structure is mainly studied in Reference , and the sufficient conditions for the system to achieve consistency are given. Based on the state information of two adjacent agents, the robust consistency of linear fractional‐order linear MASs with positive and real uncertainties is discussed in Reference . The global projection synchronization problem of fractional‐order neural networks is studied by adaptive control in Reference .…”

Section: Introductionmentioning

confidence: 99%

Leader‐following consensus of fractional‐order multi‐agent systems via adaptive control

Guo

Liu

et al. 2020

Adaptive Control & Signal

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Summary This article focuses on the consensus problem of leader‐following fractional‐order multi‐agent systems (MASs) with general linear and Lipschitz nonlinear dynamics. First, the distributed adaptive protocols for linear and nonlinear fractional‐order MASs are constructed, respectively. We allow the control coupling gains to be time varying for each agent. Moreover, the adaptive modification schemes for the control gain are designed, which renders smaller control gains and thus requires smaller amplitude on the control input without sacrificing consensus convergence. Second, based on fractional‐order Lyapunov stability theorem and Barbalat's lemma, two novel sufficient conditions in terms of linear matrix inequalities are provided to ensure that the leader‐following consensus can be obtained in the case for any undirected connected communication graph. Furthermore, we show that the proposed algorithm also works for consensus of agents with intrinsic Lipschitz nonlinear dynamics. As a result, the proposed framework requires no global information and thus can be implemented in a fully distributed manner. Finally, the numerical simulations are given to demonstrate the effectiveness of obtained the theoretical results.

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Section: Introductionmentioning

confidence: 99%

Leader‐following consensus of fractional‐order multi‐agent systems via adaptive control

Guo

Liu

et al. 2020

Adaptive Control & Signal

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“…It has been extensively studied by numerous researchers from different perspectives. There already exists a vast literature concerning first-order multi-agent systems [1][2][3][4], second-order multi-agent systems [5][6][7], fractional-order multi-agent systems [8][9][10], and fractional-order multiagent systems with a leader [11][12][13][14]. This paper is concerned with the last-mentioned case of systems, that is, we study a leader-following consensus for fractional multi-agent systems.…”

Section: Introductionmentioning

confidence: 99%

Leader-following consensus for fractional multi-agent systems

et al. 2019

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A leader-following consensus for Caputo fractional multi-agent systems with nonlinear intrinsic dynamics is investigated. The second Lyapunov method is used to design a control protocol ensuring a consensus for two types of multi-agent systems. Contrary to the previous studies on leader-following consensus, the investigation covers systems with bounded and unbounded time-dependent Lipschitz coefficients in the intrinsic dynamics. Moreover, coupling strength describing the interactions between agents is considered to be a function of time.

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“…Yang et al [19] presented the coordination algorithms for multi-agent systems with fractional dynamics, and carried out consensus of distributed fractional-order multi-agent systems with communication delays under directed connected topologies. By using the information of the second neighbors, Song et al addressed the robust consensus problem of fractional-order linear multi-agent systems with positive real uncertainty in [20].…”

Section: Introductionmentioning

confidence: 99%

Consensus of Fractional Multi‐Agent Systems Using Distributed Adaptive Protocols

Ren

2017

Asian Journal of Control

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This paper is concerned with the adaptive consensus problem of fractional multi-agent systems for both the linear and nonlinear cases. Distributed adaptive protocols are designed, respectively, for linear and nonlinear fractional multi-agent systems, under which consensus is achieved for any undirected connected communication graph without using any global information. Furthermore, the leader-following problem is studied as an extension. Finally, two numerical examples are given to demonstrate the effectiveness of the obtained results.

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Robust consensus of fractional-order multi-agent systems with positive real uncertainty via second-order neighbors information

Cited by 48 publications

References 34 publications

Leader‐following consensus of fractional‐order multi‐agent systems via adaptive control

Leader‐following consensus of fractional‐order multi‐agent systems via adaptive control

Leader-following consensus for fractional multi-agent systems

Consensus of Fractional Multi‐Agent Systems Using Distributed Adaptive Protocols

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