Robust consensus of fractional multi-agent systems with external disturbances

Ren, Guojian; Yu, Yongguang

doi:10.1016/j.neucom.2016.08.088

Cited by 46 publications

(18 citation statements)

References 34 publications

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“…This means that Assumption 22 is satisfied. Alternatively, the case = 1 is derived in Theorem 2 of G. Ren and Yu [29].…”

Section: Complexitymentioning

confidence: 99%

“…Extensive introductory reviews of this topic can be found in W. Ren and Beard [21]; W. Ren and Cao [24]. Some of the ideas presented in those references have been generalized for fractional order systems, solely using the Caputo fractional derivative, for example: in Yu, Jiang, Hu, and Yu [25], an adaptive pinning control is used to realize leader-following consensus in a fractional multiagent system; Yin, Yue, and Hu [26] studied the consensus problem for fractional heterogeneous systems, made up of agents with different dynamics; Song, Cao, and Liu [27] proposed a distributed protocol to accomplish robust consensus, based on the information of second-order neighbors; Nava-Antonio et al [28] present sufficient conditions for consensus of multiagent systems with distributed fractional order; and G. Ren and Yu [29] gave conditions for fractional multiagent systems to achieve robust consensus, via Mittag-Leffler stability methods. That last article is the main inspiration of the second half of this paper, where we will extend the results of G. Ren and Yu [29] to be used in multiagent systems with five other fractional differentiation orders, with linear or nonlinear dynamics, and in the presence of external perturbations.…”

Section: Introductionmentioning

confidence: 99%

“…Linear case with perturbation, = 3.3 √ 26/23. Setting the parameters of the controller as = and 3 = 3 allows us to fulfill inequality(29) and, thus, according to Theorem 23, this system achieves consensus.…”

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confidence: 99%

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Consensus of Multiagent Systems Described by Various Noninteger Derivatives

et al. 2019

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In this paper, we unify and extend recent developments in Lyapunov stability theory to present techniques to determine the asymptotic stability of six types of fractional dynamical systems. These differ by being modeled with one of the following fractional derivatives: the Caputo derivative, the Caputo distributed order derivative, the variable order derivative, the conformable derivative, the local fractional derivative, or the distributed order conformable derivative (the latter defined in this work). Additionally, we apply these results to study the consensus of a fractional multiagent system, considering all of the aforementioned fractional operators. Our analysis covers multiagent systems with linear and nonlinear dynamics, affected by bounded external disturbances and described by fixed directed graphs. Lastly, examples, which are solved analytically and numerically, are presented to validate our contributions.

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“…This means that Assumption 22 is satisfied. Alternatively, the case = 1 is derived in Theorem 2 of G. Ren and Yu [29].…”

Section: Complexitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Consensus of Multiagent Systems Described by Various Noninteger Derivatives

et al. 2019

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“…For tackling the problem of disturbance, a high gain method was proposed to recompense for the effects of the external disturbances. In [24], a robust consensus for fractional MASs with external disturbances was investigated. Analyzing the disturbance rejection properties for both linear and nonlinear systems was through the combination of the tools of Mittag-Leffler stability theory, the inequality techniques and Laplace transform.…”

Section: Introductionmentioning

confidence: 99%

Leader-Following Multiple Unmanned Underwater Vehicles Consensus Control under the Fixed and Switching Topologies with Unmeasurable Disturbances

Yan

Liu³

et al. 2020

Complexity

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We propose a consensus control strategy for multiple unmanned underwater vehicles (multi-UUVs) with unmeasurable disturbances under the fixed and switching topologies. The current methods presented in the literature mainly solve tracking consensus problems with the disturbances under the time-invariant and time-varying topologies, respectively. In the paper, considering the complex nonlinear and couple model of the UUV, the technique of the feedback linearization is employed to transform the nonlinear UUV model into a second-order integral UUV model. For unmeasurable disturbances consisting of unknown model uncertainties and external disturbance for each UUV, we design the distributed extended state observer (DESO) to estimate the disturbances using the UUV position information relative to its neighbours. Moreover, leader-following multi-UUVs consensus control algorithm that enables all following UUVs to track the leader UUV state information based on the estimation state information from the DESO is proposed for two types of topologies, the fixed and switching topologies. Finally, simulation results are shown to demonstrate the effectiveness of the algorithm proposed in the paper.

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“…Robust consensus of FOMAS with external disturbances over a directed fixed topology has been studied in Ref. [34]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Leader-following consensus of discrete-time fractional-order multi-agent systems

Shahamatkhah

2018

Chinese Phys. B

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Leader-following consensus of fractional order multi-agent systems is investigated. The agents are considered as discrete-time fractional order integrators or fractional order double-integrators. Moreover, the interaction between the agents is described with an undirected communication graph with a fixed topology. It is shown that the leader-following consensus problem for the considered agents could be converted to the asymptotic stability analysis of a discrete-time fractional order system. Based on this idea, sufficient conditions to reach the leader-following consensus in terms of the controller parameters are extracted. This leads to an appropriate region in the controller parameters space. Numerical simulations are provided to show the performance of the proposed leader-following consensus approach.

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Robust consensus of fractional multi-agent systems with external disturbances

Cited by 46 publications

References 34 publications

Consensus of Multiagent Systems Described by Various Noninteger Derivatives

Consensus of Multiagent Systems Described by Various Noninteger Derivatives

Leader-Following Multiple Unmanned Underwater Vehicles Consensus Control under the Fixed and Switching Topologies with Unmeasurable Disturbances

Leader-following consensus of discrete-time fractional-order multi-agent systems

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