Approximate finite-time control for a class of uncertain nonlinear systems with dynamic compensation

In this work, a new robust nonlinear feedback control method with dynamic active compensation is proposed; the active control method has been applied to an integral series of finite-time single-input single-output nonlinear system with uncertainty. In further tracking the closed-loop stability and nonlinear uncertainty, an extended state observer has been employed to solve the immeasurability and nonlinear uncertainty within a nonlinear system. A singular perturbation theory has been used to solve for the finite-time stability of the closed-loop system; furthermore, numerical simulations showed that the robust nonlinear feedback controller tracked the uncertainty in a nonlinear Duffing-type oscillator and has proven the effectiveness of the approximate finite-time control strategy proposed. By using an approximate finite-time control approach with active compensation, the uncertainty in a nonlinear system could be accurately estimated and controlled. Copyright (c) 2017 John Wiley & Sons, Ltd.