Title :
Sliding Mode Control of Fractional-order Hyperchaotic Systems
Author :
Bai, Jing ; Yu, Yongguang
Author_Institution :
Dept. of Math., Beijing Jiaotong Univ., Beijing, China
Abstract :
In this paper, active sliding mode controllers are designed to realize the control and synchronization of fractional-order hyper chaotic systems. Based on stability theorems of fractional calculus, the stability analysis of the proposed method is performed. Finally, three numerical simulations are presented to show the effectiveness of the obtained results. The simulations are all implemented using predictor-corrector method to solve the fractional differential equations.
Keywords :
chaos; control system synthesis; differential equations; nonlinear control systems; predictor-corrector methods; stability; synchronisation; variable structure systems; active sliding mode control; controller design; fractional calculus; fractional differential equation; fractional-order hyperchaotic system; numerical simulation; predictor-corrector method; stability analysis; stability theorem; synchronization; Chaos; Differential equations; Fractals; Numerical simulation; Sliding mode control; Synchronization; Control and synchronization; Fractional-order hyperchaos; Prector-corrector method; Sliding mode control;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on
Conference_Location :
Kunming, Yunnan
Print_ISBN :
978-1-4244-8815-5
DOI :
10.1109/IWCFTA.2010.86
