Active Synchronization for Double-Integrator Network Systems Without Velocity Information

Of particular interest in this paper is to study the active synchronization (act-synchronization) problem for double-integrator network systems without velocity information. To this end, scaling parameters are suggested to quantify the degree of act-synchronization for different agents. And weighted...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. I, Regular papers Regular papers, 2022-06, Vol.69 (6), p.2589-2600
Main Authors: Zhang, Wentao, Zuo, Zhiqiang, Wang, Yijing
Format: Article
Language:English
Subjects:
active synchronization
Buses (vehicles)
Double integrators
Eigenvalues
Eigenvalues and eigenfunctions
Graph theory
IEEE 39-bus system
Land vehicles
Laplace equations
Mathematical analysis
Network system
Network systems
Parameters
Scaling
Symmetric matrices
Synchronism
Synchronization
Topology
Unmanned ground vehicles
unmanned ground vehicles system
velocity constraint
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Summary:Of particular interest in this paper is to study the active synchronization (act-synchronization) problem for double-integrator network systems without velocity information. To this end, scaling parameters are suggested to quantify the degree of act-synchronization for different agents. And weighted gains are employed to assure that there is a simple zero eigenvalue with the other ones sharing positive real parts. An auxiliary variable is introduced to mitigate the unavailability on velocity information. Thus only the directed spanning tree requirement in the content of algebraic graph theory is required. This exhibits a clear distinction from signed-graph or scaled consensus as non-unitary signs for scaling parameter and weighted gain are allowed. It is shown that the condition for act-synchronization is related to weighted gain, scaling parameter, the real and imaginary parts of the involved eigenvalues. With the constraint on identical weighted gain and scaling parameter for position and auxiliary variables, it is proven that act-synchronization can be exponentially guaranteed using the Lyapunov-based technique. Finally, the multiple unmanned ground vehicles system and the 10-generator in IEEE 39-bus system are given to facilitate the proposed configuration and the theoretical findings.
ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2022.3151310