Design of adaptive systems by using fractional calculus system's approach

Takamatsu Takahiro; Ohmori Hiromitsu

Design of adaptive systems by using fractional calculus system's approach

Takamatsu Takahiro, Ohmori Hiromitsu

Department of System Design Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Citations (Scopus)

Abstract

The Model Reference Control System (MRACS) is the control system tuning its controller to match the controlled system to the reference model designed in the system adaptively. Conventional MRACS assumed the order of integration or derivative as integer order. By introducing fractional order integration or derivative (Fractional Calculus,) MRACS can use the arbitrary order adaptive control law and control the complex system described by fractional calculus like visco-elastic body. In this paper, we improved the transient response of MRACS and modified MRACS to be able to control the plant even though the model matching condition was not satisfied by applying fractional calculus to adaptive transfer function of MRACS, and we constructed the MRACS for the fractional calculus system.

Original language	English
Title of host publication	Proceedings of the 32nd Chinese Control Conference, CCC 2013
Publisher	IEEE Computer Society
Pages	3095-3099
Number of pages	5
ISBN (Print)	9789881563835
Publication status	Published - 2013 Oct 18
Event	32nd Chinese Control Conference, CCC 2013 - Xi'an, China Duration: 2013 Jul 26 → 2013 Jul 28

Publication series

Name	Chinese Control Conference, CCC
ISSN (Print)	1934-1768
ISSN (Electronic)	2161-2927

Other

Other	32nd Chinese Control Conference, CCC 2013
Country	China
City	Xi'an
Period	13/7/26 → 13/7/28

Keywords

Adaptive control
Fractional calculus
Fractional order control
Model reference control system

ASJC Scopus subject areas

Computer Science Applications
Control and Systems Engineering
Applied Mathematics
Modelling and Simulation

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title = "Design of adaptive systems by using fractional calculus system's approach",

abstract = "The Model Reference Control System (MRACS) is the control system tuning its controller to match the controlled system to the reference model designed in the system adaptively. Conventional MRACS assumed the order of integration or derivative as integer order. By introducing fractional order integration or derivative (Fractional Calculus,) MRACS can use the arbitrary order adaptive control law and control the complex system described by fractional calculus like visco-elastic body. In this paper, we improved the transient response of MRACS and modified MRACS to be able to control the plant even though the model matching condition was not satisfied by applying fractional calculus to adaptive transfer function of MRACS, and we constructed the MRACS for the fractional calculus system.",

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author = "Takamatsu Takahiro and Ohmori Hiromitsu",

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language = "English",

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series = "Chinese Control Conference, CCC",

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AU - Takahiro, Takamatsu

AU - Hiromitsu, Ohmori

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N2 - The Model Reference Control System (MRACS) is the control system tuning its controller to match the controlled system to the reference model designed in the system adaptively. Conventional MRACS assumed the order of integration or derivative as integer order. By introducing fractional order integration or derivative (Fractional Calculus,) MRACS can use the arbitrary order adaptive control law and control the complex system described by fractional calculus like visco-elastic body. In this paper, we improved the transient response of MRACS and modified MRACS to be able to control the plant even though the model matching condition was not satisfied by applying fractional calculus to adaptive transfer function of MRACS, and we constructed the MRACS for the fractional calculus system.

AB - The Model Reference Control System (MRACS) is the control system tuning its controller to match the controlled system to the reference model designed in the system adaptively. Conventional MRACS assumed the order of integration or derivative as integer order. By introducing fractional order integration or derivative (Fractional Calculus,) MRACS can use the arbitrary order adaptive control law and control the complex system described by fractional calculus like visco-elastic body. In this paper, we improved the transient response of MRACS and modified MRACS to be able to control the plant even though the model matching condition was not satisfied by applying fractional calculus to adaptive transfer function of MRACS, and we constructed the MRACS for the fractional calculus system.

KW - Adaptive control

KW - Fractional calculus

KW - Fractional order control

KW - Model reference control system

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