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

Abstract

Summary 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 © 2017 John Wiley & Sons, Ltd.

Fixed‐time stabilization of uncertain strict‐feedback nonlinear systems via a bi‐limit–like strategy

“…In the work of Huang et al, by proposing restrictive conditions on nonlinear functions, the authors developed a recursive design algorithm to answer the above question. Subsequently, based on the above recursive design algorithm, many finite‐time control schemes were proposed to realize finite‐time stabilization or finite‐time tracking control . Subsequently, by using recursive design algorithm, many achievements have been obtained.…”

“…to realize finite-time stabilization [21][22][23] or finite-time tracking control. 24 Subsequently, by using recursive design algorithm, many achievements have been obtained.…”