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Mathematical Problems in Engineering
Volume 2015, Article ID 734934, 9 pages
Research Article

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

State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China

Received 23 October 2014; Accepted 27 January 2015

Academic Editor: Hak-Keung Lam

Copyright © 2015 Xingang Zhao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is concerned with the problem of designing 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 performance of the closed-looped system. The effectiveness of the proposed method is illustrated by a numerical example.