Finite-time consensus of input delayed multi-agent systems via non-fragile controller subject to switching topology

Sakthivel, R.; Kanakalakshmi, S.; Kaviarasan, B.; Ma, Youjie; Leelamani, A.

doi:10.1016/j.neucom.2018.10.030

Cited by 54 publications

(20 citation statements)

References 34 publications

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“…Investigating our approach to design a control law that guarantees the follower agents tracking their corresponding leaders in each subgroup (group consensus) [37] does also represent an interesting research venue. Other impor-tant directions of further investigation are scaled consensus with and without time delay [38][39][40] for fractional multi-agent systems problems. Those problems will be studied in subsequent papers.…”

Section: Discussionmentioning

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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Section: Discussionmentioning

confidence: 99%

Leader-following consensus for fractional multi-agent systems

et al. 2019

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“…in [39]. There exist recent results for consensus of high-order MAS based on finitetime control ( [40], [41]) and fixed-time control ( [9]- [15]). All of them are autonomous protocols not able to achieve a constant convergence time and only an overestimation of it is possible.…”

Section: A Related Workmentioning

confidence: 99%

Robust Leader-Following Consensus of High-Order Multi-Agent Systems in Prescribed Time

et al. 2020

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This paper addresses the distributed prescribed-time leader-following consensus problem for a class of high-order multi-agent systems (MASs) with perturbed nonlinear agents dynamics and where the topology of the network contains a directed spanning tree, with the leader as the root. Prescribedtime consensus means that an agreement state of the MAS is achieved in a preset time, introduced as a parameter of the control law, and this constant settling time is achieved independently of the agents' initial state. The proposed control method exhibits three main advantages: first, to our best knowledge, it is the first time that prescribed-time convergence in a consensus problem is achieved for agents with highorder nonlinear dynamics, using a robust leader-following protocol, which allows an effective rejection of matched disturbances in the agents' model. Second, the proposed controller provides control signals of lower magnitude than existing approaches. Third, the proposed consensus protocol does not have parameters to be adjusted depending on the connectivity of the considered communication graph. INDEX TERMS Multi-agent systems, distributed protocol, high-order systems, prescribed-time consensus, time base generators (TBGs).

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“…Combining the finite-time Lyapunov theory and graph theory, in [15], [16], distributed finite-time control algorithms were designed for first-order and second-order linear MASs. Another FTC algorithm was proposed in [17], where the switching topology was taken into account. In [18], higherorder FTC protocol for heterogeneous MASs was developed.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Fast Finite-Time Consensus for Second-Order Uncertain Nonlinear Multi-Agent Systems With Unknown Dead-Zone

et al. 2020

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This paper presents an adaptive fast finite-time consensus (FTC) for second-order uncertain nonlinear (UN) multi-agent systems (MASs) with unknown nonsymmetric dead-zone and external disturbances. In the process of control protocols design, based on the estimation of the dead-zone width that is obtained by using adaptive method, a fuzzy logic dead-zone compensator is adopted to deal with the nonsymmetric dead-zone input phenomenon. Combining finite-time control technique and Lyapunov's relevant theory, a new fast FTC protocol is developed. Based on the basis of radial basis function neural networks (RBFNNs) theories, the unknown nonlinear functions are approximated. Under the presented consensus protocols and adaptive laws, it can be proved that the position errors of arbitrary two agents can reach a small region of zero in finite time as well as the velocity errors. Ultimately, the effectiveness of the designed method is tested via two numerical examples.

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Finite-time consensus of input delayed multi-agent systems via non-fragile controller subject to switching topology

Cited by 54 publications

References 34 publications

Leader-following consensus for fractional multi-agent systems

Leader-following consensus for fractional multi-agent systems

Robust Leader-Following Consensus of High-Order Multi-Agent Systems in Prescribed Time

Adaptive Fast Finite-Time Consensus for Second-Order Uncertain Nonlinear Multi-Agent Systems With Unknown Dead-Zone

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