Quasi sliding mode control for chaotic symmetric gyros with linear-plus-cubic damping and input nonlinearity

In this paper, a new concept of quasi sliding mode control (QSMC) is introduced for the tracking control of chaotic symmetric gyros with linear-plus-cubic damping. In contrast to previous works on sliding mode control, based on the proposed QSMC, the chattering phenomenon can be eliminated. Furthermore, the controlled gyro system can track desired trajectories and tracking errors can be driven into a predictable neighborhood of zero, even when the input nonlinearity is present. Numerical simulations are provided to demonstrate the effectiveness of the proposed QSMC design method.