## Abstract

In this paper we consider an application of set-membership concepts to the parameter estimation problem for weakly nonlinear models. We develop a recursive algorithm that, given input-output data, a bound on the measurement noise and a local bound on the Hessian of the nonlinear model with respect to the unknown parameters, produces a consistent ellipsoid containing the `actual' model parameters. To illustrate the use of this algorithm, we consider the process of oxidation of silicon in dry oxygen where the oxidation time is determined by means of a simple adaptive controller. In an effort to reduce the parametric uncertainty, we employ an auxiliary set-membership estimator to update the set of parameter constraints on-line and, thus, avoid unnecessary drifts of the adaptive controller parameters.

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

Publisher | IEEE |

Pages | 1066-1071 |

Number of pages | 6 |

Volume | 2 |

State | Published - 1994 |

Event | Proceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4) - Lake Buena Vista, FL, USA Duration: Dec 14 1994 → Dec 16 1994 |

### Other

Other | Proceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4) |
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City | Lake Buena Vista, FL, USA |

Period | 12/14/94 → 12/16/94 |

## ASJC Scopus subject areas

- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality