Observer-Based Output Feedback Control of Nonlinear 2-D Systems via Fuzzy-Affine Models

Abstract

Through Takagi-Sugeno fuzzy affine models, the observer-based output feedback control of discrete-time nonlinear two-dimensional systems is investigated, where the two-dimensional system information evolves dynamically along two independent directions. A piecewise fuzzy affine observer is designed to estimate the unmeasurable system states, and two enhanced observer-based piecewise output feedback control approaches are then developed. By making sufficient use of Young’s matrix inequality with its variant, novel and less conservative observer-based piecewise output feedback controller design results are proposed via piecewise quadratic Lyapunov functions. Simulation studies on a doubly-indexed nonlinear process are provided to illustrate the effectiveness of the developed approaches.