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Distributed Observer Design for Linear Systems to Achieve Omniscience Asymptotically Under Jointly Connected
IEEE Transactions on Cybernetics
|November 18, 2021
Summary
This study presents a new distributed observer design for linear systems with time-varying, disconnected communication networks. The method enables full state reconstruction even with decentralized information, applicable to stable and unstable systems.
Area of Science:
- Control Systems Engineering
- Networked Systems
- Distributed Computing
Background:
- The distributed observer problem arises when system output information is spread across subsystems.
- Existing research inadequately addresses time-varying and disconnected communication networks in observer design.
- Subsystems form a network, sharing partial output and exchanged information.
Purpose of the Study:
- To design a distributed observer for linear systems with time-variant, disconnected communication networks.
- To account for both completely and incompletely decentralized output information.
- To overcome limitations of existing methods requiring fast switching for state reconstruction.
Main Methods:
- Developing a design method for distributed observers under challenging network conditions.
- Establishing sufficient conditions for the system matrix in completely decentralized cases.
- Utilizing observable decomposition and state reorganization for incompletely decentralized cases.
Main Results:
- Achieved asymptotic omniscience of the distributed observer under sufficient conditions for completely decentralized output.
- Demonstrated applicability to stable, marginally stable, and some unstable systems.
- Showed asymptotic omniscience without system matrix constraints for incompletely decentralized output.
Conclusions:
- The proposed distributed observer design is effective for linear systems with time-varying, disconnected networks.
- The method successfully reconstructs full system states with decentralized information.
- Validated through two numerical simulations.
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