Arbitrary higher order sliding mode control based on control Lyapunov approach

摘要

This paper proposes an arbitrary higher order sliding mode controller for uncertain minimum phase nonlinear systems. The stability proof of the suggested scheme is analyzed in terms of two Lyapunov functions. Using these two Lyapunov functions it is proved that, output and its higher order derivatives converge to origin in finite time. Simulation results prove the efficiency of the proposed method.