Probabilistic message passing control and FPD based decentralised control for stochastic complex systems

Abstract

This paper offers a novel decentralised control strategy for a class of linear stochastic large-scale complex systems. The proposed control strategy is developed to address the main challenges in controlling complex systems such as high dimensionality, stochasticity, uncertainties, and unknown system parameters. To overcome a wide range of domain of complex systems, the proposed strategy decomposes the complex system into several subsystems and controls the system in a decentralised manner. The global control objective is achieved by individually controlling all the local subsystems and then exchanging information between subsystems about their state values. This paper mainly focuses on the probabilistic communication between subsystems, therefore the detailed process of message-passing probabilistic framework is provided. For each subsystem, the regulation problem is considered, and fully probabilistic design (FPD) is applied to take the stochastic nature of complex systems into consideration. Also, since the governing equations of the system dynamics are assumed to be unknown, linear optimisation methods are employed to estimate the parameters of the subsystems. To demonstrate the effectiveness of the proposed control framework, a numerical example is given.

Publication DOI: https://doi.org/10.3934/ElectrEng.2020.2.216
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Engineering & Applied Sciences
Additional Information: ©2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
Uncontrolled Keywords: Complex network control,Decentralised control,Fully probabilistic design,Message passing,Stochastic system control,Computer Science Applications,Control and Systems Engineering,Electrical and Electronic Engineering
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
http://www.aims ... rEng.2020.2.216 (Publisher URL)
PURE Output Type: Article
Published Date: 2020-06-10
Accepted Date: 2020-05-28
Authors: Zhou, Yuyang ( 0000-0002-2188-2781)
Herzallah, Randa ( 0000-0001-9128-6814)

Download

[img]

Version: Published Version

License: Creative Commons Attribution

| Preview

Export / Share Citation


Statistics

Additional statistics for this record