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Abstract:
This study deals with the problem of gain-scheduled robust control for multi-agent linear parameter varying (LPV) systems with or without communication delays. The system matrices are assumed to depend on the scheduling parameters, which are supposed to be time-varying within a priori known bounds. First, a linear transformation matrix is constructed from the directed spanning tree of the communication topology of the agents, which equivalently transforms the robust consensus control problem of multi-agent LPV systems into the robust stability problem of a set of parameter-dependent systems. What's more, the effect of the time-varying communication delays is considered, and consensus condition in terms of linear matrix inequalities (LMIs) is derived by using the parameter-dependent Lyapunov-Krasovskii approach. Then, the control gain matrices are obtained through solving a convex optimization problem. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.
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Source :
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
ISSN: 1049-8923
Year: 2021
Issue: 2
Volume: 32
Page: 792-806
3 . 9 0 0
JCR@2022
ESI Discipline: ENGINEERING;
ESI HC Threshold:87
JCR Journal Grade:1
Cited Count:
WoS CC Cited Count: 4
SCOPUS Cited Count: 4
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 8