Distributed Recursive Projection Identification with Binary-Valued Observations

This paper investigates a distributed recursive projection identification problem with binary-valued observations built on a sensor network, where each sensor in the sensor network measures partial information of the unknown parameter only, but each sensor is allowed to communicate with its neighbor...

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Bibliographic Details
Published in:Journal of systems science and complexity 2021-10, Vol.34 (5), p.2048-2068
Main Authors: Wang, Ying, Zhao, Yanlong, Zhang, Ji-Feng
Format: Article
Language:English
Subjects:
Algorithms
Complex Systems
Control
Excitation
Mathematics
Mathematics and Statistics
Mathematics of Computing
Operations Research/Decision Theory
Projection
Sensors
Statistics
Systems Theory
Upper bounds
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Summary:This paper investigates a distributed recursive projection identification problem with binary-valued observations built on a sensor network, where each sensor in the sensor network measures partial information of the unknown parameter only, but each sensor is allowed to communicate with its neighbors. A distributed recursive projection algorithm is proposed based on a specific projection operator and a diffusion strategy. The authors establish the upper bound of the accumulated regrets of the adaptive predictor without any requirement of excitation conditions. Moreover, the convergence of the algorithm is given under the bounded cooperative excitation condition, which is more general than the previously imposed independence or persistent excitations on the system regressors and maybe the weakest one under binary observations. A numerical example is supplied to demonstrate the theoretical results and the cooperative effect of the sensors, which shows that the whole network can still fulfill the estimation task through exchanging information between sensors even if any individual sensor cannot.
ISSN:1009-6124
1559-7067
DOI:10.1007/s11424-021-1267-x