Decentralised Probabilistic Consensus Control for Stochastic Complex Dynamical Networks

Abstract

This letter is concerned with the consensus analysis and control problems for a class of stochastic complex dynamical networks (SCDNs) that consists of a large number of interconnected nodes. In particular, a unified probabilistic decentralised consensus control framework is established where decentralised randomised controllers are designed such that the individual subsystems in a network synchronise their states with each other to achieve consensus of the whole network. The proposed framework is quite general, where all the components within this framework including local controllers, systems' models, and communications between the subsystems of a complex system are modelled using probabilistic models. The general solution for arbitrary probabilistic models of the framework components is obtained then demonstrated on a class of linear Gaussian complex systems, thus obtaining the desired results. Furthermore, a numerical example is presented to illustrate the effectiveness and the usefulness of the theoretical development.

Publication DOI: https://doi.org/10.1109/LCSYS.2020.3004234
Divisions: Engineering & Applied Sciences > Mathematics
Additional Information: © 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Uncontrolled Keywords: Fully probabilistic design,consensus control,coupled stochastic complex systems,decentralised control,Control and Systems Engineering,Control and Optimization
Full Text Link:
Related URLs: https://ieeexpl ... cument/9123427/ (Publisher URL)
http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2020-06-23
Accepted Date: 2020-06-01
Authors: Herzallah, Randa ( 0000-0001-9128-6814)

Download

[img]

Version: Accepted Version

| Preview

Export / Share Citation


Statistics

Additional statistics for this record