### 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 |

### Fingerprint

### 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

*Chinese Control Conference, CCC*(pp. 3095-3099). [6639952] IEEE Computer Society.

**Design of adaptive systems by using fractional calculus system's approach.** / Takahiro, Takamatsu; Ohmori, Hiromitsu.

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

*Chinese Control Conference, CCC.*, 6639952, IEEE Computer Society, pp. 3095-3099, 32nd Chinese Control Conference, CCC 2013, Xi'an, China, 13/7/26.

}

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 -