Robust H∞ fuzzy observer for a class of time-delay discrete fuzzy bilinear systems with parameter uncertainties

Shun Hung Tsai; Ta Tau Chen; Ming Ying Hsiao; Chin Sheng Chen

doi:10.1109/FUZZY.2011.6007338

Robust H_∞ fuzzy observer for a class of time-delay discrete fuzzy bilinear systems with parameter uncertainties

Shun Hung Tsai
, Ta Tau Chen
, Ming Ying Hsiao
, Chin Sheng Chen

Graduate Institute of Automation Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Scopus citations

Abstract

In this paper, a robust H_∞ fuzzy observer is proposed for a class of time-delay discrete fuzzy bilinear systems with parameter uncertainties. Utilizing the Lipschitz conditions, a linear matrix inequality approach is developed and a sufficient condition is obtained to design the robust H_∞ fuzzy observer. Besides, the robust H _∞ fuzzy observer for time-delay discrete fuzzy bilinear systems with parameter uncertainties can be obtained through the LMIs without any pre-assigned gain matrices. Finally, a numerical example is illustrated the feasibility and effectively of proposed observer design method.

Original language	English
Title of host publication	FUZZ 2011 - 2011 IEEE International Conference on Fuzzy Systems - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	304-310
Number of pages	7
ISBN (Print)	9781424473175
DOIs	https://doi.org/10.1109/FUZZY.2011.6007338
State	Published - 2011

Publication series

Name	IEEE International Conference on Fuzzy Systems
ISSN (Print)	1098-7584

Keywords

Time-delay
fuzzy bilinear system
fuzzy observer
linear matrix inequalities

Access to Document

10.1109/FUZZY.2011.6007338

Cite this

Tsai, S. H., Chen, T. T., Hsiao, M. Y., & Chen, C. S. (2011). Robust H_∞ fuzzy observer for a class of time-delay discrete fuzzy bilinear systems with parameter uncertainties. In FUZZ 2011 - 2011 IEEE International Conference on Fuzzy Systems - Proceedings (pp. 304-310). Article 6007338 (IEEE International Conference on Fuzzy Systems). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/FUZZY.2011.6007338

Tsai, Shun Hung ; Chen, Ta Tau ; Hsiao, Ming Ying et al. / Robust H_∞ fuzzy observer for a class of time-delay discrete fuzzy bilinear systems with parameter uncertainties. FUZZ 2011 - 2011 IEEE International Conference on Fuzzy Systems - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2011. pp. 304-310 (IEEE International Conference on Fuzzy Systems).

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Tsai, SH, Chen, TT, Hsiao, MY & Chen, CS 2011, Robust H_∞ fuzzy observer for a class of time-delay discrete fuzzy bilinear systems with parameter uncertainties. in FUZZ 2011 - 2011 IEEE International Conference on Fuzzy Systems - Proceedings., 6007338, IEEE International Conference on Fuzzy Systems, Institute of Electrical and Electronics Engineers Inc., pp. 304-310. https://doi.org/10.1109/FUZZY.2011.6007338

Robust H_∞ fuzzy observer for a class of time-delay discrete fuzzy bilinear systems with parameter uncertainties. / Tsai, Shun Hung; Chen, Ta Tau; Hsiao, Ming Ying et al.
FUZZ 2011 - 2011 IEEE International Conference on Fuzzy Systems - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2011. p. 304-310 6007338 (IEEE International Conference on Fuzzy Systems).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Tsai SH, Chen TT, Hsiao MY, Chen CS. Robust H_∞ fuzzy observer for a class of time-delay discrete fuzzy bilinear systems with parameter uncertainties. In FUZZ 2011 - 2011 IEEE International Conference on Fuzzy Systems - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2011. p. 304-310. 6007338. (IEEE International Conference on Fuzzy Systems). doi: 10.1109/FUZZY.2011.6007338