Fuzzy tracking control for a class of nonlinear systems

Based on fuzzy T-S model and H_∞ model reference tracking performance, a class of fuzzy systems in the existence of parameter perturbations and external disturbances is studied. First, the Takagi and Surgeon (T-S) fuzzy model is employed to represent a nonlinear system. Next, based on the fuzzy model, a fuzzy observer-based fuzzy controller is developed to reduce the tracking error as small as possible for all bounded reference inputs. The final, control gains and observer gains will be found by solving linear matrix inequation (LMI), so, the H_∞ tracking performance can be achieved for a prescribed attenuation level.