### Abstract

Fractional calculus is the operation expanding the order of differential and integral operation from integer to non-integer order. By using fractional calculus, many complicated dynamics like visco-erastic body's behavior or amorphous semiconductor's electric behavior can be described as the simple system containing fractional order derivative (fractional order system). To control fractional order system containing unknown parameters, it is needed to observe plant's state with identifying plant's parameters. In this study, we design the adaptive observer for the fractional order system containing unknown parameters and construct the state-feedback control system.

Original language | English |
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Title of host publication | Proceedings of the SICE Annual Conference |

Pages | 1859-1864 |

Number of pages | 6 |

Publication status | Published - 2013 |

Event | 2013 52nd Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2013 - Nagoya, Japan Duration: 2013 Sep 14 → 2013 Sep 17 |

### Other

Other | 2013 52nd Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2013 |
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Country | Japan |

City | Nagoya |

Period | 13/9/14 → 13/9/17 |

### Fingerprint

### Keywords

- Adaptive and optimal control
- Fractional calculus
- Identification and estimation
- Modeling
- Non-integer order system
- System identification and estimation

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Control and Systems Engineering
- Computer Science Applications

### Cite this

*Proceedings of the SICE Annual Conference*(pp. 1859-1864)

**State-feedback control system using adaptive observer for continuous-time linear fractional calculus system.** / Takamatsu, Takahiro; Ohmori, Hiromitsu.

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

*Proceedings of the SICE Annual Conference.*pp. 1859-1864, 2013 52nd Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2013, Nagoya, Japan, 13/9/14.

}

TY - GEN

T1 - State-feedback control system using adaptive observer for continuous-time linear fractional calculus system

AU - Takamatsu, Takahiro

AU - Ohmori, Hiromitsu

PY - 2013

Y1 - 2013

N2 - Fractional calculus is the operation expanding the order of differential and integral operation from integer to non-integer order. By using fractional calculus, many complicated dynamics like visco-erastic body's behavior or amorphous semiconductor's electric behavior can be described as the simple system containing fractional order derivative (fractional order system). To control fractional order system containing unknown parameters, it is needed to observe plant's state with identifying plant's parameters. In this study, we design the adaptive observer for the fractional order system containing unknown parameters and construct the state-feedback control system.

AB - Fractional calculus is the operation expanding the order of differential and integral operation from integer to non-integer order. By using fractional calculus, many complicated dynamics like visco-erastic body's behavior or amorphous semiconductor's electric behavior can be described as the simple system containing fractional order derivative (fractional order system). To control fractional order system containing unknown parameters, it is needed to observe plant's state with identifying plant's parameters. In this study, we design the adaptive observer for the fractional order system containing unknown parameters and construct the state-feedback control system.

KW - Adaptive and optimal control

KW - Fractional calculus

KW - Identification and estimation

KW - Modeling

KW - Non-integer order system

KW - System identification and estimation

UR - http://www.scopus.com/inward/record.url?scp=84888603250&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84888603250&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84888603250

SP - 1859

EP - 1864

BT - Proceedings of the SICE Annual Conference

ER -