Quasi-linear adaptive control theory for nonlinear systems

Takayuki Furuzuki, Kotaro Hirasawa, Kousuke Kumamaru

Research output: Contribution to journalArticle

Abstract

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
Volume3
Issue number1
Publication statusPublished - 1998 Mar
Externally publishedYes

Fingerprint

Control theory
Nonlinear systems
Mathematical operators
Polynomials
Controllers
Computer simulation

Keywords

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

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Hardware and Architecture
  • Engineering (miscellaneous)

Cite this

Quasi-linear adaptive control theory for nonlinear systems. / Furuzuki, Takayuki; Hirasawa, Kotaro; Kumamaru, Kousuke.

In: Research Reports on Information Science and Electrical Engineering of Kyushu University, Vol. 3, No. 1, 03.1998, p. 7-12.

Research output: Contribution to journalArticle

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