It considered the actuator fault tolerant control and accommodation problem for a class of inherent nonlinear system with unknown time-varying virtual control coefficients, uncertain time-varying nonlinear parameters and uncontrollable unstable linearization, by employing the homogeneous system theory and the adding a power integrator design.The actuator fault was accommodated by an adaptive controller based backstepping approach, so as to ensure identical (stabilizable) behaviour of the healthy of the faulty system. Simulation results of a numerical example demonstrate good performance of the proposed approach .