Piecewise \(H_{\infty}\) static output feedback controller design for nonlinear systems based on T-S affine fuzzy models
Summary: This paper is concerned with the problem of designing \(H_{\infty}\) 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 \(H_{\infty}\) performance of the closed-looped system. The effectiveness of the proposed method is illustrated by a numerical example.
scientific article; zbMATH DE number 6927119
scientific article