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

Takahiro Takamatsu; Hiromitsu Ohmori

doi:10.1541/ieejeiss.134.1228

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

Takahiro Takamatsu, Hiromitsu Ohmori

Department of System Design Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	1228-1234
Number of pages	7
Journal	IEEJ Transactions on Electronics, Information and Systems
Volume	134
Issue number	9
DOIs	https://doi.org/10.1541/ieejeiss.134.1228
Publication status	Published - 2014

Keywords

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

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1541/ieejeiss.134.1228

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abstract = "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.",

keywords = "Adaptive control, Fractional calculus, Lyapnov stability, MRACS, Non-integer order calculus",

author = "Takahiro Takamatsu and Hiromitsu Ohmori",

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AU - Ohmori, Hiromitsu

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AB - 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.

KW - Adaptive control

KW - Fractional calculus

KW - Lyapnov stability

KW - MRACS

KW - Non-integer order calculus

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

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Keywords

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