Robust dissipative control for T-S fuzzy systems

Robust stability analysis and dissipativeness for Takagi-Sugeno (T-S) fuzzy systems with parametric uncertainties are studied via Lyapunov stability theory. The T-S fuzzy model with parametric uncertainties can approximate nonlinear uncertain systems at any precision. The parametric uncertainty is assumed to be norm bounded. With the help of linear matrix inequality (LMI), robust passive controllers are obtained. The proposed controller can guarantee that for all admissible uncertainties, the resultant closed-loop system is stable and satisfies the proposed dissipative performance. A numerical example demonstrates the effect of the proposed design method.