English

Improved Fuzzy $H_{\infty}$ Filter Design Method for Nonlinear Systems with Time-Varing Delay

Systems and Control 2022-09-14 v1 Systems and Control

Abstract

This paper investigates the fuzzy HH_{\infty} filter design issue for nonlinear systems with time-varying delay. In order to obtain less conservative fuzzy HH_{\infty} filter design method, a novel integral inequality is employed to replace the conventional Lebniz-Newton formula to analyze the stability conditions of the filtering error system. Besides, the information of the membership functions is introduced in the criterion to further relax the derived results. The proposed delay dependent filter design method is presented as LMI-based conditions, and corresponding definite expressions of fuzzy HH_{\infty} filter are given as well. Finally, a simulation example is provided to prove the effectiveness and superiority of the designed fuzzy HH_{\infty} filter.

Keywords

Cite

@article{arxiv.2209.05482,
  title  = {Improved Fuzzy $H_{\infty}$ Filter Design Method for Nonlinear Systems with Time-Varing Delay},
  author = {Qianqian Ma and Li Li and Junhui Shen and Haowei Guan and Guangcheng Ma and Hongwei Xia},
  journal= {arXiv preprint arXiv:2209.05482},
  year   = {2022}
}

Comments

This paper was published in 2017 IEEE SMC. arXiv admin note: text overlap with arXiv:2209.04989. text overlap with arXiv:2209.04989

R2 v1 2026-06-28T01:09:20.927Z