Fast Finite-Time Partial State Feedback Stabilization of High-Order Nonlinear Systems with Dynamic Uncertainties

This paper investigates the problem of finite-time stabilization for a class of high-order nonlinear systems with zero dynamic. The systems under investigation allow inherent nonlinearities to include high-order and low-order nonlinear growth rates, except for unmeasurable dynamic uncertainties. On basis of the constructions of integral Lyapunov functions with sign functions and input-to-state stability property, a partial state feedback stabilizer is proposed to guarantee that the convergence of system state is faster than traditional finite-time stabilizers. In particular, the convergent time can be adjusted through preassigning design parameters. The novelty lies in a distinct perspective to applying fast finite-time stability in partial state feedback control design which was previously regarded as a rather difficult problem.