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 language | English |
|---|---|
| Title of host publication | SICE 2005 Annual Conference in Okayama - Proceedings |
| Pages | 938-943 |
| Number of pages | 6 |
| Publication status | Published - 2005 |
| Event | SICE Annual Conference 2005 - Okayama, Japan Duration: 2005 Aug 8 → 2005 Aug 10 |
Other
| Other | SICE Annual Conference 2005 |
|---|---|
| Country | Japan |
| City | Okayama |
| Period | 05-08-08 → 05-08-10 |
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All Science Journal Classification (ASJC) codes
- Engineering(all)
Cite this
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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 proceeding › Conference contribution
TY - GEN
T1 - Observer based fuzzy control design for singularly perturbed nonlinear systems with parametric uncertainties
AU - Lin, Kuo Jung
AU - Li, Tzuu-Hseng S.
PY - 2005
Y1 - 2005
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33645308548&partnerID=8YFLogxK
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M3 - Conference contribution
SP - 938
EP - 943
BT - SICE 2005 Annual Conference in Okayama - Proceedings
ER -