### Abstract

This work presents a general sequential parameter-and-state estimation structure based on extents transformations for non-isothermal homogeneous reaction systems. The extents transformations allow for the development of a Linear Parameter-Varying (LPV) representation with a diagonal state matrix. The particular structure of the LVP system matrices and the physical interpretation of its parameters are used to propose an asymptotic estimator. The main advantage of this estimator is that its implementation does not depend on the chemical kinetic parameters. Based on the information given by the asymptotic estimators, two additional estimators are proposed: an adaptive estimator, and a Recursive Least Squares (RLS) estimator. The first one is used to estimate the chemical reaction rate, while the second to estimate the kinetic parameters. Convergence and tuning properties of the final structure are analyzed and tested on a CSTR example.

Language | English |
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Title of host publication | Proceedings of the 13th International Symposium on Process System Engineering |

Editors | Mario R. Eden, Marianthi G. Ierapetritou, Gavin P. Towler |

Publisher | Elsevier |

Pages | 583-588 |

Number of pages | 6 |

DOIs | |

State | Published - Jul 2018 |

Event | 13th International Symposium on Process Systems Engineering (PSE 2018) - Manchester Grand Hyatt, San Diego, United States Duration: 1 Jul 2018 → 5 Jul 2018 |

### Publication series

Name | Computer Aided Chemical Engineering |
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Volume | 44 |

ISSN (Print) | 1570-7946 |

### Conference

Conference | 13th International Symposium on Process Systems Engineering (PSE 2018) |
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Abbreviated title | PSE 2018 |

Country | United States |

City | San Diego |

Period | 1/07/18 → 5/07/18 |

### Fingerprint

### Keywords

- Extents transformations
- Linear Parameter Varying (LPV) Systems
- Non-isothermal Homogeneous Reaction Systems
- State and parameter estimation

### Cite this

*Proceedings of the 13th International Symposium on Process System Engineering*(pp. 583-588). [248] (Computer Aided Chemical Engineering; Vol. 44). Elsevier. DOI: 10.1016/B978-0-444-64241-7.50092-6

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*Proceedings of the 13th International Symposium on Process System Engineering.*, 248, Computer Aided Chemical Engineering, vol. 44, Elsevier, pp. 583-588, 13th International Symposium on Process Systems Engineering (PSE 2018), San Diego, United States, 1/07/18. DOI: 10.1016/B978-0-444-64241-7.50092-6

**State and parameter estimation based on extent transformations.** / Marquez Ruiz, A.; Mendez Blanco, C.S.; Porru, M.; Ozkan, L.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

TY - CHAP

T1 - State and parameter estimation based on extent transformations

AU - Marquez Ruiz,A.

AU - Mendez Blanco,C.S.

AU - Porru,M.

AU - Ozkan,L.

PY - 2018/7

Y1 - 2018/7

N2 - This work presents a general sequential parameter-and-state estimation structure based on extents transformations for non-isothermal homogeneous reaction systems. The extents transformations allow for the development of a Linear Parameter-Varying (LPV) representation with a diagonal state matrix. The particular structure of the LVP system matrices and the physical interpretation of its parameters are used to propose an asymptotic estimator. The main advantage of this estimator is that its implementation does not depend on the chemical kinetic parameters. Based on the information given by the asymptotic estimators, two additional estimators are proposed: an adaptive estimator, and a Recursive Least Squares (RLS) estimator. The first one is used to estimate the chemical reaction rate, while the second to estimate the kinetic parameters. Convergence and tuning properties of the final structure are analyzed and tested on a CSTR example.

AB - This work presents a general sequential parameter-and-state estimation structure based on extents transformations for non-isothermal homogeneous reaction systems. The extents transformations allow for the development of a Linear Parameter-Varying (LPV) representation with a diagonal state matrix. The particular structure of the LVP system matrices and the physical interpretation of its parameters are used to propose an asymptotic estimator. The main advantage of this estimator is that its implementation does not depend on the chemical kinetic parameters. Based on the information given by the asymptotic estimators, two additional estimators are proposed: an adaptive estimator, and a Recursive Least Squares (RLS) estimator. The first one is used to estimate the chemical reaction rate, while the second to estimate the kinetic parameters. Convergence and tuning properties of the final structure are analyzed and tested on a CSTR example.

KW - Extents transformations

KW - Linear Parameter Varying (LPV) Systems

KW - Non-isothermal Homogeneous Reaction Systems

KW - State and parameter estimation

UR - http://www.scopus.com/inward/record.url?scp=85050582434&partnerID=8YFLogxK

U2 - 10.1016/B978-0-444-64241-7.50092-6

DO - 10.1016/B978-0-444-64241-7.50092-6

M3 - Chapter

T3 - Computer Aided Chemical Engineering

SP - 583

EP - 588

BT - Proceedings of the 13th International Symposium on Process System Engineering

PB - Elsevier

ER -