Title :
The Synchronization of Fractional Order Chaotic Systems with Different Dimensions through Sliding Mode Control
Author :
Bai, Jing ; Yu, Yongguang
Author_Institution :
Dept. of Math., Beijing Jiaotong Univ., Beijing, China
Abstract :
The synchronization of fractional order chaotic systems with different dimensions is investigated by means of sliding mode control in this paper. Active sliding mode controller is designed to realize the synchronization of fractional order chaotic systems with different dimensions. Based on stability theorems of fractional calculus, the stability of the proposed method is performed. Finally, based on the predictor-corrector method, two numerical simulations are presented to show the effectiveness of the obtained results.
Keywords :
nonlinear control systems; predictor-corrector methods; stability; synchronisation; variable structure systems; different dimension; fractional calculus; fractional order chaotic system; numerical simulation; predictor-corrector method; sliding mode control; stability theorem; Chaos; Differential equations; Mathematical model; Sliding mode control; Stability analysis; Synchronization; Chaos; Different dimensions; Fractional order systems; Sliding mode control;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2011 Fourth International Workshop on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4577-1798-7
DOI :
10.1109/IWCFTA.2011.37
