Robust fuzzy-model-based sliding mode controller for uncertain nonlinear input-delay systems

This paper presents a robust sliding mode controller design algorithm for uncertain nonlinear input-delay systems using fuzzy model. For many practical systems, the existence of time delays and uncertainties is common in control practice. Therefore the problem of controlling such systems becomes more complex and sometimes degrades the control performance. Using the Takagi-Sugeno fuzzy model, it is to combine some simple local linear input-delay systems with their linguistic description to represent the original nonlinear input-delay system. Based on the Lyapunov theory and the concept of functional analysis, the conditions of the robust stability of the overall closed-loop system with uncertainties and an input time delay will be derived.