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

Yuyang Zhou*, Randa Herzallah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)216-233
Number of pages18
JournalAIMS Electronics and Electrical Engineering
Issue number2
Publication statusPublished - 10 Jun 2020

Bibliographical note

©2020 the Author(s), licensee AIMS Press. This
is an open access article distributed under the
terms of the Creative Commons Attribution License


  • Complex network control
  • Decentralised control
  • Fully probabilistic design
  • Message passing
  • Stochastic system control


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