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

Takamatsu Takahiro, Ohmori Hiromitsu

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

3 Citations (Scopus)


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 publicationProceedings of the 32nd Chinese Control Conference, CCC 2013
PublisherIEEE Computer Society
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

Publication series

NameChinese Control Conference, CCC
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927


Other32nd Chinese Control Conference, CCC 2013


  • 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


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