Novel fuzzy adaptive finite‐time nonsmooth control for uncertain nonlinear systems

Abstract

SummaryIn this article, a novel fuzzy adaptive finite‐time nonsmooth controller is developed to handle the finite‐time tracking problem for a class of uncertain nonlinear systems. Different from traditional fuzzy adaptive approximation methods, proposed method contains only one adaptive parameter, no matter how many states there are in the system. By constructing a new Lyapunov function with prescribed performance bound, the transient and steady performances of control system can be ensured. Further, based on a criterion of finite‐time semiglobal practical stability and backstepping technology, a novel fuzzy adaptive finite‐time nonsmooth control method is designed. It can be demonstrated that proposed control can effectively ensure tracking error tends to small neighborhood in a finite time. Finally, two examples have been simulated by the proposed control method, and it shows effective tracking performance.