Abstract
This paper describes a novel 3D four-leaf chaotic system and details its qualitative properties. The novel chaotic system is a polynomial system with three quadratic nonlinearities. The phase portraits of the novel four-leaf chaotic system are illustrated. We show that the novel chaotic system has three unstable equilibrium points. The Lyapunov exponents of the novel chaotic system are calculated as L1 = 1.0299, L2 = 0 and L3 = −7.0268. The Lyapunov dimension of the novel chaotic system is found as DL = 2.1466. Next, we apply integral sliding mode control method to find a feedback control law that globally stabilises the novel four-leaf chaotic system. Furthermore, we apply integral sliding mode control method to find a feedback control law that globally synchronises two identical four-leaf chaotic systems. The global control and synchronisation results are proved using Lyapunov stability theory. MATLAB simulations are shown to illustrate all the sliding mode control results derived in this work.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Modelling, Identification and Control
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
