Title :
Chaos in Fractional-Order Autonomous System and Its Control
Author_Institution :
Sch. of Electr. & Inf. Eng., Southwest Univ. for Nat. of China, Chengdu
Abstract :
In this paper, we numerically investigate the chaotic behaviours of a fractional-order system. We find that chaotic behaviours exist in the fractional-order system with an order being less than 3. The lowest order we find to have chaos is 2.4 in such system. In addition, we numerically simulate the continuances of the chaotic behaviours in the fractional-order system with orders ranging from 2.7 to 3. Finally, a simple, but effective, linear state feedback controller is proposed for controlling the fractional-order chaotic system based on an inverse optimal control approach. Numerical simulations show the effectiveness and feasibility of the proposed controller.
Keywords :
chaos; control system analysis; nonlinear control systems; numerical analysis; optimal control; state feedback; chaotic behaviours; fractional-order autonomous system; fractional-order chaotic system; inverse optimal control; linear state feedback controller; numerical simulations; Chaos; Control systems; Equations; Fractional calculus; History; Linear feedback control systems; Nonlinear systems; Numerical simulation; Optimal control; State feedback;
Conference_Titel :
Communications, Circuits and Systems Proceedings, 2006 International Conference on
Conference_Location :
Guilin
Print_ISBN :
0-7803-9584-0
Electronic_ISBN :
0-7803-9585-9
DOI :
10.1109/ICCCAS.2006.285200