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  4. Consensus control of multi-agent systems with input delays: a descriptor model approach

Consensus control of multi-agent systems with input delays: a descriptor model approach

MMC.
2019;
Volume 6, Number 2
: pp. 333–343
https://doi.org/10.23939/mmc2019.02.333
Received: October 15, 2019
Revised: November 13, 2019
Accepted: November 15, 2019

Mathematical Modeling and Computing, Vol. 6, No. 2, pp. 333–343 (2019)

Authors:
  1. L. M. Lyubchyk
  2. Y. I. Dorofieiev
1
National Technical University “Kharkiv Polytechnic Institute”
2
National Technical University “Kharkiv Polytechnic Institute”

This paper addresses the consensus control design for multi-agent systems with input time delay, which is unknown but bounded.  Descriptor transformation is used to obtain a model without delay for closed-loop individual agent.  The sufficient conditions for global consensus under directed communication topology are identified using Lyapunov--Krasovskii functional.  To analyze the stability of the networked multi-agent system based on the relationship between the agents the Lyapunov function method using corresponding comparison system is used.  The effectiveness of the proposed control design method is demonstrated through a numerical simulation example.

multi-agent system
consensus control
descriptor model
Lyapunov-Krasovskii functional
linear matrix inequality
semidefinite programming
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