Fuzzy Observer-Based Output Feedback Control of Continuous-Time Nonlinear Two-Dimensional Systems

The fuzzy observer-based output feedback control of continuous-time nonlinear two-dimensional (2-D) systems is studied by Takagi–Sugeno (T–S) fuzzy models in this work. The plant information of the 2-D systems evolves along two independent directions dynamically. The nonlinear 2-D systems are firstly expressed by T–S fuzzy models with parameter uncertainties. By a Lyapunov method together with some convexification techniques, two methods are developed for fuzzy observer-based output feedback controller synthesis of the underlying fuzzy 2-D systems, and novel output feedback controller synthesis results are proposed within a convex optimization setup. Simulation studies are provided to illustrate the validity of the proposed methods.