Distributed consensus control for discrete-time linear multi-agent systems with reduced-order observer

Wenhai Chen; Lixin Gao; Xiaole Xu; Bingbing Xu

Kybernetika (2015)

  • Volume: 51, Issue: 4, page 639-654
  • ISSN: 0023-5954

Abstract

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In this paper, we investigate multi-agent consensus problem with discrete-time linear dynamics under directed interaction topology. By assumption that all agents can only access the measured outputs of its neighbor agents and itself, a kind of distributed reduced-order observer-based protocols are proposed to solve the consensus problem. A multi-step algorithm is provided to construct the gain matrices involved in the protocols. By using of graph theory, modified discrete-time algebraic Riccati equation and Lyapunov method, the proposed protocols can be proved to solve the discrete-time consensus problem. Furthermore, the proposed protocol is generalized to solve the model-reference consensus problem. Finally, a simulation example is given to illustrate the effectiveness of our obtained results.

How to cite

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Chen, Wenhai, et al. "Distributed consensus control for discrete-time linear multi-agent systems with reduced-order observer." Kybernetika 51.4 (2015): 639-654. <http://eudml.org/doc/271797>.

@article{Chen2015,
abstract = {In this paper, we investigate multi-agent consensus problem with discrete-time linear dynamics under directed interaction topology. By assumption that all agents can only access the measured outputs of its neighbor agents and itself, a kind of distributed reduced-order observer-based protocols are proposed to solve the consensus problem. A multi-step algorithm is provided to construct the gain matrices involved in the protocols. By using of graph theory, modified discrete-time algebraic Riccati equation and Lyapunov method, the proposed protocols can be proved to solve the discrete-time consensus problem. Furthermore, the proposed protocol is generalized to solve the model-reference consensus problem. Finally, a simulation example is given to illustrate the effectiveness of our obtained results.},
author = {Chen, Wenhai, Gao, Lixin, Xu, Xiaole, Xu, Bingbing},
journal = {Kybernetika},
keywords = {multi-agent system; discrete-time system; distributed control; consensus; observer; multi-agent system; discrete-time system; distributed control; consensus; observer},
language = {eng},
number = {4},
pages = {639-654},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Distributed consensus control for discrete-time linear multi-agent systems with reduced-order observer},
url = {http://eudml.org/doc/271797},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Chen, Wenhai
AU - Gao, Lixin
AU - Xu, Xiaole
AU - Xu, Bingbing
TI - Distributed consensus control for discrete-time linear multi-agent systems with reduced-order observer
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 4
SP - 639
EP - 654
AB - In this paper, we investigate multi-agent consensus problem with discrete-time linear dynamics under directed interaction topology. By assumption that all agents can only access the measured outputs of its neighbor agents and itself, a kind of distributed reduced-order observer-based protocols are proposed to solve the consensus problem. A multi-step algorithm is provided to construct the gain matrices involved in the protocols. By using of graph theory, modified discrete-time algebraic Riccati equation and Lyapunov method, the proposed protocols can be proved to solve the discrete-time consensus problem. Furthermore, the proposed protocol is generalized to solve the model-reference consensus problem. Finally, a simulation example is given to illustrate the effectiveness of our obtained results.
LA - eng
KW - multi-agent system; discrete-time system; distributed control; consensus; observer; multi-agent system; discrete-time system; distributed control; consensus; observer
UR - http://eudml.org/doc/271797
ER -

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