State Estimation-Based Hybrid-Triggered Controller Design for Synchronization of Repeated Scalar Nonlinear Complex Dynamical Networks

• Published in: IEEE access Vol. 11; pp. 42069 - 42081
• Main Authors: Sakthivel, R., Devi, N. Birundha, Ma, Yong-Ki, Harshavarthini, S.
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Circuits; Complex dynamical networks; Control systems design; Controllers; Couplings; Delay effects; Delays; extended dissipativity; Linear matrix inequalities; non-fragile hybrid-triggered mechanism; Nonlinearity; Observers; repeated scalar nonlinearity; State estimation; Synchronism; Synchronization; System performance
• ISSN: 2169-3536; 2169-3536
• DOI: 10.1109/ACCESS.2023.3270280

The goal of this work is to examine the issue of state estimation-based synchronization of nonlinear complex dynamical networks that are prone to external disturbances, repeated scalar nonlinearities and time-varying coupling delays. In a nutshell, hybrid-triggered communication transmission nonfragile control design with respect to the estimated states and extended dissipative theory is designed, which comprises of both the time and event-triggered mechanisms, and a hybrid generator is presented between the sensor and controller. More preciously, a stochastic variable satisfying the Bernoulli random binary distribution is utilized to represent the phenomenon of random transmission between the time and event-triggered mechanism. Furthermore, delay-dependent adequate conditions for ensuring the synchronization of the addressed system are developed in the form of linear matrix inequalities. And, the requisite gain matrices and hybrid-triggered parameters are evaluated with the help of solving these procured conditions. Lastly, a numerical example with an application to memristor-based Chua's circuit model is demonstrated to ensure the effectiveness of established control technique.