A New Approach to Non-Fragile H∞ Fuzzy Controller for Uncertain Fuzzy Dynamical Systems with Multiple Time-Scales

摘要

This study examines the problem of designing a new approach to non-fragile H∞ controllers for a class of nonlinear uncertain dynamical systems with multiple time-scales described by a Takagi-Sugeno (TS) fuzzy model. Based on a Linear Matrix Inequality (LMI) approach, we develop a non-fragile H∞ controller which guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value for this class of uncertain fuzzy dynamical systems with multiple time-scales. A numerical example is provided to illustrate the design developed in this study.