Chattering-Avoidance Discrete-Time Fuzzy Control With Finite-Time Preselected Qualities

Abstract

This article is devoted to the exploration of a novel design process for synthesizing fuzzy prescribed performance control (PPC), with a specific emphasis on achieving preselected behaviors in discrete-time. To overcome the limitations of existing studies that solely rely on a fixed and inflexible sliding mode control framework, we put forward an innovative indirect stabilization method that offers a practical and readily implementable design process in discrete-time. Different from current approaches, our method ensures enhanced prescribed performance by guaranteeing finite-time convergence and avoiding high frequency chattering. To achieve this, we directly develop discrete-time PPC protocols using a low-computational fuzzy approximation strategy based on completely unknown system dynamics, thus eliminating the need for complex model equivalent reconstruction as demanded by previous studies. Finally, we verify the effectiveness and superiority of our proposed design.