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

Takahiro Takamatsu, Hiromitsu Ohmori

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 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 languageEnglish
Title of host publicationProceedings of the 33rd Chinese Control Conference, CCC 2014
PublisherIEEE Computer Society
Pages8853-8858
Number of pages6
ISBN (Print)9789881563842
DOIs
Publication statusPublished - 2014 Sep 11
EventProceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China
Duration: 2014 Jul 282014 Jul 30

Other

OtherProceedings of the 33rd Chinese Control Conference, CCC 2014
CountryChina
CityNanjing
Period14/7/2814/7/30

Fingerprint

Model Reference Adaptive Control
Model reference adaptive control
Adaptive control systems
Model Matching
Lyapunov Stability
Adaptive Systems
Fractional Order
Control System
System stability
Unknown
Design

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

Cite this

Takamatsu, T., & Ohmori, H. (2014). Design of model reference adaptive control systems with fractional order adaptive law and its lyapunov stability. In Proceedings of the 33rd Chinese Control Conference, CCC 2014 (pp. 8853-8858). [6896490] 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. IEEE Computer Society, 2014. p. 8853-8858 6896490.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Takamatsu, T & Ohmori, H 2014, Design of model reference adaptive control systems with fractional order adaptive law and its lyapunov stability. in Proceedings of the 33rd Chinese Control Conference, CCC 2014., 6896490, 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 Proceedings of the 33rd Chinese Control Conference, CCC 2014. IEEE Computer Society. 2014. p. 8853-8858. 6896490 https://doi.org/10.1109/ChiCC.2014.6896490
Takamatsu, Takahiro ; Ohmori, Hiromitsu. / Design of model reference adaptive control systems with fractional order adaptive law and its lyapunov stability. Proceedings of the 33rd Chinese Control Conference, CCC 2014. IEEE Computer Society, 2014. pp. 8853-8858
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