### Abstract

The technique of calculus of variation is exploited to derive an optimal feedrate control law by minimizing a performance index which is a measure of machining speed and control efforts. The proposed optimal feedrate control law allows feedrate magnitude and feedrate direction to be adjusted simultaneously, resulting in an improved command of contour geometry. The proposed optimal feedrate control law has three promising properties : (i) the preview action of reshaping the original contour geometry according to the inconsistency between the individual axis dynamics, (ii) the cross-coupled effect of treating the biaxial system as a whole unit, and (iii) the adjustable feedrate tuning in an optimal manner such that a performance index which is a measure of machining speed and control efforts is minimized.

Original language | English |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Editors | Anon |

Publisher | Publ by IEEE |

Pages | 2517-2521 |

Number of pages | 5 |

ISBN (Print) | 0780312988 |

Publication status | Published - 1993 Dec 1 |

Event | Proceedings of the 32nd IEEE Conference on Decision and Control. Part 3 (of 4) - San Antonio, TX, USA Duration: 1993 Dec 15 → 1993 Dec 17 |

### Publication series

Name | Proceedings of the IEEE Conference on Decision and Control |
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Volume | 3 |

ISSN (Print) | 0191-2216 |

### Other

Other | Proceedings of the 32nd IEEE Conference on Decision and Control. Part 3 (of 4) |
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City | San Antonio, TX, USA |

Period | 93-12-15 → 93-12-17 |

### All Science Journal Classification (ASJC) codes

- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization

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## Cite this

*Proceedings of the IEEE Conference on Decision and Control*(pp. 2517-2521). (Proceedings of the IEEE Conference on Decision and Control; Vol. 3). Publ by IEEE.