Finite-time disturbance attenuation of nonlinear systems

Abstract

This paper is devoted to the finite-time disturbance attenuation problem of affine nonlinear systems. Based on the finite time Lyapunov stability theory, some finite-time H ∞ performance criterions are derived. Then the state-feedback control law is designed and the structure of such a controller is investigated. Furthermore, it is shown that the H ∞ controller can also make the closed-loop system satisfy finite-time H ∞ performance for nonlinear homogeneous systems. An example is provided to demonstrate the effectiveness of the presented results.