中国物理B ›› 2012, Vol. 21 ›› Issue (11): 110505-110505.doi: 10.1088/1674-1056/21/11/110505
Mohammad Pourmahmood Aghababaa, Hasan Pourmahmood Aghababab c
Mohammad Pourmahmood Aghababaa, Hasan Pourmahmood Aghababab c
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 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.
中图分类号: (Nonlinear dynamics and chaos)