### Abstract

We propose a novel integration method to solve the scheduling problem and the closed-loop PI control problem simultaneously. The integrated problem is formulated as a mixed-integer dynamic optimization (MIDO) problem. Solution of the MIDO problem is challenging, especially in a short time period required for online implementation. We develop a fast computational strategy to solve the integrated problem, ensuring its online applications. First, we decompose all dynamic models from the integrated problem by computing the optimal-value function of the transition cost dependent on the transition time. The optimal-value function is then discretized by optimizing a set of controller candidates offline. The optimal controller candidate generates the minimum transition cost for a given transition time. Finally, the integrated problem is transformed into a scheduling problem with controller selection. This is a mixed-integer fractional programming problem. We propose a global optimization method based on the Dinkelbach's algorithm to solve the resulting large-scale problem efficiently. The advantage of the proposed method is demonstrated by a mehyl methacrylate polymer manufacturing process.

Original language | English (US) |
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Title of host publication | 2013 American Control Conference, ACC 2013 |

Pages | 334-339 |

Number of pages | 6 |

State | Published - Sep 11 2013 |

Event | 2013 1st American Control Conference, ACC 2013 - Washington, DC, United States Duration: Jun 17 2013 → Jun 19 2013 |

### Publication series

Name | Proceedings of the American Control Conference |
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ISSN (Print) | 0743-1619 |

### Other

Other | 2013 1st American Control Conference, ACC 2013 |
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Country | United States |

City | Washington, DC |

Period | 6/17/13 → 6/19/13 |

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

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## Cite this

*2013 American Control Conference, ACC 2013*(pp. 334-339). [6579859] (Proceedings of the American Control Conference).