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

4 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	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

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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

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