Quasi-linear adaptive control theory for nonlinear systems

Jinglu Hu, Kotaro Hirasawa, Kousuke Kumamaru

Research output: Contribution to journalArticlepeer-review


This paper presents a linear-like adaptive control theory for nonlinear systems. The system to be controlled is first described by a so called quasi-ARMAX model which is a linear-like nonlinear model. The quasi-ARMAX model is distinctive to other models in that its polynomials in backward shift operator (filters) are time-varying, but they can be treated as commutable ones simultaneously. By using this special property of filters effectively, we then develop an adaptive control scheme in a similar way to linear control theory, in which a group of adaptive fuzzy mod-els are used to re-parameterize the unknown coefficients of controller. The effectiveness of the proposed scheme is confirmed through numerical simulations.

Original languageEnglish
Pages (from-to)7-12
Number of pages6
JournalResearch Reports on Information Science and Electrical Engineering of Kyushu University
Issue number1
Publication statusPublished - 1998 Mar 1
Externally publishedYes


  • ARMAX model
  • Adaptive control
  • Fuzzy models
  • Linear control theory
  • Nonlinear control
  • Nonlinear systems

ASJC Scopus subject areas

  • Computer Science(all)
  • Electrical and Electronic Engineering


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