Robust and non-fragile H∞ controller design with fuzzy compensator for hovering helicopter

Do Hyung Lim; Joon Ki Kim; Jeong Yup Han; Soon Ju Kang; Hong Bae Park

Robust and non-fragile H^∞ controller design with fuzzy compensator for hovering helicopter

Do Hyung Lim, Joon Ki Kim, Jeong Yup Han, Soon Ju Kang, Hong Bae Park

Kyungpook National University

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

Abstract

Hovering helicopters have severe nonlinearity and uncertainties. In this paper, we describe the synthesis of robust and non-fragile H^∞ controllers for linear time varying systems with affine parameter uncertainties, as well as static state feedback controller with polytopic uncertainty. For practical control design, we use fuzzy logic controllers of Mamdani type to compensate the nonlinearity. The sufficient condition of controller existence, the design method of robust and non-fragile ff static state feedback controller with fuzzy compensator, and the region of controllers which satisfies non-fragility are presented. Also, the obtained condition can be rewritten as Parameterized Linear Matrix Inequalities (PLMIs), that is, LMIs whose coefficients are functions of a parameter confined to a compact set.

Original language	English
Title of host publication	CITSA 2006 - 3rd Int. Conf. on Cybernetics and Information Technol., Systems and Applications, Jointly with the 4th Int. Conf. on Computing, Communications and Control Technologies, CCCT 2006 - Proc.
Publisher	International Institute of Informatics and Systemics, IIIS
Pages	197-202
Number of pages	6
ISBN (Print)	9806560841, 9789806560840
State	Published - 2006
Event	3rd International Conference on Cybernetics and Information Technologies, Systems and Applications, CITSA 2006, Jointly with the 4th International Conference on Computing, Communications and Control Technologies, CCCT 2006 - Orlando, FL, United States Duration: 20 Jul 2006 → 23 Jul 2006

Publication series

Name	CITSA 2006 - 3rd Int. Conf. on Cybernetics and Information Technol., Systems and Applications, Jointly with the 4th Int. Conf. on Computing, Communications and Control Technologies, CCCT 2006 - Proc.
Volume	2

Conference

Conference	3rd International Conference on Cybernetics and Information Technologies, Systems and Applications, CITSA 2006, Jointly with the 4th International Conference on Computing, Communications and Control Technologies, CCCT 2006
Country/Territory	United States
City	Orlando, FL
Period	20/07/06 → 23/07/06

Keywords

Control
Fuzzy compensator
Hovering helicopter
Parameterized Linear Matrix Inequalities

Cite this

Lim, D. H., Kim, J. K., Han, J. Y., Kang, S. J., & Park, H. B. (2006). Robust and non-fragile H^∞ controller design with fuzzy compensator for hovering helicopter. In CITSA 2006 - 3rd Int. Conf. on Cybernetics and Information Technol., Systems and Applications, Jointly with the 4th Int. Conf. on Computing, Communications and Control Technologies, CCCT 2006 - Proc. (pp. 197-202). (CITSA 2006 - 3rd Int. Conf. on Cybernetics and Information Technol., Systems and Applications, Jointly with the 4th Int. Conf. on Computing, Communications and Control Technologies, CCCT 2006 - Proc.; Vol. 2). International Institute of Informatics and Systemics, IIIS.

Lim, Do Hyung ; Kim, Joon Ki ; Han, Jeong Yup et al. / Robust and non-fragile H^∞ controller design with fuzzy compensator for hovering helicopter. CITSA 2006 - 3rd Int. Conf. on Cybernetics and Information Technol., Systems and Applications, Jointly with the 4th Int. Conf. on Computing, Communications and Control Technologies, CCCT 2006 - Proc.. International Institute of Informatics and Systemics, IIIS, 2006. pp. 197-202 (CITSA 2006 - 3rd Int. Conf. on Cybernetics and Information Technol., Systems and Applications, Jointly with the 4th Int. Conf. on Computing, Communications and Control Technologies, CCCT 2006 - Proc.).

@inproceedings{1ff275a08d224850b2391e5776dd2e61,

title = "Robust and non-fragile H∞ controller design with fuzzy compensator for hovering helicopter",

abstract = "Hovering helicopters have severe nonlinearity and uncertainties. In this paper, we describe the synthesis of robust and non-fragile H∞ controllers for linear time varying systems with affine parameter uncertainties, as well as static state feedback controller with polytopic uncertainty. For practical control design, we use fuzzy logic controllers of Mamdani type to compensate the nonlinearity. The sufficient condition of controller existence, the design method of robust and non-fragile ff static state feedback controller with fuzzy compensator, and the region of controllers which satisfies non-fragility are presented. Also, the obtained condition can be rewritten as Parameterized Linear Matrix Inequalities (PLMIs), that is, LMIs whose coefficients are functions of a parameter confined to a compact set.",

keywords = "Control, Fuzzy compensator, Hovering helicopter, Parameterized Linear Matrix Inequalities",

author = "Lim, {Do Hyung} and Kim, {Joon Ki} and Han, {Jeong Yup} and Kang, {Soon Ju} and Park, {Hong Bae}",

year = "2006",

language = "English",

isbn = "9806560841",

series = "CITSA 2006 - 3rd Int. Conf. on Cybernetics and Information Technol., Systems and Applications, Jointly with the 4th Int. Conf. on Computing, Communications and Control Technologies, CCCT 2006 - Proc.",

publisher = "International Institute of Informatics and Systemics, IIIS",

pages = "197--202",

booktitle = "CITSA 2006 - 3rd Int. Conf. on Cybernetics and Information Technol., Systems and Applications, Jointly with the 4th Int. Conf. on Computing, Communications and Control Technologies, CCCT 2006 - Proc.",

note = "3rd International Conference on Cybernetics and Information Technologies, Systems and Applications, CITSA 2006, Jointly with the 4th International Conference on Computing, Communications and Control Technologies, CCCT 2006 ; Conference date: 20-07-2006 Through 23-07-2006",

}

Lim, DH, Kim, JK, Han, JY, Kang, SJ & Park, HB 2006, Robust and non-fragile H^∞ controller design with fuzzy compensator for hovering helicopter. in CITSA 2006 - 3rd Int. Conf. on Cybernetics and Information Technol., Systems and Applications, Jointly with the 4th Int. Conf. on Computing, Communications and Control Technologies, CCCT 2006 - Proc.. CITSA 2006 - 3rd Int. Conf. on Cybernetics and Information Technol., Systems and Applications, Jointly with the 4th Int. Conf. on Computing, Communications and Control Technologies, CCCT 2006 - Proc., vol. 2, International Institute of Informatics and Systemics, IIIS, pp. 197-202, 3rd International Conference on Cybernetics and Information Technologies, Systems and Applications, CITSA 2006, Jointly with the 4th International Conference on Computing, Communications and Control Technologies, CCCT 2006, Orlando, FL, United States, 20/07/06.

Robust and non-fragile H^∞ controller design with fuzzy compensator for hovering helicopter. / Lim, Do Hyung; Kim, Joon Ki; Han, Jeong Yup et al.
CITSA 2006 - 3rd Int. Conf. on Cybernetics and Information Technol., Systems and Applications, Jointly with the 4th Int. Conf. on Computing, Communications and Control Technologies, CCCT 2006 - Proc.. International Institute of Informatics and Systemics, IIIS, 2006. p. 197-202 (CITSA 2006 - 3rd Int. Conf. on Cybernetics and Information Technol., Systems and Applications, Jointly with the 4th Int. Conf. on Computing, Communications and Control Technologies, CCCT 2006 - Proc.; Vol. 2).

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

TY - GEN

T1 - Robust and non-fragile H∞ controller design with fuzzy compensator for hovering helicopter

AU - Lim, Do Hyung

AU - Kim, Joon Ki

AU - Han, Jeong Yup

AU - Kang, Soon Ju

AU - Park, Hong Bae

PY - 2006

Y1 - 2006

N2 - Hovering helicopters have severe nonlinearity and uncertainties. In this paper, we describe the synthesis of robust and non-fragile H∞ controllers for linear time varying systems with affine parameter uncertainties, as well as static state feedback controller with polytopic uncertainty. For practical control design, we use fuzzy logic controllers of Mamdani type to compensate the nonlinearity. The sufficient condition of controller existence, the design method of robust and non-fragile ff static state feedback controller with fuzzy compensator, and the region of controllers which satisfies non-fragility are presented. Also, the obtained condition can be rewritten as Parameterized Linear Matrix Inequalities (PLMIs), that is, LMIs whose coefficients are functions of a parameter confined to a compact set.

AB - Hovering helicopters have severe nonlinearity and uncertainties. In this paper, we describe the synthesis of robust and non-fragile H∞ controllers for linear time varying systems with affine parameter uncertainties, as well as static state feedback controller with polytopic uncertainty. For practical control design, we use fuzzy logic controllers of Mamdani type to compensate the nonlinearity. The sufficient condition of controller existence, the design method of robust and non-fragile ff static state feedback controller with fuzzy compensator, and the region of controllers which satisfies non-fragility are presented. Also, the obtained condition can be rewritten as Parameterized Linear Matrix Inequalities (PLMIs), that is, LMIs whose coefficients are functions of a parameter confined to a compact set.

KW - Control

KW - Fuzzy compensator

KW - Hovering helicopter

KW - Parameterized Linear Matrix Inequalities

UR - http://www.scopus.com/inward/record.url?scp=84898469885&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84898469885

SN - 9806560841

SN - 9789806560840

T3 - CITSA 2006 - 3rd Int. Conf. on Cybernetics and Information Technol., Systems and Applications, Jointly with the 4th Int. Conf. on Computing, Communications and Control Technologies, CCCT 2006 - Proc.

SP - 197

EP - 202

BT - CITSA 2006 - 3rd Int. Conf. on Cybernetics and Information Technol., Systems and Applications, Jointly with the 4th Int. Conf. on Computing, Communications and Control Technologies, CCCT 2006 - Proc.

PB - International Institute of Informatics and Systemics, IIIS

T2 - 3rd International Conference on Cybernetics and Information Technologies, Systems and Applications, CITSA 2006, Jointly with the 4th International Conference on Computing, Communications and Control Technologies, CCCT 2006

Y2 - 20 July 2006 through 23 July 2006

ER -

Lim DH, Kim JK, Han JY, Kang SJ, Park HB. Robust and non-fragile H^∞ controller design with fuzzy compensator for hovering helicopter. In CITSA 2006 - 3rd Int. Conf. on Cybernetics and Information Technol., Systems and Applications, Jointly with the 4th Int. Conf. on Computing, Communications and Control Technologies, CCCT 2006 - Proc.. International Institute of Informatics and Systemics, IIIS. 2006. p. 197-202. (CITSA 2006 - 3rd Int. Conf. on Cybernetics and Information Technol., Systems and Applications, Jointly with the 4th Int. Conf. on Computing, Communications and Control Technologies, CCCT 2006 - Proc.).