### Abstract

The authors study an extended consensus problem for multi-agent systems, where the entire system is decentralised in the sense that each agent can only obtain information (states) from its neighbour agents. The concept'extended consensus'means that a combination of each agent's state elements is required to converge to the same vector. For this extended consensus problem, they propose to reduce the problem to a stabilisation problem with an appropriate transformation, and obtain a strict matrix inequality with respect to a Lyapunov matrix and a structured controller gain matrix. The authors then utilise a homotopy-based method for solving the matrix inequality effectively, and show the validity of the result by an example. The feature of the present algorithm is that it can deal with various additional control requirements such as convergence rate specification and actuator limitations.

Original language | English |
---|---|

Pages (from-to) | 2232-2238 |

Number of pages | 7 |

Journal | IET Control Theory and Applications |

Volume | 4 |

Issue number | 10 |

DOIs | |

Publication status | Published - 2010 Oct |

Externally published | Yes |

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### ASJC Scopus subject areas

- Control and Systems Engineering
- Electrical and Electronic Engineering
- Human-Computer Interaction
- Computer Science Applications
- Control and Optimization

### Cite this

*IET Control Theory and Applications*,

*4*(10), 2232-2238. https://doi.org/10.1049/iet-cta.2009.0567

**Extended consensus algorithm for multi-agent systems.** / Zhai, Guisheng; Okuno, S.; Imae, J.; Kobayashi, T.

Research output: Contribution to journal › Article

*IET Control Theory and Applications*, vol. 4, no. 10, pp. 2232-2238. https://doi.org/10.1049/iet-cta.2009.0567

}

TY - JOUR

T1 - Extended consensus algorithm for multi-agent systems

AU - Zhai, Guisheng

AU - Okuno, S.

AU - Imae, J.

AU - Kobayashi, T.

PY - 2010/10

Y1 - 2010/10

N2 - The authors study an extended consensus problem for multi-agent systems, where the entire system is decentralised in the sense that each agent can only obtain information (states) from its neighbour agents. The concept'extended consensus'means that a combination of each agent's state elements is required to converge to the same vector. For this extended consensus problem, they propose to reduce the problem to a stabilisation problem with an appropriate transformation, and obtain a strict matrix inequality with respect to a Lyapunov matrix and a structured controller gain matrix. The authors then utilise a homotopy-based method for solving the matrix inequality effectively, and show the validity of the result by an example. The feature of the present algorithm is that it can deal with various additional control requirements such as convergence rate specification and actuator limitations.

AB - The authors study an extended consensus problem for multi-agent systems, where the entire system is decentralised in the sense that each agent can only obtain information (states) from its neighbour agents. The concept'extended consensus'means that a combination of each agent's state elements is required to converge to the same vector. For this extended consensus problem, they propose to reduce the problem to a stabilisation problem with an appropriate transformation, and obtain a strict matrix inequality with respect to a Lyapunov matrix and a structured controller gain matrix. The authors then utilise a homotopy-based method for solving the matrix inequality effectively, and show the validity of the result by an example. The feature of the present algorithm is that it can deal with various additional control requirements such as convergence rate specification and actuator limitations.

UR - http://www.scopus.com/inward/record.url?scp=78149231444&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78149231444&partnerID=8YFLogxK

U2 - 10.1049/iet-cta.2009.0567

DO - 10.1049/iet-cta.2009.0567

M3 - Article

VL - 4

SP - 2232

EP - 2238

JO - IET Control Theory and Applications

JF - IET Control Theory and Applications

SN - 1751-8644

IS - 10

ER -