Observer based fuzzy control design for singularly perturbed nonlinear systems with parametric uncertainties

Kuo Jung Lin, Tzuu-Hseng S. Li

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper addresses the observer based fuzzy control design for nonlinear singularly perturbed systems in the presence of parametric uncertainties. The Tagkagi-Sugeno (T-S) fuzzy model is adopted for fuzzy model of the singularly perturbed nonlinear systems with parametric uncertainties. Based on the Lyapunov stability theorem and the tool of linear matrix inequality (LMI), we solve some gain matrices, some positive constants and a common positive-definite matrix. And then a sufficient condition is derived to stabilize the singularly perturbed nonlinear systems with parametric uncertainties. Moreover, by the guaranteed ε-bound issue, the proposed scheme can stabilize the systems for all ε ∈(0,ε*). A practical system is given to illustrate the validity of the proposed scheme.

Original languageEnglish
Title of host publicationSICE 2005 Annual Conference in Okayama - Proceedings
Pages938-943
Number of pages6
Publication statusPublished - 2005
EventSICE Annual Conference 2005 - Okayama, Japan
Duration: 2005 Aug 82005 Aug 10

Other

OtherSICE Annual Conference 2005
CountryJapan
CityOkayama
Period05-08-0805-08-10

Fingerprint

Fuzzy control
Nonlinear systems
Linear matrix inequalities
Uncertainty

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Lin, K. J., & Li, T-H. S. (2005). Observer based fuzzy control design for singularly perturbed nonlinear systems with parametric uncertainties. In SICE 2005 Annual Conference in Okayama - Proceedings (pp. 938-943)
Lin, Kuo Jung ; Li, Tzuu-Hseng S. / Observer based fuzzy control design for singularly perturbed nonlinear systems with parametric uncertainties. SICE 2005 Annual Conference in Okayama - Proceedings. 2005. pp. 938-943
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Lin, KJ & Li, T-HS 2005, Observer based fuzzy control design for singularly perturbed nonlinear systems with parametric uncertainties. in SICE 2005 Annual Conference in Okayama - Proceedings. pp. 938-943, SICE Annual Conference 2005, Okayama, Japan, 05-08-08.

Observer based fuzzy control design for singularly perturbed nonlinear systems with parametric uncertainties. / Lin, Kuo Jung; Li, Tzuu-Hseng S.

SICE 2005 Annual Conference in Okayama - Proceedings. 2005. p. 938-943.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Lin KJ, Li T-HS. Observer based fuzzy control design for singularly perturbed nonlinear systems with parametric uncertainties. In SICE 2005 Annual Conference in Okayama - Proceedings. 2005. p. 938-943