Design of adaptive systems by using fractional calculus system's approach

Takamatsu Takahiro, Hiromitsu Ohmori

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

2 Citations (Scopus)

Abstract

The Model Reference Control System (MRACS) is the control system tuning its controller to match the controlled system to the reference model designed in the system adaptively. Conventional MRACS assumed the order of integration or derivative as integer order. By introducing fractional order integration or derivative (Fractional Calculus,) MRACS can use the arbitrary order adaptive control law and control the complex system described by fractional calculus like visco-elastic body. In this paper, we improved the transient response of MRACS and modified MRACS to be able to control the plant even though the model matching condition was not satisfied by applying fractional calculus to adaptive transfer function of MRACS, and we constructed the MRACS for the fractional calculus system.

Original languageEnglish
Title of host publicationChinese Control Conference, CCC
PublisherIEEE Computer Society
Pages3095-3099
Number of pages5
ISBN (Print)9789881563835
Publication statusPublished - 2013 Oct 18
Event32nd Chinese Control Conference, CCC 2013 - Xi'an, China
Duration: 2013 Jul 262013 Jul 28

Other

Other32nd Chinese Control Conference, CCC 2013
CountryChina
CityXi'an
Period13/7/2613/7/28

Fingerprint

Fractional Calculus
Adaptive systems
Adaptive Systems
Reference Model
Derivatives
Control systems
Control System
Transient analysis
Derivative
Model Matching
Transfer functions
Large scale systems
Transient Response
Elastic body
Tuning
Fractional Order
Adaptive Control
Transfer Function
Complex Systems
Controllers

Keywords

  • Adaptive control
  • Fractional calculus
  • Fractional order control
  • Model reference control system

ASJC Scopus subject areas

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

Cite this

Takahiro, T., & Ohmori, H. (2013). Design of adaptive systems by using fractional calculus system's approach. In Chinese Control Conference, CCC (pp. 3095-3099). [6639952] IEEE Computer Society.

Design of adaptive systems by using fractional calculus system's approach. / Takahiro, Takamatsu; Ohmori, Hiromitsu.

Chinese Control Conference, CCC. IEEE Computer Society, 2013. p. 3095-3099 6639952.

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

Takahiro, T & Ohmori, H 2013, Design of adaptive systems by using fractional calculus system's approach. in Chinese Control Conference, CCC., 6639952, IEEE Computer Society, pp. 3095-3099, 32nd Chinese Control Conference, CCC 2013, Xi'an, China, 13/7/26.
Takahiro T, Ohmori H. Design of adaptive systems by using fractional calculus system's approach. In Chinese Control Conference, CCC. IEEE Computer Society. 2013. p. 3095-3099. 6639952
Takahiro, Takamatsu ; Ohmori, Hiromitsu. / Design of adaptive systems by using fractional calculus system's approach. Chinese Control Conference, CCC. IEEE Computer Society, 2013. pp. 3095-3099
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