Chaos suppression of uncertain gyros in a given finite time  

作　　者：Mohammad Pourmahmood Aghababa Hasan Pourmahmood Aghababa 

机构地区：[1]Electrical Engineering Department,Urmia University of Technology [2]Department of Mathematics,University of Tabriz [3]Research Center for Industrial Mathematics of University of Tabriz

出　　处：《Chinese Physics B》2012年第11期126-131,共6页中国物理B（英文版）

摘　　要：The gyro is one of the most interesting and everlasting nonlinear dynamical systems, which displays very rich and complex dynamics, such as sub-harmonic and chaotic behaviors. We study the chaos suppression of the chaotic gyros in a given finite time. Considering the effects of model uncertainties, external disturbances, and fully unknown parameters, we design a robust adaptive finite-time controller to suppress the chaotic vibration of the uncertain gyro as quickly as possible. Using the finite-time control technique, we give the exact value of the chaos suppression time. A mathematical theorem is presented to prove the finite-time stability of the proposed scheme. The numerical simulation shows the efficiency and usefulness of the proposed finite-time chaos suppression strategy.The gyro is one of the most interesting and everlasting nonlinear dynamical systems, which displays very rich and complex dynamics, such as sub-harmonic and chaotic behaviors. We study the chaos suppression of the chaotic gyros in a given finite time. Considering the effects of model uncertainties, external disturbances, and fully unknown parameters, we design a robust adaptive finite-time controller to suppress the chaotic vibration of the uncertain gyro as quickly as possible. Using the finite-time control technique, we give the exact value of the chaos suppression time. A mathematical theorem is presented to prove the finite-time stability of the proposed scheme. The numerical simulation shows the efficiency and usefulness of the proposed finite-time chaos suppression strategy.

关 键 词：chaos suppression chaotic gyro finite-time stability ROBUSTNESS 

分 类 号：TN966[电子电信—信号与信息处理]