Some H∞ model tracking problems for uncertain multiple time-delay T-S fuzzy models using linear matrix inequalities

In this paper, some H_∞ model tracking control problems are discussed for uncertain Takagi-Sugeno (T-S) fuzzy models with input as well as state delays. A fuzzy observer-based linear feedback controller is developed to reduce the tracking error as small as possible (ρ² attenuation level) for all bounded reference inputs. The controller design problem is parameterized in terms of a serial of linear matrix inequalities (LMIs) problem, which makes full use of LMI tools in MATLAB and simplifies the computation efficiently.