### Abstract

This paper presents the PI/PID control of a binary distillation column via a genetic searching algorithm (GSA). The time-domain design criterion, expressed as an integral of the squared error, is reformulated in the frequency-domain using the Parseval's relation and Padé approximation. A genetic algorithm is then used to search over the stability region in the controller parameter space for the best settings to minimize the design criterion. Our results indicate that the genetic algorithm can provide better solutions for the PI/PID control schemes as compared to those using the single-loop and multi-loop Ziegler-Nichols tuning methods. We also found that the GSA is easier to use than traditional optmization techniques. In addition, no knowledge of complex mathematics is required to use the GSA effectively.

Original language | English (US) |
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Pages (from-to) | 720-726 |

Number of pages | 7 |

Journal | WSEAS Transactions on Systems |

Volume | 5 |

Issue number | 4 |

State | Published - Apr 1 2006 |

Externally published | Yes |

### Keywords

- Genetic algorithm
- Optimization
- PID control
- Padé approximation
- Parameter space
- Parseval theorem
- Ziegler-Nichols tuning