Design of model reference adaptive control systems with fractional order adaptive law and its lyapunov stability

Takahiro Takamatsu; Hiromitsu Ohmori

doi:10.1109/ChiCC.2014.6896490

Design of model reference adaptive control systems with fractional order adaptive law and its lyapunov stability

Takahiro Takamatsu, Hiromitsu Ohmori

Department of System Design Engineering

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

6 Citations (Scopus)

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.

Original language	English
Title of host publication	Proceedings of the 33rd Chinese Control Conference, CCC 2014
Editors	Shengyuan Xu, Qianchuan Zhao
Publisher	IEEE Computer Society
Pages	8853-8858
Number of pages	6
ISBN (Electronic)	9789881563842
DOIs	https://doi.org/10.1109/ChiCC.2014.6896490
Publication status	Published - 2014 Sep 11
Event	Proceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China Duration: 2014 Jul 28 → 2014 Jul 30

Publication series

Name	Proceedings of the 33rd Chinese Control Conference, CCC 2014
ISSN (Print)	1934-1768
ISSN (Electronic)	2161-2927

Other

Other	Proceedings of the 33rd Chinese Control Conference, CCC 2014
Country/Territory	China
City	Nanjing
Period	14/7/28 → 14/7/30

Keywords

Adaptive Control
Fractional Calculus
Lyapnov Stability
MRACS
Non-Integer Order Calculus

ASJC Scopus subject areas

Computer Science Applications
Control and Systems Engineering
Applied Mathematics
Modelling and Simulation

Access to Document

10.1109/ChiCC.2014.6896490

Cite this

Takamatsu, T., & Ohmori, H. (2014). Design of model reference adaptive control systems with fractional order adaptive law and its lyapunov stability. In S. Xu, & Q. Zhao (Eds.), Proceedings of the 33rd Chinese Control Conference, CCC 2014 (pp. 8853-8858). [6896490] (Proceedings of the 33rd Chinese Control Conference, CCC 2014). IEEE Computer Society. https://doi.org/10.1109/ChiCC.2014.6896490

Design of model reference adaptive control systems with fractional order adaptive law and its lyapunov stability. / Takamatsu, Takahiro; Ohmori, Hiromitsu.

Proceedings of the 33rd Chinese Control Conference, CCC 2014. ed. / Shengyuan Xu; Qianchuan Zhao. IEEE Computer Society, 2014. p. 8853-8858 6896490 (Proceedings of the 33rd Chinese Control Conference, CCC 2014).

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

Takamatsu, T & Ohmori, H 2014, Design of model reference adaptive control systems with fractional order adaptive law and its lyapunov stability. in S Xu & Q Zhao (eds), Proceedings of the 33rd Chinese Control Conference, CCC 2014., 6896490, Proceedings of the 33rd Chinese Control Conference, CCC 2014, IEEE Computer Society, pp. 8853-8858, Proceedings of the 33rd Chinese Control Conference, CCC 2014, Nanjing, China, 14/7/28. https://doi.org/10.1109/ChiCC.2014.6896490

Takamatsu T, Ohmori H. Design of model reference adaptive control systems with fractional order adaptive law and its lyapunov stability. In Xu S, Zhao Q, editors, Proceedings of the 33rd Chinese Control Conference, CCC 2014. IEEE Computer Society. 2014. p. 8853-8858. 6896490. (Proceedings of the 33rd Chinese Control Conference, CCC 2014). https://doi.org/10.1109/ChiCC.2014.6896490

@inproceedings{0df904d9df4e4a808fb61bf52a8672c6,

title = "Design of model reference adaptive control systems with fractional order adaptive law and its lyapunov 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 TCCT, CAA.; Proceedings of the 33rd Chinese Control Conference, CCC 2014 ; Conference date: 28-07-2014 Through 30-07-2014",

year = "2014",

month = sep,

day = "11",

doi = "10.1109/ChiCC.2014.6896490",

language = "English",

series = "Proceedings of the 33rd Chinese Control Conference, CCC 2014",

publisher = "IEEE Computer Society",

pages = "8853--8858",

editor = "Shengyuan Xu and Qianchuan Zhao",

booktitle = "Proceedings of the 33rd Chinese Control Conference, CCC 2014",

}

TY - GEN

T1 - Design of model reference adaptive control systems with fractional order adaptive law and its lyapunov stability

AU - Takamatsu, Takahiro

AU - Ohmori, Hiromitsu

PY - 2014/9/11

Y1 - 2014/9/11

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=84907930077&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84907930077&partnerID=8YFLogxK

U2 - 10.1109/ChiCC.2014.6896490

DO - 10.1109/ChiCC.2014.6896490

M3 - Conference contribution

AN - SCOPUS:84907930077

T3 - Proceedings of the 33rd Chinese Control Conference, CCC 2014

SP - 8853

EP - 8858

BT - Proceedings of the 33rd Chinese Control Conference, CCC 2014

A2 - Xu, Shengyuan

A2 - Zhao, Qianchuan

PB - IEEE Computer Society

T2 - Proceedings of the 33rd Chinese Control Conference, CCC 2014

Y2 - 28 July 2014 through 30 July 2014

ER -

Design of model reference adaptive control systems with fractional order adaptive law and its lyapunov stability

Abstract

Publication series

Other

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this