Output-Feedback Controller Based Projective Lag-Synchronization of Uncertain Chaotic Systems in the Presence of Input Nonlinearities. (19th March 2017)

• Record Type: Journal Article
• Authors: Boulkroune, Abdesselem; Hamel, Sarah; Zouari, Farouk; Boukabou, Abdelkrim; Ibeas, Asier
• Other Names: Kapitaniak Tomasz Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2017(2017)
• Publication Date: 2017-03-19
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2017/8045803
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper solves the problem of projective lag-synchronization based on output-feedback control for chaotic drive-response systems with input dead-zone and sector nonlinearities. This class of the drive-response systems is assumed in Brunovsky form but with unavailable states and unknown dynamics. To effectively deal with both dead-zone and sector nonlinearities, the proposed controller is designed in a variable-structure framework. To online learn the uncertain dynamics, adaptive fuzzy systems are used. And to estimate the unavailable states, a simple synchronization error is constructed. To prove the stability of the overall closed-loop system (controller, observer, and drive-response system) and to design the adaptation laws, a Lyapunov theory and strictly positive real (SPR) approach are exploited. Finally, three academic examples are given to show the effectiveness of this proposed lag-synchronization scheme.