TY - JOUR
T1 - Observer-Based Synchronization of Complex Dynamical Networks under Actuator Saturation and Probabilistic Faults
AU - Selvaraj, Palanisamy
AU - Sakthivel, Rathinasamy
AU - Ahn, Choon Ki
N1 - 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.
PY - 2019/7
Y1 - 2019/7
N2 - 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.
AB - 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.
KW - Actuator saturation
KW - complex dynamical networks (CDNs)
KW - state observer
KW - stochastic reliable control
UR - http://www.scopus.com/inward/record.url?scp=85042873122&partnerID=8YFLogxK
U2 - 10.1109/TSMC.2018.2803261
DO - 10.1109/TSMC.2018.2803261
M3 - Article
AN - SCOPUS:85042873122
SN - 2168-2216
VL - 49
SP - 1516
EP - 1526
JO - IEEE Transactions on Systems, Man, and Cybernetics: Systems
JF - IEEE Transactions on Systems, Man, and Cybernetics: Systems
IS - 7
M1 - 8303827
ER -