## Abstract

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.

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 |

## Keywords

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