Abstract:
Based on the good properties of exponential fast terminal sliding mode,a novel sliding mode variable structure control for high-order uncertain nonlinear systems is proposed.The system state variables can reach a neighborhood of the sliding mode surfaces with a fast convergence rate in finite time,and finally converge to a small neighborhood of the equilibrium point.Asymptotical stability of the system is proved with Lyapunov stability theory,and the mathematical relationship between the neighborhood of each sliding mode surface and the system uncertainity is derived.Strong robustness of the system is validated with Matlab simulation.