SOS-Based Robust Control for Nonlinear Systems with Model Parameter Uncertainties

Abstract

This paper presents sum of squares (SOS) based robust fuzzy control for nonlinear polynomial fuzzy systems with polynomial model parameter uncertainties. We derive non-convex SOS design conditions with respect to a Lyapunov function and feedback gains. The so-called path-following method is employed to solve the non-convex SOS design conditions efficiently. We provide a design example that demonstrates the validity of the SOS based robust control results in comparison with the existing results based on stabilizing (non-robust) SOS control results.