Synchronization of delayed complex dynamical networks with actuator failure by event-triggered pinning control

Meng, Liang; Bao, Haibo

doi:10.1016/j.physa.2022.128138

“…The constant matrix in this research is unknown, which is different from the researches on synchronization and tracking control of CDN in the Refs. [34,35,25]. (c).…”

Section: Model Description Of Cdn and Give The Relevant Mathematical ...mentioning

confidence: 99%

Model following adaptive control for nodes in complex dynamical network via the state observer of links

Li

¹

,

Wang

²

,

Li

³

2022

Preprint

0

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Geometrically, a complex dynamical network (CDN) can be regarded as the interconnected system composed of the node subsystem (NS) and the link subsystem (LS) coupled with each other. Guided by this idea, in order to achieve the goal of each node following asymptotically its own reference target in a CDN, this paper investigates the model following adaptive control (MFAC) problem of NS via the dynamics of links, which implies that the LS plays the important dynamic auxiliary role in the MFAC realization of nodes. Meanwhile, we focus on the condition that the links state information is unavailable, due to sensor practical application and measurement cost constraints. To obviate this restriction, we construct the asymptotical state observer for the LS. Next, to achieve the control goal of this paper, an appropriate Lyapunov candidate function is selected, by which the MFAC scheme for NS is synthesized based on the state observer of LS. Finally, the simulation example is performed to demonstrate the theoretical results in this paper.

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“…Therefore, studying the problem of consensus under switching topology is more consistent with some practical networks. In addition, pinning control is often used in multi-agent systems, it only needs to control a part of the agent [23,24]. When the topology structure is unfixed, this leads to the selection of the pinning node unfixed.…”

Section: Introductionmentioning

confidence: 99%

Consensus of multi-agent systems with randomly occurring nonlinearities via uncertain pinning control under switching topologies *

Sui,

Yang,

Wang

2023

Preprint

0

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This paper is focused on the consensus problem of multi-agent systems via uncertain pinning control under switching topologies. The stochastic disturbances and randomly occurring nonlinearities are proposed to describe more realistic systems. The communication topology is modeled by a directed graph and it is divided into two cases, the consensus problem is discussed in these two cases. In addition, there exist some uncertain pinning connections between the followers and leader due to switching topologies, the distributed control protocol is designed to satisfy the follower asymptotically converge to the leader. By constructing suitable multiple Lyapunov functions and utilizing tools of M-matrix theory, some sufficient consensus criteria are deduced to reach this goal. Finally, two examples are given to verify the correctness of the proposed method.

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Model following adaptive control for nodes in complex dynamical network via the state observer of links

Li,

Wang,

Li

2024

Math Methods in App Sciences

1

0

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Geometrically, a complex dynamical network (CDN) can be regarded as the interconnected system composed of the node subsystem (NS) and the link subsystem (LS) coupled with each other. Guided by this idea, in order to achieve the goal of each node following asymptotically its own reference target in a CDN, this paper investigates the model following adaptive control (MFAC) problem of NS via the dynamics of links, which implies that the LS plays the important dynamic auxiliary role in the MFAC realization of nodes. Meanwhile, we focus on the condition that the links state information is unavailable, due to sensor practical application and measurement cost constraints. To obviate this restriction, we construct the asymptotical state observer for the LS. Next, to achieve the control goal of this paper, an appropriate Lyapunov candidate function is selected, by which the MFAC scheme for NS is synthesized based on the state observer of LS. Finally, the simulation example is performed to demonstrate the theoretical results in this paper.

show abstract

Synchronization of delayed complex dynamical networks with actuator failure by event-triggered pinning control

Cited by 9 publications

References 33 publications

Model following adaptive control for nodes in complex dynamical network via the state observer of links

Model following adaptive control for nodes in complex dynamical network via the state observer of links

Consensus of multi-agent systems with randomly occurring nonlinearities via uncertain pinning control under switching topologies *

Model following adaptive control for nodes in complex dynamical network via the state observer of links

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