LMI-based stability and performance conditions for continuous-time nonlinear systems in Takagi-Sugeno's form

H. K. Lam; Hung Fat Frank Leung

doi:10.1109/FUZZY.2006.1681980

LMI-based stability and performance conditions for continuous-time nonlinear systems in Takagi-Sugeno's form

H. K. Lam
, Hung Fat Frank Leung

The Hong Kong Polytechnic University

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

Abstract

This paper presents the stability analysis and performance design of the continuous-time fuzzy-model-based control systems. A nonlinear controller will be proposed to stabilize the nonlinear systems in Takagi-Sugeno's form. LMI-based stability conditions will be derived the parameter-dependent Lyapunov function to guarantee the system stability. Furthermore, based on the commonly-used performance index, LMI-based performance conditions will be derived to achieve the system performance. A numerical example will be given to illustrate the effectiveness of the proposed approach.

Original language	English
Title of host publication	2006 IEEE International Conference on Fuzzy Systems
Pages	2020-2026
Number of pages	7
DOIs	https://doi.org/10.1109/FUZZY.2006.1681980
Publication status	Published - 1 Dec 2006
Event	2006 IEEE International Conference on Fuzzy Systems - Vancouver, BC, Canada Duration: 16 Jul 2006 → 21 Jul 2006

Conference

Conference	2006 IEEE International Conference on Fuzzy Systems
Country/Territory	Canada
City	Vancouver, BC
Period	16/07/06 → 21/07/06

ASJC Scopus subject areas

Software
Safety, Risk, Reliability and Quality
Chemical Health and Safety

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10.1109/FUZZY.2006.1681980

http://hdl.handle.net/10397/1430

Cite this

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title = "LMI-based stability and performance conditions for continuous-time nonlinear systems in Takagi-Sugeno's form",

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LMI-based stability and performance conditions for continuous-time nonlinear systems in Takagi-Sugeno's form. / Lam, H. K.; Leung, Hung Fat Frank.
2006 IEEE International Conference on Fuzzy Systems. 2006. p. 2020-2026 1681980.

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

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N2 - This paper presents the stability analysis and performance design of the continuous-time fuzzy-model-based control systems. A nonlinear controller will be proposed to stabilize the nonlinear systems in Takagi-Sugeno's form. LMI-based stability conditions will be derived the parameter-dependent Lyapunov function to guarantee the system stability. Furthermore, based on the commonly-used performance index, LMI-based performance conditions will be derived to achieve the system performance. A numerical example will be given to illustrate the effectiveness of the proposed approach.

AB - This paper presents the stability analysis and performance design of the continuous-time fuzzy-model-based control systems. A nonlinear controller will be proposed to stabilize the nonlinear systems in Takagi-Sugeno's form. LMI-based stability conditions will be derived the parameter-dependent Lyapunov function to guarantee the system stability. Furthermore, based on the commonly-used performance index, LMI-based performance conditions will be derived to achieve the system performance. A numerical example will be given to illustrate the effectiveness of the proposed approach.

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M3 - Conference article published in proceeding or book

SN - 0780394887

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LMI-based stability and performance conditions for continuous-time nonlinear systems in Takagi-Sugeno's form

Abstract

Conference

ASJC Scopus subject areas

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