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 | Chinese Control Conference, CCC |
| 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 |
Other
| Other | 32nd Chinese Control Conference, CCC 2013 |
|---|---|
| Country | China |
| City | Xi'an |
| Period | 13/7/26 → 13/7/28 |
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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
Cite this
Design of adaptive systems by using fractional calculus system's approach. / Takahiro, Takamatsu; Ohmori, Hiromitsu.
Chinese Control Conference, CCC. IEEE Computer Society, 2013. p. 3095-3099 6639952.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Design of adaptive systems by using fractional calculus system's approach
AU - Takahiro, Takamatsu
AU - Ohmori, Hiromitsu
PY - 2013/10/18
Y1 - 2013/10/18
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
UR - http://www.scopus.com/inward/record.url?scp=84890934277&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84890934277&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84890934277
SN - 9789881563835
SP - 3095
EP - 3099
BT - Chinese Control Conference, CCC
PB - IEEE Computer Society
ER -