Observer-Based Adaptive Fuzzy Finite-Time Control Design with Prescribed Performance for Switched Pure-Feedback Nonlinear Systems

Abstract

In this paper, an adaptive fuzzy finite-time control problem for pure-feedback switched nonlinear systems with prescribed performance is investigate. By utilizing the prescribed performance technique, we mean that the system output is converge to the predefined bounds. By using the dynamic surface control (DSC) and the backstepping technique, we establish a novel adaptive fuzzy finite-time pure-feedback switching control method. In such a scheme, the Butterworth low-pass filter (LPF) is used to construct the fuzzy observer, which can estimate the immeasurable states and avoid algebraic loop problem. In accordance with the stability theory of common Lyapunov function (CLF), the designed controller can ensures that the tracking error converges to a small neighborhood of the origin in finite time. Finally, an example is given to illustrate this method and verify its validity and effectiveness.