### Abstract

This letter addresses the problem of constructing (if it exists) an observer with a constrained order that decouples the output estimation errors from the disturbances that are acting on the system. In addition, stability of the output estimate, a characterization of the orders for which the observer can achieve disturbance decoupled estimation and the explicit construction of the observer are discussed.

Original language | English |
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Pages (from-to) | 49-54 |

Number of pages | 6 |

Journal | IEEE Control Systems Letters |

Volume | 3 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 2019 |

### Fingerprint

### Keywords

- Computational modeling
- Control design
- Estimation error
- Numerical models
- Observers
- Optimal control
- Model/controller reduction
- algebraic/geometric methods
- estimation
- observers for linear systems

### Cite this

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**Constrained order observer design for disturbance decoupled output estimation.** / Merks, R.W.H. (Corresponding author); Kivits, E.M.M.; Weiland, S.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - Constrained order observer design for disturbance decoupled output estimation

AU - Merks, R.W.H.

AU - Kivits, E.M.M.

AU - Weiland, S.

PY - 2019/1

Y1 - 2019/1

N2 - From industry there is an increasing interest in applying model based control techniques to large-scale systems. Control designs like H2 and H∞ optimal control will typically contain a dynamic state observer in which the order will be equal to the model order. Consequently, real-time implementation of the controller may not be possible due to computational constraints. The problem of designing a constrained order observer for a large-scale system, with explicit guarantees on the output estimate is therefore a relevant problem in these applications. This letter addresses the problem of constructing (if it exists) an observer with a constrained order that decouples the output estimation errors from the disturbances that are acting on the system. In addition, stability of the output estimate, a characterization of the orders for which the observer can achieve disturbance decoupled estimation and the explicit construction of the observer are discussed.

AB - From industry there is an increasing interest in applying model based control techniques to large-scale systems. Control designs like H2 and H∞ optimal control will typically contain a dynamic state observer in which the order will be equal to the model order. Consequently, real-time implementation of the controller may not be possible due to computational constraints. The problem of designing a constrained order observer for a large-scale system, with explicit guarantees on the output estimate is therefore a relevant problem in these applications. This letter addresses the problem of constructing (if it exists) an observer with a constrained order that decouples the output estimation errors from the disturbances that are acting on the system. In addition, stability of the output estimate, a characterization of the orders for which the observer can achieve disturbance decoupled estimation and the explicit construction of the observer are discussed.

KW - Computational modeling

KW - Control design

KW - Estimation error

KW - Numerical models

KW - Observers

KW - Optimal control

KW - Model/controller reduction

KW - algebraic/geometric methods

KW - estimation

KW - observers for linear systems

UR - http://www.scopus.com/inward/record.url?scp=85057637903&partnerID=8YFLogxK

U2 - 10.1109/LCSYS.2018.2851539

DO - 10.1109/LCSYS.2018.2851539

M3 - Article

VL - 3

SP - 49

EP - 54

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

SN - 2475-1456

IS - 1

ER -