## Abstract

The output regulation design of two bioreactor systems in the presence of self-oscillating behavior and inlet disturbances is addressed. By virtue of linearization, transformation, tuning parametrization, and some geometric control techniques, explicit formulations of nonlinear proportional-integral (PI) and proportional-integral-derivative (PID) controllers are obtained. For the prescribed second-order nonlinear system, the model-based PI controller connected to a linear transformation-based observer is developed. For the general class of third-order nonlinear systems, a PID-type feed-forward/feed- back controller that is connected to parametrized tracking modes is constructed. Using the numerical approximation for the reconstruction of equilibrium manifold, the simplified model-based PID control can be easily implemented. Finally, closed-loop simulations show the satisfactory output regulation performances.

Original language | English |
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Pages (from-to) | 4282-4288 |

Number of pages | 7 |

Journal | Industrial and Engineering Chemistry Research |

Volume | 46 |

Issue number | 12 |

DOIs | |

Publication status | Published - 2007 Jun 6 |

## All Science Journal Classification (ASJC) codes

- Chemistry(all)
- Chemical Engineering(all)
- Industrial and Manufacturing Engineering