Observer-Based Synchronization of Complex Dynamical Networks under Actuator Saturation and Probabilistic Faults

Palanisamy Selvaraj; Rathinasamy Sakthivel; Choon Ki Ahn

doi:10.1109/TSMC.2018.2803261

Observer-Based Synchronization of Complex Dynamical Networks under Actuator Saturation and Probabilistic Faults

Palanisamy Selvaraj, Rathinasamy Sakthivel, Choon Ki Ahn

Research output: Contribution to journal › Article › peer-review

64 Citations (Scopus)

Abstract

This paper investigates the observer-based synchronization problem for a family of complex dynamical networks subject to time delay, external disturbance, randomly occurring actuator faults, and input saturation. A realistic actuator fault model is considered in which the actuator faults are represented by stochastic variables that are assumed to obey a certain probabilistic distribution. An H-{\infty} performance-related criterion is obtained via the Lyapunov-Krasovskii functional approach and stochastic analysis technique to asymptotically minimize the synchronization error and observer error simultaneously. Moreover, to meet the requirement of actuator saturation, the conditions for the domain of the attraction region are determined by employing the linear matrix inequality (LMI) approach and an optimization technique. Specifically, the proposed controller for the network synchronization is very simple and easy to implement in practical systems. Furthermore, the gain values of controller and observer gains are calculated by solving a set of LMIs. Eventually, the proposed theoretical results are verified through numerical simulations.

Original language	English
Article number	8303827
Pages (from-to)	1516-1526
Number of pages	11
Journal	IEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume	49
Issue number	7
DOIs	https://doi.org/10.1109/TSMC.2018.2803261
Publication status	Published - 2019 Jul

Bibliographical note

Funding Information:
Manuscript received December 13, 2017; accepted January 27, 2018. Date of publication February 27, 2018; date of current version June 14, 2019. This work was supported by the National Research Foundation of Korea through the Ministry of Science, ICT, and Future Planning under Grant NRF-2017R1A1A1A05001325. This paper was recommended by Associate Editor S. Tong. (Corresponding authors: Rathinasamy Sakthivel; Choon Ki Ahn.) P. Selvaraj is with the Department of Mathematics, Anna University Regional Campus, Coimbatore 641046, India.

Publisher Copyright:
© 2013 IEEE.

Keywords

Actuator saturation
complex dynamical networks (CDNs)
state observer
stochastic reliable control

ASJC Scopus subject areas

Software
Control and Systems Engineering
Human-Computer Interaction
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TSMC.2018.2803261

Cite this

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abstract = "This paper investigates the observer-based synchronization problem for a family of complex dynamical networks subject to time delay, external disturbance, randomly occurring actuator faults, and input saturation. A realistic actuator fault model is considered in which the actuator faults are represented by stochastic variables that are assumed to obey a certain probabilistic distribution. An H-{\infty} performance-related criterion is obtained via the Lyapunov-Krasovskii functional approach and stochastic analysis technique to asymptotically minimize the synchronization error and observer error simultaneously. Moreover, to meet the requirement of actuator saturation, the conditions for the domain of the attraction region are determined by employing the linear matrix inequality (LMI) approach and an optimization technique. Specifically, the proposed controller for the network synchronization is very simple and easy to implement in practical systems. Furthermore, the gain values of controller and observer gains are calculated by solving a set of LMIs. Eventually, the proposed theoretical results are verified through numerical simulations.",

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Observer-Based Synchronization of Complex Dynamical Networks under Actuator Saturation and Probabilistic Faults

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