Chaos suppression of uncertain gyros in a given finite time
Mohammad Pourmahmood Aghababaa, Hasan Pourmahmood Aghababab c
a Electrical Engineering Department, Urmia University of Technology, Urmia, Iran; b Department of Mathematics, University of Tabriz, Tabriz, Iran; c Research Center for Industrial Mathematics of University of Tabriz, Tabriz, Iran
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.
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