State-feedback control system using adaptive observer for continuous-time linear fractional calculus system

Takahiro Takamatsu, Hiromitsu Ohmori

Research output: Contribution to conferencePaper

Abstract

Fractional calculus is the operation expanding the order of differential and integral operation from integer to non-integer order. By using fractional calculus, many complicated dynamics like visco-erastic body's behavior or amorphous semiconductor's electric behavior can be described as the simple system containing fractional order derivative (fractional order system). To control fractional order system containing unknown parameters, it is needed to observe plant's state with identifying plant's parameters. In this study, we design the adaptive observer for the fractional order system containing unknown parameters and construct the state-feedback control system.

Original languageEnglish
Pages1859-1864
Number of pages6
Publication statusPublished - 2013 Jan 1
Event2013 52nd Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2013 - Nagoya, Japan
Duration: 2013 Sep 142013 Sep 17

Other

Other2013 52nd Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2013
CountryJapan
CityNagoya
Period13/9/1413/9/17

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Keywords

  • Adaptive and optimal control
  • Fractional calculus
  • Identification and estimation
  • Modeling
  • Non-integer order system
  • System identification and estimation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

Cite this

Takamatsu, T., & Ohmori, H. (2013). State-feedback control system using adaptive observer for continuous-time linear fractional calculus system. 1859-1864. Paper presented at 2013 52nd Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2013, Nagoya, Japan.