Leader-following consensus of multiple linear systems under switching topologies: An averaging method

Wei Ni; Xiaoli Wang; Chun Xiong

Kybernetika (2012)

  • Volume: 48, Issue: 6, page 1194-1210
  • ISSN: 0023-5954

Abstract

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The leader-following consensus of multiple linear time invariant (LTI) systems under switching topology is considered. The leader-following consensus problem consists of designing for each agent a distributed protocol to make all agents track a leader vehicle, which has the same LTI dynamics as the agents. The interaction topology describing the information exchange of these agents is time-varying. An averaging method is proposed. Unlike the existing results in the literatures which assume the LTI agents to be neutrally stable, we relax this condition, only making assumption that the LTI agents are stablizable and detectable. Observer-based leader-following consensus is also considered.

How to cite

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Ni, Wei, Wang, Xiaoli, and Xiong, Chun. "Leader-following consensus of multiple linear systems under switching topologies: An averaging method." Kybernetika 48.6 (2012): 1194-1210. <http://eudml.org/doc/251408>.

@article{Ni2012,
abstract = {The leader-following consensus of multiple linear time invariant (LTI) systems under switching topology is considered. The leader-following consensus problem consists of designing for each agent a distributed protocol to make all agents track a leader vehicle, which has the same LTI dynamics as the agents. The interaction topology describing the information exchange of these agents is time-varying. An averaging method is proposed. Unlike the existing results in the literatures which assume the LTI agents to be neutrally stable, we relax this condition, only making assumption that the LTI agents are stablizable and detectable. Observer-based leader-following consensus is also considered.},
author = {Ni, Wei, Wang, Xiaoli, Xiong, Chun},
journal = {Kybernetika},
keywords = {consensus; multi-agent systems; averaging method; consensus; multi-agent systems; averaging method; linear time invariant (LTI) agents},
language = {eng},
number = {6},
pages = {1194-1210},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Leader-following consensus of multiple linear systems under switching topologies: An averaging method},
url = {http://eudml.org/doc/251408},
volume = {48},
year = {2012},
}

TY - JOUR
AU - Ni, Wei
AU - Wang, Xiaoli
AU - Xiong, Chun
TI - Leader-following consensus of multiple linear systems under switching topologies: An averaging method
JO - Kybernetika
PY - 2012
PB - Institute of Information Theory and Automation AS CR
VL - 48
IS - 6
SP - 1194
EP - 1210
AB - The leader-following consensus of multiple linear time invariant (LTI) systems under switching topology is considered. The leader-following consensus problem consists of designing for each agent a distributed protocol to make all agents track a leader vehicle, which has the same LTI dynamics as the agents. The interaction topology describing the information exchange of these agents is time-varying. An averaging method is proposed. Unlike the existing results in the literatures which assume the LTI agents to be neutrally stable, we relax this condition, only making assumption that the LTI agents are stablizable and detectable. Observer-based leader-following consensus is also considered.
LA - eng
KW - consensus; multi-agent systems; averaging method; consensus; multi-agent systems; averaging method; linear time invariant (LTI) agents
UR - http://eudml.org/doc/251408
ER -

References

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