### 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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Pages | 1859-1864 |

Number of pages | 6 |

Publication status | Published - 2013 Jan 1 |

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 |

### Keywords

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

### ASJC Scopus subject areas

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

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## Cite this

*State-feedback control system using adaptive observer for continuous-time linear fractional calculus system*. 1859-1864. Paper presented at 2013 52nd Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2013, Nagoya, Japan.