The fuzzy discrete-time robust regulation problem: a LMI approach

This work is concerned with the design of a robust regulator, capable of achieving trajectory tracking for discrete-time nonlinear systems under parameter uncertainty. It is assumed that the behavior of the nonlinear system is described, at least locally, by a Takagi-Sugeno dynamic fuzzy model, an approach based in the combination of this fuzzy modelling and the regulator theory is presented. Condition for the existence of a robust regulator under this approach are then derived and extended to include the use of the LMI technique.