Author： Tian Xiaomin Fei Shumin
Publisher： MDPI
E-ISSN： 1099-4300|16|2|729-746
ISSN： 1099-4300
Source： Entropy, Vol.16, Iss.2, 2014-02, pp. : 729-746
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
In this paper, the problem of stabilizing a class of fractional-order chaotic systems with sector and dead-zone nonlinear inputs is investigated. The effects of model uncertainties and external disturbances are fully taken into account. Moreover, the bounds of both model uncertainties and external disturbances are assumed to be unknown in advance. To deal with the system’s nonlinear items and unknown bounded uncertainties, an adaptive fractional-order sliding mode (AFSM) controller is designed. Then, Lyapunov’s stability theory is used to prove the stability of the designed control scheme. Finally, two simulation examples are given to verify the effectiveness and robustness of the proposed control approach.
Related content
Sliding-Mode Synchronization Control for Uncertain Fractional-Order Chaotic Systems with Time Delay
Entropy, Vol. 17, Iss. 6, 2015-06 ,pp. :
Access to resources
Recommend
Adaptive Synchronization for a Class of Uncertain Fractional-Order Neural Networks
By Liu Heng Li Shenggang Wang Hongxing Huo Yuhong Luo Junhai
Entropy, Vol. 17, Iss. 10, 2015-10 ,pp. :
Access to resources