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

Kuo Jung Lin; Tzuu-Hseng S. Li

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

Department of Electrical Engineering

Research output: Contribution to conference › Paper › peer-review

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
Pages	938-943
Number of pages	6
Publication status	Published - 2005 Dec 1
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

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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Cite this

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title = "Observer based fuzzy control design for singularly perturbed nonlinear systems with parametric uncertainties",

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.",

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T1 - Observer based fuzzy control design for singularly perturbed nonlinear systems with parametric uncertainties

AU - Lin, Kuo Jung

AU - Li, Tzuu-Hseng S.

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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.

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