Discrete Networked Dynamic Systems with Eigen-Spectrum Gap: Analysis and Performance

Year 2021, Volume: 4 Issue: 1, 33 - 44, 01.03.2021

Magdisadek Mahmoud , Bilal Karaki

https://doi.org/10.33401/fujma.815819

Cited By: 1

Abstract

This paper provides a detailed analysis and performance treatment of a class of discrete-time systems with an eigen-spectrum gap coupled over networks. We deploy tools from time-scale modeling (TSM) theory to develop rigorous reduced-order models to aid in the stability analysis of these multiple time-scale networked systems over fixed and undirected graph topology. We establish that the controller gain matrices can be determined by solving convex optimization problems in terms of finite linear matrix inequalities with prescribed $\mathbb{H}_\infty$ and $\mathbb{H}_2$ performance criteria. As demonstrated by simulation studies, the ensuing results provide designers with a network-centric approach to improve the performance and stability of such coupled systems.

Keywords

Discrete Network dynamic systems (DNDS), Mode separation, State dependent networks

Supporting Institution

KFUPM, Dhahran 31261, Saudi Arabia

Project Number

DUP 19106

Thanks

This work is supported by the Deanship of Scientific Research (DSR) at KFUPM through distinguished professorship project no. DUP19106.

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