T-S fuzzy controller for a class of uncertain nonlinear systems

Hugang Han; Bo Mo; Fenghui Yao

doi:10.1109/MWSCAS.2008.4616737

T-S fuzzy controller for a class of uncertain nonlinear systems

Hugang Han^*
, Bo Mo
, Fenghui Yao

^*Corresponding author for this work

School of Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In general, the state feedback control gain can be obtained by solving certain linear matrix inequalities (LMIs) when using the Takagi-Sugeno (T-S) fuzzy model to develop a control system. In this paper, the reconstruction error between the real system to be controlled and its T-S fuzzy model, which consists of parameter uncertainties and external disturbance, is considered. As a result, we arrive at a new T-S fuzzy controller that has two parts: one is obtained by solving certain LMIs (fixed part) and another one is acquired by an adaptive law (variable part). The proposed controller can guarantee the control state to converge and uniformly bounded while maintaining all the signals involved stable.

Original language	English
Title of host publication	2008 IEEE International 51st Midwest Symposium on Circuits and Systems, MWSCAS
Pages	65-68
Number of pages	4
DOIs	https://doi.org/10.1109/MWSCAS.2008.4616737
Publication status	Published - 2008
Event	2008 IEEE International 51st Midwest Symposium on Circuits and Systems, MWSCAS - Knoxville, TN, United States Duration: 10 Aug 2008 → 13 Aug 2008

Publication series

Name	Midwest Symposium on Circuits and Systems
ISSN (Print)	1548-3746

Conference

Conference	2008 IEEE International 51st Midwest Symposium on Circuits and Systems, MWSCAS
Country/Territory	United States
City	Knoxville, TN
Period	10/08/08 → 13/08/08

Access to Document

10.1109/MWSCAS.2008.4616737

Cite this

@inproceedings{aa9bb878cbee41fe920dfaf14d8e5f9f,

title = "T-S fuzzy controller for a class of uncertain nonlinear systems",

abstract = "In general, the state feedback control gain can be obtained by solving certain linear matrix inequalities (LMIs) when using the Takagi-Sugeno (T-S) fuzzy model to develop a control system. In this paper, the reconstruction error between the real system to be controlled and its T-S fuzzy model, which consists of parameter uncertainties and external disturbance, is considered. As a result, we arrive at a new T-S fuzzy controller that has two parts: one is obtained by solving certain LMIs (fixed part) and another one is acquired by an adaptive law (variable part). The proposed controller can guarantee the control state to converge and uniformly bounded while maintaining all the signals involved stable.",

author = "Hugang Han and Bo Mo and Fenghui Yao",

year = "2008",

doi = "10.1109/MWSCAS.2008.4616737",

language = "English",

isbn = "9781424421671",

series = "Midwest Symposium on Circuits and Systems",

pages = "65--68",

booktitle = "2008 IEEE International 51st Midwest Symposium on Circuits and Systems, MWSCAS",

note = "2008 IEEE International 51st Midwest Symposium on Circuits and Systems, MWSCAS ; Conference date: 10-08-2008 Through 13-08-2008",

}

Han, H, Mo, B & Yao, F 2008, T-S fuzzy controller for a class of uncertain nonlinear systems. in 2008 IEEE International 51st Midwest Symposium on Circuits and Systems, MWSCAS., 4616737, Midwest Symposium on Circuits and Systems, pp. 65-68, 2008 IEEE International 51st Midwest Symposium on Circuits and Systems, MWSCAS, Knoxville, TN, United States, 10/08/08. https://doi.org/10.1109/MWSCAS.2008.4616737

TY - GEN

T1 - T-S fuzzy controller for a class of uncertain nonlinear systems

AU - Han, Hugang

AU - Mo, Bo

AU - Yao, Fenghui

PY - 2008

Y1 - 2008

N2 - In general, the state feedback control gain can be obtained by solving certain linear matrix inequalities (LMIs) when using the Takagi-Sugeno (T-S) fuzzy model to develop a control system. In this paper, the reconstruction error between the real system to be controlled and its T-S fuzzy model, which consists of parameter uncertainties and external disturbance, is considered. As a result, we arrive at a new T-S fuzzy controller that has two parts: one is obtained by solving certain LMIs (fixed part) and another one is acquired by an adaptive law (variable part). The proposed controller can guarantee the control state to converge and uniformly bounded while maintaining all the signals involved stable.

AB - In general, the state feedback control gain can be obtained by solving certain linear matrix inequalities (LMIs) when using the Takagi-Sugeno (T-S) fuzzy model to develop a control system. In this paper, the reconstruction error between the real system to be controlled and its T-S fuzzy model, which consists of parameter uncertainties and external disturbance, is considered. As a result, we arrive at a new T-S fuzzy controller that has two parts: one is obtained by solving certain LMIs (fixed part) and another one is acquired by an adaptive law (variable part). The proposed controller can guarantee the control state to converge and uniformly bounded while maintaining all the signals involved stable.

UR - https://www.scopus.com/pages/publications/54249144591

U2 - 10.1109/MWSCAS.2008.4616737

DO - 10.1109/MWSCAS.2008.4616737

M3 - Conference contribution

AN - SCOPUS:54249144591

SN - 9781424421671

T3 - Midwest Symposium on Circuits and Systems

SP - 65

EP - 68

BT - 2008 IEEE International 51st Midwest Symposium on Circuits and Systems, MWSCAS

T2 - 2008 IEEE International 51st Midwest Symposium on Circuits and Systems, MWSCAS

Y2 - 10 August 2008 through 13 August 2008

ER -

T-S fuzzy controller for a class of uncertain nonlinear systems

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this