Piecewise H∞ Static Output Feedback Controller Design for Nonlinear Systems Based on T-S Affine Fuzzy Models

This paper is concerned with the problem of designing H∞ controllers via static output feedback controller for a class of complex nonlinear systems, which is approximated by continuous-time affine fuzzy models. A decomposition method is presented to divide the output-space into different operating regions and interpolation regions. Based on this partition, a novel piecewise controller with affine terms via static output feedback is designed. By using a dilated linear matrix inequality (LMI) characterization, some nonconvex conditions are converted into convex ones to make the asymptotic stability and H∞ performance of the closed-looped system. The effectiveness of the proposed method is illustrated by a numerical example