Sliding mode synchronization of a delayed complex dynamical network in the presence of uncertainties and external disturbances. (June 2019)

• Record Type: Journal Article
• Authors: Kazemy, Ali; Gyurkovics, Éva
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 41:Number 9(2019)
• Page Start: 2623
• Page End: 2636
• Publication Date: 2019-06
• Subjects: Synchronization -- complex dynamical network -- sliding mode control -- ℋ∞ control -- Lyapunov–Krasovskii theory; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331218805533
• Languages: English
• ISSNs: 0142-3312

Abstract

This paper is concerned with the problem of robust sliding modeH ∞ control of a delayed complex dynamical network subject to parametric uncertainties and external disturbances. In this regard, synchronization error dynamics between the nodes of the complex dynamical network and an individual node are derived. Based on Lyapunov–Krasovskii stability theory, sliding modeH ∞ control laws are designed to force the state trajectories of the error dynamics to sliding manifolds and are maintained thereafter. Moreover, anH ∞ control law is designed to compare its results with the proposed method. By simulating a numerical Chua's circuit, it is shown that the proposed method is effective at attenuating the effect of the external disturbances and parametric uncertainties.