Observer‐based positive edge consensus for directed nodal networks

Qian, Yuchen; Zhang, Wei; Ji, Mingming; Yan, Chenhang

doi:10.1049/iet-cta.2019.0945

Cited by 19 publications

(5 citation statements)

References 29 publications

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“…It should be noted that the control protocol designed in this paper is based on the undirected signed graphs, however, the corresponding distributed adaptive BTVF control protocol under directed signed graphs can be proposed based on the further work of this paper. Besides, the result of uniformly ultimately bounded is not strong in comparison with asymptotic stability, which may be solved by the observer-based method in [1] or the filter designed in [28]. Furthermore, there are many other improved PID control strategies that are also widely used and may be able to…”

Section: Discussionmentioning

confidence: 99%

“…Multi-agent systems (MASs) are derived from people's systematic abstraction of group behavior in nature and have become a key research direction for many researchers due to their broad applications. The researches on MASs mainly include: consensus control [1], [2], formation control [3], [4], cluster control [5], [6] and so on. Among them, the formation control of MASs has become one of the most meaningful fields, with a wide range of industrial and military applications.…”

Section: Introductionmentioning

confidence: 99%

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Distributed Adaptive Bipartite Time-Varying Formation Control for Heterogeneous Unknown Nonlinear Multi-Agent Systems

et al. 2021

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This paper investigates the bipartite time-varying formation control problem for a class of heterogeneous unknown nonlinear multi-agent systems. This bipartite time-varying formation is composed of two sub-formations whose relationship is opposite. By parameterization the unknown nonlinear items of all agents, a distributed adaptive proportional-integral protocol is presented under undirected signed topology to ensure the convergence of the bipartite time-varying formation error. Some sufficient conditions for choosing suitable control parameters are given. In the case of systems with external time-varying but bounded disturbances, the uniformly ultimate boundedness of the formation error and its integration can be guaranteed by the proposed control protocol. A simulative example is provided to illustrate the effectiveness of the proposed protocol.INDEX TERMS heterogeneous, multi-agent systems, distributed control, adaptive control, bipartite timevarying formation.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Distributed Adaptive Bipartite Time-Varying Formation Control for Heterogeneous Unknown Nonlinear Multi-Agent Systems

et al. 2021

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“…With the tremendous amount of studies on consensus theory (e.g. linear MASs (Deng and Sun, 2020;Olfati-Saber et al, 2007;Qian et al, 2020;Su et al, 2019b;Wang et al, 2017b), and nonlinear MASs (Wang et al, 2020;Zou et al 2019Zou et al , 2020Zou et al , 2021), many researchers discovered that consensus theory can be used to handle the issues of formation control for MASs. The consensus-based approach, as a new way to form specific formation, relies on relative states/outputs information among neighbouring agents.…”

Section: Introductionmentioning

confidence: 99%

Distributed adaptive time-varying formation control for Lipschitz nonlinear multi-agent systems

Yan

Zhang

Guo

et al. 2021

Transactions of the Institute of Measurement and Control

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In this paper, two kinds of distributed time-varying formation tracking problems for a class of Lipschitz nonlinear multi-agent systems are investigated, that is, the cases with leadless and leader-following formation. By devising a new type of edge-based adaptive algorithm, the controller of each agent can avoid the use of eigenvalues of Laplacian matrix in communication networks. The proposed algorithm only utilizes local information among neighbouring agents to form time-varying formation for nonlinear multi-agent systems with mismatched nonlinearities, and the formation tracking error is uniformly ultimately bounded. To accomplish the required time-varying formation characteristic, a predesigned formation compensation function is given. Finally, numerical simulation examples are presented to indicate the stability of the proposed algorithm, and a comparison is also given to show the superiority of the given algorithm.

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“…In the past few years, researchers have made considerable progresses in the consensus control area and many aspects of consensus control are fully investigated. Many important results have been analyzed and published about the consensus control for linear, second-order, and highorder MAS, as seen in [2][3][4][5][6][7]. Finite-time consensus problem also attracts much attention from researchers [8,9], and they mainly investigated how MAS can reach consensus within a certain time.…”

Section: Introductionmentioning

confidence: 99%

Consensus Control of Nonlinear Multiagent Systems with Incremental Quadratic Constraints and Time Delays

Wang

Song

Zhang

et al. 2020

Mathematical Problems in Engineering

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This paper considers the problem of consensus control for a class of nonlinear multiagent systems with incremental quadratic constraints and time delays. Each agent exchanges state information through a strongly connected communication topology. Based on the information obtained from neighboring agents, a distributed consensus protocol is designed. A delay-independent consensus condition is formed for the protocol to solve the consensus problem by employing Lyapunov–Krasovskii functional method. In order to deal with the nonlinear terms in matrix inequalities, an iterative algorithm is proposed by using the Schur complement lemma and the cone complementary linearization method. The nonlinearities under consideration are more general than many other nonlinearities considered in related literature studies since the incremental quadratic constraints include many other known nonlinearities as some special cases. Finally, we give a numerical example to illustrate the effectiveness of the proposed consensus control protocol.

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Observer‐based positive edge consensus for directed nodal networks

Cited by 19 publications

References 29 publications

Distributed Adaptive Bipartite Time-Varying Formation Control for Heterogeneous Unknown Nonlinear Multi-Agent Systems

Distributed Adaptive Bipartite Time-Varying Formation Control for Heterogeneous Unknown Nonlinear Multi-Agent Systems

Distributed adaptive time-varying formation control for Lipschitz nonlinear multi-agent systems

Consensus Control of Nonlinear Multiagent Systems with Incremental Quadratic Constraints and Time Delays

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