Fault Estimations and Non-Fragile Control Design for Fractional-Order Multi-Weighted Complex Dynamical Networks

Rathinasamy Sakthivel,Dhafer J Almakhles,Ramalingam Sakthivel

doi:10.1109/access.2020.2975835

Rathinasamy Sakthivel, Dhafer J Almakhles + Show 1 more

Open Access

https://doi.org/10.1109/access.2020.2975835

Copy DOI

Journal: IEEE Access	Publication Date: Jan 1, 2020
Citations: 3	License type: CC BY 4.0

Affiliation: Prince Sultan University

Abstract

This paper deals with the robust fault estimation based synchronization problem for a class of fractional-order multi-weighted complex dynamic networks subject to external disturbances. Specifically, the synchronization problem is converted to an equivalent uniformly ultimately boundedness problem of the corresponding error system by use of spectral decomposition of the Laplacian and proper scalings of the faults. First, by introducing an intermediate estimator technique and using monochromatic Lyapunov function method, the sufficient condition for uniformly ultimately boundedness of the resulting error system via fault estimation based non-fragile controller is presented. Next, by using the linear matrix inequality (LMI) technique and optimization approach, the existence condition in the form of LMIs for designing the fault estimation based robust non-fragile controller is derived. Finally, two numerical examples including financial model are provided to demonstrate the validity and feasibility of the developed theoretical results.

Highlights

Complex dynamical networks (CDNs) have been applied in various areas such as transportation networks, power grids, unmanned aerial vehicles, image processing and so on [1]–[8]
Motivated by the aforementioned works, in this paper we focus on the design of a fault estimation based non-fragile control for synchronization of fractional-order multi-weighted CDNs (MWCDNs) subject to external disturbances and the lack of full-state measurements
In this work, the non-fragile control problem has been analyzed for a class of fractional-order MWCDNs via intermediate estimator approach

Summary

Introduction

Complex dynamical networks (CDNs) have been applied in various areas such as transportation networks, power grids, unmanned aerial vehicles, image processing and so on [1]–[8]. Most of the existing results are formulated as CDNs with single weight, but for actual application, real-time networks might be represented by CDNs with multi-weights, such as the transportation networks, electricity distribution networks, aviation networks and social networks. Few tremendous results for the synchronization criterion of CDNs with multiple weights have been explored, for instance, [9]–[11]. In [10], the authors derived a criterion for the passivity analysis of multi-weighted CDNs (MWCDNs) on the basis of edges-based pinning adaptive control strategy and Lyapunov stability theory. The fractional-order dynamical systems have been widely utilized in various fields of science and engineering due to its lower order, less parameters and higher accuracy [12]–[16].

Objectives

Results

Conclusion