Fuzzy Iterative Learning Control for Batch Processes with Interval Time-Varying Delays

Abstract

In this paper, a T-S model-based fuzzy delay-range-dependent iterative learning control (ILC) scheme is developed for highly nonlinear batch processes with interval time-varying delays. The two-dimensional (2D) T-S time-delay model is constructed to remedy the disadvantage that the overall linear model cannot sufficiently describe the nonlinear batch process. Then, exploiting the repetitive nature of batch processes, a 2D fuzzy delay-range-dependent iterative learning control is designed. The delay-range-dependent stabilization problem and H∞ control are studied by using 2D Lyapunov function under a 2D system framework. At the same time, the controller gain design is given and its gain can be obtained in terms of LMIs. A water tank is taken as a simulation case to demonstrate the effectiveness of the proposed fuzzy iterative learning control scheme.