Chaos suppression of uncertain gyros in a given finite time

doi:10.1088/1674-1056/21/11/110505

Abstract 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 given 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.

Keywords: chaos suppression chaotic gyro finite-time stability robustness

Received: 24 April 2012
Revised: 14 June 2012
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)

Corresponding Authors: Mohammad Pourmahmood Aghababa
E-mail: m.p.aghababa@ee.uut.ac.ir

Cite this article:

Mohammad Pourmahmood Aghababa, Hasan Pourmahmood Aghababa Chaos suppression of uncertain gyros in a given finite time 2012 Chin. Phys. B 21 110505

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Chaos suppression of uncertain gyros in a given finite time

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