Output Feedback Control With Inexact Premise Variables of T-S Fuzzy Systems

This work addresses the problem of designing dynamic output feedback controllers for Takagi-Sugeno (T-S) fuzzy systems subjected to inexact measurements of premise variables. Instead of assuming that the premise variables are precisely available for the controller, this work provides linear matrix inequalities (LMIs) conditions to design controller gains depending on premise variables with additive uncertainties. This uncertainty model includes inexact measurements of the premise variables due to sensor devices or an approximate representation in the T-S modeling, which can assume the form of absolute uncertainties in the membership functions. Numerical examples illustrate the robustness of the approach.