Robust sliding mode control for fractional-order chaotic economical system with parameter uncertainty and external disturbance

doi:10.1088/1674-1056/24/3/030504

›› 2015, Vol. 24 ›› Issue (3): 30504-030504.doi: 10.1088/1674-1056/24/3/030504

Robust sliding mode control for fractional-order chaotic economical system with parameter uncertainty and external disturbance

周柯^a, 王智慧^b, 高立克^a, 孙跃^b, 马铁东^b

a Electric Power Research Institute, Guangxi Power Grid Corporation, Nanning 530023, China;
b College of Automation, Chongqing University, Chongqing 400044, China

收稿日期:2014-04-24 修回日期:2014-06-23 出版日期:2015-03-05 发布日期:2015-03-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 51207173 and 51277192).

Robust sliding mode control for fractional-order chaotic economical system with parameter uncertainty and external disturbance

Zhou Ke (周柯)^a, Wang Zhi-Hui (王智慧)^b, Gao Li-Ke (高立克)^a, Sun Yue (孙跃)^b, Ma Tie-Dong (马铁东)^b

a Electric Power Research Institute, Guangxi Power Grid Corporation, Nanning 530023, China;
b College of Automation, Chongqing University, Chongqing 400044, China

Received:2014-04-24 Revised:2014-06-23 Online:2015-03-05 Published:2015-03-05
Contact: Wang Zhi-Hui E-mail:cquwzh@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 51207173 and 51277192).

摘要/Abstract

摘要： This paper presents a modified sliding mode control for fractional-order chaotic economical systems with parameter uncertainty and external disturbance. By constructing the suitable sliding mode surface with fractional-order integral, the effective sliding mode controller is designed to realize the asymptotical stability of fractional-order chaotic economical systems. Comparing with the existing results, the main results in this paper are more practical and rigorous. Simulation results show the effectiveness and feasibility of the proposed sliding mode control method.

关键词: fractional-order chaotic systems, economical system, sliding mode control, parameter uncertainty

Abstract: This paper presents a modified sliding mode control for fractional-order chaotic economical systems with parameter uncertainty and external disturbance. By constructing the suitable sliding mode surface with fractional-order integral, the effective sliding mode controller is designed to realize the asymptotical stability of fractional-order chaotic economical systems. Comparing with the existing results, the main results in this paper are more practical and rigorous. Simulation results show the effectiveness and feasibility of the proposed sliding mode control method.

Key words: fractional-order chaotic systems, economical system, sliding mode control, parameter uncertainty

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Jn (High-dimensional chaos) 05.45.Pq (Numerical simulations of chaotic systems)

周柯, 王智慧, 高立克, 孙跃, 马铁东. Robust sliding mode control for fractional-order chaotic economical system with parameter uncertainty and external disturbance[J]. , 2015, 24(3): 30504-030504.

Zhou Ke (周柯), Wang Zhi-Hui (王智慧), Gao Li-Ke (高立克), Sun Yue (孙跃), Ma Tie-Dong (马铁东). Robust sliding mode control for fractional-order chaotic economical system with parameter uncertainty and external disturbance[J]. Chin. Phys. B, 2015, 24(3): 30504-030504.

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Robust sliding mode control for fractional-order chaotic economical system with parameter uncertainty and external disturbance

Robust sliding mode control for fractional-order chaotic economical system with parameter uncertainty and external disturbance

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