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Research Papers

Leader-Following Consensus Control of General Linear Multi-Agent Systems With Diverse Time-Varying Input Delays

[+] Author and Article Information
Chengzhi Yuan

Mem. ASME
Department of Mechanical, Industrial
and Systems Engineering,
University of Rhode Island,
Kingston, RI 02881
e-mail: cyuan@uri.edu

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received April 20, 2017; final manuscript received November 15, 2017; published online December 22, 2017. Assoc. Editor: Yunjun Xu.

J. Dyn. Sys., Meas., Control 140(6), 061010 (Dec 22, 2017) (8 pages) Paper No: DS-17-1210; doi: 10.1115/1.4038649 History: Received April 20, 2017; Revised November 15, 2017

This paper addresses the problem of leader-following consensus control of general linear multi-agent systems (MASs) with diverse time-varying input delays under the integral quadratic constraint (IQC) framework. A novel exact-memory distributed output-feedback delay controller structure is proposed, which utilizes not only relative estimation state information from neighboring agents but also local real-time information of time delays and the associated dynamic IQC-induced states from the agent itself for feedback control. As a result, the distributed consensus problem can be decomposed into H stabilization subproblems for a set of independent linear fractional transformation (LFT) systems, whose dimensions are equal to that of a single agent plant plus the associated local IQC dynamics. New delay control synthesis conditions for each subproblem are fully characterized as linear matrix inequalities (LMIs). A numerical example is used to demonstrate the proposed approach.

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Figures

Grahic Jump Location
Fig. 1

Network graph (node 0 is the leader)

Grahic Jump Location
Fig. 2

Simulation results: (a) first state xi,1(t), (b) second state xi,2(t), (c) third state xi,3(t), and (d) fourth state xi,4(t)

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