Sampled-data based structural controllability of multi-agent systems with switching topology

Lu, Zehuan; Ji, Zhijian; Zhang, Zhiqiang

doi:10.1016/j.jfranklin.2020.08.021

Cited by 22 publications

(7 citation statements)

References 29 publications

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“…Substituting (7) into the MASs (1) ,( 2) and output error (3), yields the closed-loop system: ˆˆĉol( ,..., ), col( ,..., ),…”

Section: ν ≥mentioning

confidence: 99%

“…Noticeably, most of existing results of cooperative consensus have a common drawback, that is, these methods adopted are only suitable for the case where agents have identical system matrix or state dimensions [6,7], and it strictly excludes the heterogeneous situation with nonidentical state dimensions. A key reason is that these controllers adopted need to be capable of accessing the relative state information of agent in relation to its neighbours.…”

Section: Introductionmentioning

confidence: 99%

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Cooperative robust consensus for linear heterogeneous multi-agent systems under switching topologies

Yan

Huang

Liu

2023

International Conference on Intelligent Systems, Communications, and Computer Networks (ISCCN 2023)

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In this note, we investigate cooperative robust consensus problem for a class of linear heterogeneous multi-agent systems (MASs) with parameter uncertainty in agents. All the agents can have nonidentical dynamic dimensions. By combining the communication network, a distributed dynamic compensator is established based on only the measurable output information of the exosystem, which provides an estimated value of the state of the exosystem for each agent. The distributed dynamic output feedback protocol (DDOFP) is proposed by utilizing the exosystem compensator, through which the cooperative robust consensus is achieved under switching topology by following output regulation framework. Here, we introduce the stabilization scheme for a class of liner switched systems to analyse the closed-loop stability, which avoids the dependence on the eigenvalues of Laplacian matrix, such that it is a fully distributed control strategy without any global information. Finally, the simulation example is illustrated to verify the feasibility and effectiveness of the theory results.

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“…Substituting (7) into the MASs (1) ,( 2) and output error (3), yields the closed-loop system: ˆˆĉol( ,..., ), col( ,..., ),…”

Section: ν ≥mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Cooperative robust consensus for linear heterogeneous multi-agent systems under switching topologies

Yan

Huang

Liu

2023

International Conference on Intelligent Systems, Communications, and Computer Networks (ISCCN 2023)

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show abstract

“…In [35], it was found that MAS can always maintain controllability after sampling. And [36] discovered that topology switching can ensure the controllability of MAS with uncontrollable subsystems. Although the sampling controllability of MAS has received attention, to date there has been little work devoted to the controllability of more general networked sampled-data systems that cannot be decoupled.…”

Section: Introductionmentioning

confidence: 99%

Controllability of Networked Sampled-data Systems

Yang¹,

Wang²,

Wang³

2022

Preprint

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The controllability of networked sampled-data systems with zero-order samplers on the control and transmission channels is explored, where single-and multi-rate sampling patterns are considered, respectively. The effects of sampling on controllability of networked systems are analyzed, with some sufficient and/or necessary controllability conditions derived. Different from the sampling control of single systems, the pathological sampling of node systems could be eliminated by the network structure and inner couplings under some conditions. While for singular topology matrix, the pathological sampling of single nodes will cause the entire system to lose controllability. Moreover, controllability of networked systems with specific node dynamics will not be affected by any periodic sampling. All the results indicate that whether a networked system is under pathological sampling or not is jointly determined by mutually coupled factors.

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“…Each individual updates their states through neighbor information, resulting in collective behaviors such as clustering and separation. Especially, many works of multi-agent systems had emerged, such as consensus Wang, Liu, Ji and Han (2020); Liu, Ji and Zhang (2020a); Sun, Ji and Liu (2020); Sun, Ji, Qi and Ma (2019), controllability Lu, Ji and Zhang (2020); Qu, Ji and Shi (2020); Ji, Lin, Cao, Qi and Ma (2021); Guan, Tian and Wang (2019); ; Liu, Ji and Ma (2020b); Lou, Ji and Qu (2020), observability ; ; Liu, Xu, Su, Wu and Bai (2019), stabilisability Guan and Kong (2019), optimal control Sun, Liu, Li and Niu (2018); Sun, Liu and Li (2020); Sun, Liu and Li (2021); Han, Ji and Qi (2020); Qi, Xie and Zhang (2020); Qi, Zhang and Wu (2018) and model-free adaptive control Hou and Xiong (2019).…”

Section: Introductionmentioning

confidence: 99%

Controllability and observability of linear multi-agent systems over matrix-weighted signed networks

Zhao¹,

Ji²,

Liu³

et al. 2022

Preprint

Self Cite

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In this paper, the controllability and observability of linear multi-agent systems over matrixweighted signed networks are analyzed. Firstly, the definition of equitable partition of matrixweighted signed multi-agent system is given, and the upper bound of controllable subspace and a necessary condition of controllability are obtained by combining the restriction conditions of the coefficient matrix and matrix weight for the case of fixed and switching topologies, respectively. The influence of different selection methods of coefficient matrices on the results is discussed. Secondly, for the case of heterogeneous systems, the upper bound of controllable subspace and the necessary condition of controllability are obtained when the dynamics of individuals in the same cell are the same. Thirdly, sufficient conditions for controllable and uncontrollable union graphs are obtained by taking advantage of the concept of switched systems and equitable partitions, respectively. Finally, a necessary condition of observability is obtained in terms of the dual system and the constraints of the coefficient matrix, and the relationship between the observability and the controllability of the matrix-weighted signed multi-agent systems is discussed.

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Sampled-data based structural controllability of multi-agent systems with switching topology

Cited by 22 publications

References 29 publications

Cooperative robust consensus for linear heterogeneous multi-agent systems under switching topologies

Cooperative robust consensus for linear heterogeneous multi-agent systems under switching topologies

Controllability of Networked Sampled-data Systems

Controllability and observability of linear multi-agent systems over matrix-weighted signed networks

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