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

Palanisamy Selvaraj, Rathinasamy Sakthivel, Choon Ki Ahn

Research output: Contribution to journalArticlepeer-review

57 Citations (Scopus)


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 languageEnglish
Article number8303827
Pages (from-to)1516-1526
Number of pages11
JournalIEEE Transactions on Systems, Man, and Cybernetics: Systems
Issue number7
Publication statusPublished - 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.


  • 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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