A novel dynamic state feedback controller for discrete-time T-S fuzzy affine systems

This paper proposes a robust H
_∞
dynamic state feedback (DSF) controller for discrete-time nonlinear systems through Takagi-Sugeno (T-S) fuzzy-affine models. On the basis of piecewise fuzzy quadratic Lyapunov functions (PFQLFs) and some convexification techniques, sufficient conditions for the DSF controller synthesis are obtained in terms of a set of linear matrix inequalities (LMIs). Two simulation examples are given to verify the feasibility of the developed method.