Design of MRACS containing adaptive law using fractional calculus and its lyapnov stability

Takahiro Takamatsu, Hiromitsu Ohmori

Research output: Contribution to journalArticle


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
Pages (from-to)1228-1234
Number of pages7
JournalIEEJ Transactions on Electronics, Information and Systems
Issue number9
Publication statusPublished - 2014



  • Adaptive control
  • Fractional calculus
  • Lyapnov stability
  • Non-integer order calculus

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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