中国物理B ›› 2011, Vol. 20 ›› Issue (9): 90505-090505.doi: 10.1088/1674-1056/20/9/090505

• GENERAL • 上一篇    下一篇

A novel adaptive finite-time controller for synchronizing chaotic gyros with nonlinear inputs

Mohammad Pourmahmood Aghababa   

  1. Young Researchers Club, Ahar Branch, Islamic Azad University, Ahar 54516, Iran
  • 收稿日期:2011-03-30 修回日期:2011-04-28 出版日期:2011-09-15 发布日期:2011-09-15

A novel adaptive finite-time controller for synchronizing chaotic gyros with nonlinear inputs

Mohammad Pourmahmood Aghababa†   

  1. Young Researchers Club, Ahar Branch, Islamic Azad University, Ahar 54516, Iran
  • Received:2011-03-30 Revised:2011-04-28 Online:2011-09-15 Published:2011-09-15

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摘要： In this paper, the problem of the finite-time synchronization of two uncertain chaotic gyros is discussed. The parameters of both the master and the slave gyros are assumed to be unknown in advance. The effects of model uncertainties and input nonlinearities are also taken into account. An appropriate adaptation law is proposed to tackle the gyros' unknown parameters. Based on the adaptation law and the finite-time control technique, proper control laws are introduced to ensure that the trajectories of the slave gyro converge to the trajectories of the master gyro in a given finite time. Simulation results show the applicability and the efficiency of the proposed finite-time controller.

Abstract: In this paper, the problem of the finite-time synchronization of two uncertain chaotic gyros is discussed. The parameters of both the master and the slave gyros are assumed to be unknown in advance. The effects of model uncertainties and input nonlinearities are also taken into account. An appropriate adaptation law is proposed to tackle the gyros' unknown parameters. Based on the adaptation law and the finite-time control technique, proper control laws are introduced to ensure that the trajectories of the slave gyro converge to the trajectories of the master gyro in a given finite time. Simulation results show the applicability and the efficiency of the proposed finite-time controller.

Key words: chaotic gyro, finite-time synchronization, model uncertainty, nonlinear input

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Xt (Synchronization; coupled oscillators) 05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems)