Title :
Modified projective synchronization of fractional-order chaotic systems based on active sliding mode control
Author :
Xiaomei Yan ; Qi Du ; Ting Shang
Author_Institution :
Fac. of Autom. & Inf. Eng., Xi´an Univ. of Technol., Xian, China
Abstract :
For modified projective synchronization of fractional-order chaotic systems, this paper presents an active sliding mode control method. Based on the stability theorem of fractional-order system, stability of the error system is analyzed. Two examples of modified projective synchronization are performed respectively, which include two identical fractional-order systems (Lü-Lü) and two different fractional-order systems (Lü-Liu). Numerical simulations illustrate the effectiveness of the proposed method.
Keywords :
chaos; nonlinear control systems; numerical analysis; stability; synchronisation; variable structure systems; Lü-Liu systems; Lü-Lü systems; active sliding mode control method; error system stability; fractional-order chaotic systems; fractional-order system; modified projective synchronization; numerical simulation; stability theorem; Chaotic communication; Eigenvalues and eigenfunctions; Numerical stability; Sliding mode control; Stability analysis; Synchronization; chaotic system; fractional-order; modified projective synchronization; sliding mode control;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6561621
