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

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  • Xingang Zhao

Abstract

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.

Suggested Citation

  • Xingang Zhao, 2015. "Piecewise Static Output Feedback Controller Design for Nonlinear Systems Based on T-S Affine Fuzzy Models," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-9, March.
    • Handle: RePEc:hin:jnlmpe:734934
    DOI: 10.1155/2015/734934
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