Adaptive control design for linear time-varying system based on internal model principle

Koichi Hidaka, Hiromitsu Ohmori, Akira Sano

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, we propose a new adaptive control system design using internal model principle (IMP) for a bounded polynomial parameters. In this method, we regard time varying parameters as variable disturbance and design an estimating law used the internal model of the disturbance so that the law is able to rejected the effectness of the disturbance. Our method has the features that the tracking error can converge to zero. Furthermore, we give a sufficient condition for the stability based on a small-gain theorem. The condition shows that our proposed method relax the stability condition more than the conventional methods based on a passivity theorem. Finally, we contain a numerical simulation to show an effect of our system.

Original languageEnglish
Pages (from-to)1047-1054
Number of pages8
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE82-A
Issue number6
Publication statusPublished - 1999

Fingerprint

Linear Time-varying Systems
Adaptive Design
Time varying systems
Control Design
Adaptive Control
Internal
Adaptive control systems
Disturbance
Systems analysis
Polynomials
Small Gain Theorem
Time-varying Parameters
Passivity
Control System Design
Computer simulation
Adaptive Systems
Stability Condition
Model
Converge
Numerical Simulation

Keywords

  • Adaptive control
  • Internal model principle
  • Linear time varying system
  • Small-gain theorem

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Hardware and Architecture
  • Information Systems

Cite this

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AU - Hidaka, Koichi

AU - Ohmori, Hiromitsu

AU - Sano, Akira

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N2 - In this paper, we propose a new adaptive control system design using internal model principle (IMP) for a bounded polynomial parameters. In this method, we regard time varying parameters as variable disturbance and design an estimating law used the internal model of the disturbance so that the law is able to rejected the effectness of the disturbance. Our method has the features that the tracking error can converge to zero. Furthermore, we give a sufficient condition for the stability based on a small-gain theorem. The condition shows that our proposed method relax the stability condition more than the conventional methods based on a passivity theorem. Finally, we contain a numerical simulation to show an effect of our system.

AB - In this paper, we propose a new adaptive control system design using internal model principle (IMP) for a bounded polynomial parameters. In this method, we regard time varying parameters as variable disturbance and design an estimating law used the internal model of the disturbance so that the law is able to rejected the effectness of the disturbance. Our method has the features that the tracking error can converge to zero. Furthermore, we give a sufficient condition for the stability based on a small-gain theorem. The condition shows that our proposed method relax the stability condition more than the conventional methods based on a passivity theorem. Finally, we contain a numerical simulation to show an effect of our system.

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KW - Internal model principle

KW - Linear time varying system

KW - Small-gain theorem

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