Relaxed filtering designs for continuous-time nonlinear systems via novel fuzzy H∞ filters

  • Authors:

  • Xiang-Peng Xie;Xun-Lin Zhu;Da-Wei Gong

  • Affiliations:

  • Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China and School of Electrical Engineering and Automation, Henan Polytechnic University, ...;Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China;School of Mechatronics Engineering, University of Electronic Science and Technology, Chengdu 610054, China

  • Venue:
  • Signal Processing
  • Year:
  • 2013

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Abstract

This paper investigates the problem of H"~ filtering for continuous-time nonlinear systems in the Takagi-Sugeno (T-S) fuzzy model form. Different from the existing fuzzy H"~ filters, a novel filter is designed such that the filter matrices are homogeneous polynomially parameter dependent on membership functions with an arbitrary degree. By developing both the novel fuzzy H"~ filter and a kind of slack matrix variable technique, relaxed filtering conditions for implementing the H"~ filter are proposed in terms of linear matrix inequalities (LMIs), while the filtering error system preserves a smaller prescribed H"~ performance index than the existing ones. Finally, a numerical example is given to illustrate to show the effectiveness of the proposed approach.