### 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 |
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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 |
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ISSN (Print) | 1934-1768 |

ISSN (Electronic) | 2161-2927 |

### Other

Other | 32nd Chinese Control Conference, CCC 2013 |
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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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## Cite this

*Proceedings of the 32nd Chinese Control Conference, CCC 2013*(pp. 3095-3099). [6639952] (Chinese Control Conference, CCC). IEEE Computer Society.