Robust Controller Design for Polynomial Fuzzy Systems : A Sum of Squares Approach

Abstract

This paper presents a sum of squares (SOS) approach to robust control of polynomial fuzzy systems with a kind of parameter uncertainty. To begin with, we define a new type of polynomial fuzzy models with parameter uncertainties and derive a robust control design condition in terms of SOS. The SOS based design condition is applied to a helicopter model with uncertainty parameters. The control results, that demonstrate the validity of the SOS based robust control in comparison with the SOS based stabilizing (non-robust) control presented in our previous paper, will be discussed in the presentation of FSS2012.