Design of MRACS containing adaptive law using fractional calculus and its lyapnov stability

Takahiro Takamatsu; Hiromitsu Ohmori

doi:10.1541/ieejeiss.134.1228

Design of MRACS containing adaptive law using fractional calculus and its lyapnov stability

Takahiro Takamatsu, Hiromitsu Ohmori

システムデザイン工学科

研究成果: Article › 査読

抄録

Model reference adaptive control systems (MRACS) is the one of the useful systems to control the plant containing unknown variable parameters. However, to design MRACS, it has been needed to satisfy model matching condition. In this paper, to improve the response in the case unsatisfying model matching condition, we design an adaptive law containing fractional order integrator in adaptive law, and prove the system's Lyapnov stability.

本文言語	English
ページ（範囲）	1228-1234
ページ数	7
ジャーナル	IEEJ Transactions on Electronics, Information and Systems
巻	134
号	9
DOI	https://doi.org/10.1541/ieejeiss.134.1228
出版ステータス	Published - 2014

ASJC Scopus subject areas

電子工学および電気工学

文献へのアクセス

10.1541/ieejeiss.134.1228

他のファイルとリンク

引用スタイル

@article{000ba0d39623406bb7004db9bc2b4457,

title = "Design of MRACS containing adaptive law using fractional calculus and its lyapnov stability",

abstract = "Model reference adaptive control systems (MRACS) is the one of the useful systems to control the plant containing unknown variable parameters. However, to design MRACS, it has been needed to satisfy model matching condition. In this paper, to improve the response in the case unsatisfying model matching condition, we design an adaptive law containing fractional order integrator in adaptive law, and prove the system's Lyapnov stability.",

keywords = "Adaptive control, Fractional calculus, Lyapnov stability, MRACS, Non-integer order calculus",

author = "Takahiro Takamatsu and Hiromitsu Ohmori",

note = "Publisher Copyright: {\textcopyright} 2014 The Institute of Electrical Engineers of Japan.",

year = "2014",

doi = "10.1541/ieejeiss.134.1228",

language = "English",

volume = "134",

pages = "1228--1234",

journal = "IEEJ Transactions on Electronics, Information and Systems",

issn = "0385-4221",

publisher = "The Institute of Electrical Engineers of Japan",

number = "9",

}

TY - JOUR

T1 - Design of MRACS containing adaptive law using fractional calculus and its lyapnov stability

AU - Takamatsu, Takahiro

AU - Ohmori, Hiromitsu

PY - 2014

Y1 - 2014

N2 - Model reference adaptive control systems (MRACS) is the one of the useful systems to control the plant containing unknown variable parameters. However, to design MRACS, it has been needed to satisfy model matching condition. In this paper, to improve the response in the case unsatisfying model matching condition, we design an adaptive law containing fractional order integrator in adaptive law, and prove the system's Lyapnov stability.

AB - Model reference adaptive control systems (MRACS) is the one of the useful systems to control the plant containing unknown variable parameters. However, to design MRACS, it has been needed to satisfy model matching condition. In this paper, to improve the response in the case unsatisfying model matching condition, we design an adaptive law containing fractional order integrator in adaptive law, and prove the system's Lyapnov stability.

KW - Adaptive control

KW - Fractional calculus

KW - Lyapnov stability

KW - MRACS

KW - Non-integer order calculus

UR - http://www.scopus.com/inward/record.url?scp=84907061458&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84907061458&partnerID=8YFLogxK

U2 - 10.1541/ieejeiss.134.1228

DO - 10.1541/ieejeiss.134.1228

M3 - Article

AN - SCOPUS:84907061458

SN - 0385-4221

VL - 134

SP - 1228

EP - 1234

JO - IEEJ Transactions on Electronics, Information and Systems

JF - IEEJ Transactions on Electronics, Information and Systems

IS - 9

ER -

Design of MRACS containing adaptive law using fractional calculus and its lyapnov stability

抄録

ASJC Scopus subject areas

文献へのアクセス

他のファイルとリンク

フィンガープリント

引用スタイル