Fuzzy-Model-Based Output Feedback Controller Design for Discrete-Time Non-Affine Nonlinear Systems via Piecewise Lyapunov Functions

A robust H∞ output-feedback (DOF) control method is proposed for discrete-time non-affine nonlinear systems based on Takagi-Sugeno (T-S) fuzzy models. On the basis of several convexification techniques and piecewise quadratic Lyapunov functions (PQLFs), sufficient conditions for the controller design are derived. A simulation example is presented to show the feasibility of the proposed method.