Fixed-time synchronization of nonlinear non-affine system

This paper concerns with the fixed-time control problem of nonlinear non-affine system. First, based on a Taylor series expansion, the nonlinear non-affine system is transformed into an affine system. Second, by using norm-normalized sign functions and providing sufficient Lyapunov conditions, it is shown that the nonlinear non-affine system can be achieved synchronization in a fixed time, regardless of its initial value. In addition, the settling time is calculated by using an enhanced estimation method. Third, compared with the classical calculate method, a switching sliding-mode control technique is adopted to deal with the possible singularity problem.