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In this paper, we consider the design problem of an unknown-input observer for distributed network systems under the existence of communication delays. In the proposed method, each node estimates all states and calculates inputs from its own estimate. It is assumed that the controller of each node is given by an observer-based controller. When calculating each node, the input values of the other nodes cannot be utilized. Therefore, each node calculates alternative inputs instead of the unknown inputs of the other nodes. The alternative inputs are generated by own estimate based on the feedback controller of the other nodes given by the assumption. Each node utilizes these values instead of the unknown inputs when calculating the estimation and delay compensation. The stability of the estimation error of the proposed observer is proven by a Lyapunov-Krasovskii functional. The stability condition is given by a linear matrix inequality (LMI). Finally, the result of a numerical simulation is shown to verify the effectiveness of the proposed method.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E103-A No.2 pp.469-477

- Publication Date
- 2020/02/01

- Publicized

- Online ISSN
- 1745-1337

- DOI
- 10.1587/transfun.2019MAP0012

- Type of Manuscript
- Special Section PAPER (Special Section on Mathematical Systems Science and its Applications)

- Category

Ryosuke ADACHI

Yamaguchi University

Yuh YAMASHITA

Hokkaido University

Koichi KOBAYASHI

Hokkaido University

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Ryosuke ADACHI, Yuh YAMASHITA, Koichi KOBAYASHI, "Distributed Observer over Delayed Sensor Networks for Systems with Unknown Inputs" in IEICE TRANSACTIONS on Fundamentals,
vol. E103-A, no. 2, pp. 469-477, February 2020, doi: 10.1587/transfun.2019MAP0012.

Abstract: In this paper, we consider the design problem of an unknown-input observer for distributed network systems under the existence of communication delays. In the proposed method, each node estimates all states and calculates inputs from its own estimate. It is assumed that the controller of each node is given by an observer-based controller. When calculating each node, the input values of the other nodes cannot be utilized. Therefore, each node calculates alternative inputs instead of the unknown inputs of the other nodes. The alternative inputs are generated by own estimate based on the feedback controller of the other nodes given by the assumption. Each node utilizes these values instead of the unknown inputs when calculating the estimation and delay compensation. The stability of the estimation error of the proposed observer is proven by a Lyapunov-Krasovskii functional. The stability condition is given by a linear matrix inequality (LMI). Finally, the result of a numerical simulation is shown to verify the effectiveness of the proposed method.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2019MAP0012/_p

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@ARTICLE{e103-a_2_469,

author={Ryosuke ADACHI, Yuh YAMASHITA, Koichi KOBAYASHI, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={Distributed Observer over Delayed Sensor Networks for Systems with Unknown Inputs},

year={2020},

volume={E103-A},

number={2},

pages={469-477},

abstract={In this paper, we consider the design problem of an unknown-input observer for distributed network systems under the existence of communication delays. In the proposed method, each node estimates all states and calculates inputs from its own estimate. It is assumed that the controller of each node is given by an observer-based controller. When calculating each node, the input values of the other nodes cannot be utilized. Therefore, each node calculates alternative inputs instead of the unknown inputs of the other nodes. The alternative inputs are generated by own estimate based on the feedback controller of the other nodes given by the assumption. Each node utilizes these values instead of the unknown inputs when calculating the estimation and delay compensation. The stability of the estimation error of the proposed observer is proven by a Lyapunov-Krasovskii functional. The stability condition is given by a linear matrix inequality (LMI). Finally, the result of a numerical simulation is shown to verify the effectiveness of the proposed method.},

keywords={},

doi={10.1587/transfun.2019MAP0012},

ISSN={1745-1337},

month={February},}

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TY - JOUR

TI - Distributed Observer over Delayed Sensor Networks for Systems with Unknown Inputs

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 469

EP - 477

AU - Ryosuke ADACHI

AU - Yuh YAMASHITA

AU - Koichi KOBAYASHI

PY - 2020

DO - 10.1587/transfun.2019MAP0012

JO - IEICE TRANSACTIONS on Fundamentals

SN - 1745-1337

VL - E103-A

IS - 2

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - February 2020

AB - In this paper, we consider the design problem of an unknown-input observer for distributed network systems under the existence of communication delays. In the proposed method, each node estimates all states and calculates inputs from its own estimate. It is assumed that the controller of each node is given by an observer-based controller. When calculating each node, the input values of the other nodes cannot be utilized. Therefore, each node calculates alternative inputs instead of the unknown inputs of the other nodes. The alternative inputs are generated by own estimate based on the feedback controller of the other nodes given by the assumption. Each node utilizes these values instead of the unknown inputs when calculating the estimation and delay compensation. The stability of the estimation error of the proposed observer is proven by a Lyapunov-Krasovskii functional. The stability condition is given by a linear matrix inequality (LMI). Finally, the result of a numerical simulation is shown to verify the effectiveness of the proposed method.

ER -