Robust adaptive synchronization of different uncertain chaotic systems subject to input nonlinearity

✍ Scribed by Hamed Kebriaei; M. Javad Yazdanpanah

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 968 KB
• Volume: 15
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2009.04.005

✦ Synopsis

In this paper, an adaptive controller is designed to ensure robust synchronization of two different chaotic systems with input nonlinearities. For this purpose, a stable sliding surface is defined and an adaptive sliding mode controller is designed to achieve robust synchronization of the systems when the control input is influenced through nonlinearities produced by actuator or external uncertainty recourses. The adaptation law guarantees the synchronization assuming of unknown model uncertainty. Furthermore by adding an integrator and incorporating a saturation function in the control law, the chattering phenomenon caused by the sign function is avoided. The simulation results for synchronization of Chua's circuit and Genesio systems show the efficiency of the proposed technique.