Stability and robustness analysis of uncertain multivariable continuous-time nonlinear systems with digital fuzzy controller

H. K. Lam; Hung Fat Frank Leung; P. K S Tam

Stability and robustness analysis of uncertain multivariable continuous-time nonlinear systems with digital fuzzy controller

H. K. Lam
, Hung Fat Frank Leung
, P. K S Tam

The Hong Kong Polytechnic University

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

1 Citation (Scopus)

Abstract

This paper presents the analyses of the stability and robustness of multivariable continuous-time nonlinear systems subject to parameter uncertainties and with digital fuzzy controllers. To proceed with the analysis, first, an uncertain multivariable nonlinear plant will be represented by a fuzzy plant model with parameter uncertainties. Second, a digital fuzzy controller is designed to close the feedback loop. Third, the stability criteria, the robust area and the largest sampling period will be derived in terms of the matrix measures of the system parameters and the norms of the parameter uncertainties. An application example on stabilizing an uncertain nonlinear mass-spring-damper system will be given to show the stabilizability and robustness properties of the proposed digital fuzzy controller.

Original language	English
Title of host publication	IEEE International Conference on Fuzzy Systems
Publisher	IEEE
Pages	498-503
Number of pages	6
Publication status	Published - 1 Jan 1998
Event	Proceedings of the 1998 IEEE International Conference on Fuzzy Systems,. Part 2 (of 2) - Anchorage, AK, United States Duration: 4 May 1998 → 9 May 1998

Conference

Conference	Proceedings of the 1998 IEEE International Conference on Fuzzy Systems,. Part 2 (of 2)
Country/Territory	United States
City	Anchorage, AK
Period	4/05/98 → 9/05/98

ASJC Scopus subject areas

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

More information

http://hdl.handle.net/10397/1402

Cite this

@inproceedings{d5ec5be1aeac40ec810621b78bbab248,

title = "Stability and robustness analysis of uncertain multivariable continuous-time nonlinear systems with digital fuzzy controller",

abstract = "This paper presents the analyses of the stability and robustness of multivariable continuous-time nonlinear systems subject to parameter uncertainties and with digital fuzzy controllers. To proceed with the analysis, first, an uncertain multivariable nonlinear plant will be represented by a fuzzy plant model with parameter uncertainties. Second, a digital fuzzy controller is designed to close the feedback loop. Third, the stability criteria, the robust area and the largest sampling period will be derived in terms of the matrix measures of the system parameters and the norms of the parameter uncertainties. An application example on stabilizing an uncertain nonlinear mass-spring-damper system will be given to show the stabilizability and robustness properties of the proposed digital fuzzy controller.",

author = "Lam, \{H. K.\} and Leung, \{Hung Fat Frank\} and Tam, \{P. K S\}",

year = "1998",

month = jan,

day = "1",

language = "English",

pages = "498--503",

booktitle = "IEEE International Conference on Fuzzy Systems",

publisher = "IEEE",

address = "United States",

note = "Proceedings of the 1998 IEEE International Conference on Fuzzy Systems,. Part 2 (of 2) ; Conference date: 04-05-1998 Through 09-05-1998",

}

Lam, HK, Leung, HFF & Tam, PKS 1998, Stability and robustness analysis of uncertain multivariable continuous-time nonlinear systems with digital fuzzy controller. in IEEE International Conference on Fuzzy Systems. IEEE, pp. 498-503, Proceedings of the 1998 IEEE International Conference on Fuzzy Systems,. Part 2 (of 2), Anchorage, AK, United States, 4/05/98. <http://hdl.handle.net/10397/1402>

Stability and robustness analysis of uncertain multivariable continuous-time nonlinear systems with digital fuzzy controller. / Lam, H. K.; Leung, Hung Fat Frank; Tam, P. K S.
IEEE International Conference on Fuzzy Systems. IEEE, 1998. p. 498-503.

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

TY - GEN

T1 - Stability and robustness analysis of uncertain multivariable continuous-time nonlinear systems with digital fuzzy controller

AU - Lam, H. K.

AU - Leung, Hung Fat Frank

AU - Tam, P. K S

PY - 1998/1/1

Y1 - 1998/1/1

N2 - This paper presents the analyses of the stability and robustness of multivariable continuous-time nonlinear systems subject to parameter uncertainties and with digital fuzzy controllers. To proceed with the analysis, first, an uncertain multivariable nonlinear plant will be represented by a fuzzy plant model with parameter uncertainties. Second, a digital fuzzy controller is designed to close the feedback loop. Third, the stability criteria, the robust area and the largest sampling period will be derived in terms of the matrix measures of the system parameters and the norms of the parameter uncertainties. An application example on stabilizing an uncertain nonlinear mass-spring-damper system will be given to show the stabilizability and robustness properties of the proposed digital fuzzy controller.

AB - This paper presents the analyses of the stability and robustness of multivariable continuous-time nonlinear systems subject to parameter uncertainties and with digital fuzzy controllers. To proceed with the analysis, first, an uncertain multivariable nonlinear plant will be represented by a fuzzy plant model with parameter uncertainties. Second, a digital fuzzy controller is designed to close the feedback loop. Third, the stability criteria, the robust area and the largest sampling period will be derived in terms of the matrix measures of the system parameters and the norms of the parameter uncertainties. An application example on stabilizing an uncertain nonlinear mass-spring-damper system will be given to show the stabilizability and robustness properties of the proposed digital fuzzy controller.

UR - https://www.scopus.com/pages/publications/0031618525

M3 - Conference article published in proceeding or book

SP - 498

EP - 503

BT - IEEE International Conference on Fuzzy Systems

PB - IEEE

T2 - Proceedings of the 1998 IEEE International Conference on Fuzzy Systems,. Part 2 (of 2)

Y2 - 4 May 1998 through 9 May 1998

ER -

Stability and robustness analysis of uncertain multivariable continuous-time nonlinear systems with digital fuzzy controller

Abstract

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ASJC Scopus subject areas

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