Fault tolerant synchronisation of integer and fractional order 6D hyper-chaotic systems via two control signals. Issue 2 (4th March 2022)

• Record Type: Journal Article
• Authors: Sabaghian, Alireza; Balochian, Saeed
• Is Part Of: International journal of parallel, emergent and distributed systems. Volume 37:Issue 2(2022)
• Page Start: 152
• Page End: 166
• Publication Date: 2022-03-04
• Subjects: 6D hyper-chaotic system -- fractional order system -- adaptive-sliding mode control -- external disturbance -- uncertainty; Parallel computers -- Periodicals; Electronic data processing -- Distributed processing -- Periodicals; Computer algorithms -- Periodicals; 004.35
• DOI: 10.1080/17445760.2021.1991923
• Languages: English
• ISSNs: 1744-5760

Abstract

Abstract : In this study, two 6D hyper-chaotic systems with integer and fractional orders in the presence of external disturbance and bounded parametric uncertainty with unknown bounds with two control signals are synchronised using an adaptive-sliding mode controller. In the definition of fractional order differentiation, Riemann-Louiville definition is used. To this end, the sliding surface and proper active feedback control law area determined and proper estimation laws are proposed for estimating unknown uncertainty bounds and the disturbance. The stability of the closed-loop control system is proved using the Lyapunov theorem. Simulation results in MATLAB demonstrate the desired efficiency of this method in the presence of disturbance and parametric uncertainty.