### Abstract

This paper considers the problem of estimating the state of an MIMO linear system with unknown inputs in the state and output. Through a series of linear transformations in the state and output equations, the original system can be transformed into a descriptor system form. The proposed proportional derivative observer can accurately estimate the system state and avoid the peaking phenomenon. Moreover, the approach developed in this paper does not require the derivatives of the output and can be applied in the system with unstable zeros (with respect to the relation between the output and the unknown input). Finally, our algorithm can prove the valid feasibility and the property of disturbance attenuation through demonstrating a simulation-base example.

Original language | English |
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Title of host publication | Proceedings of SICE Annual Conference 2010, SICE 2010 - Final Program and Papers |

Publisher | Society of Instrument and Control Engineers (SICE) |

Pages | 2207-2213 |

Number of pages | 7 |

ISBN (Print) | 9784907764364 |

State | Published - 1 Jan 2010 |

### Publication series

Name | Proceedings of the SICE Annual Conference |
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### Keywords

- Descriptor system
- State estimation
- Unknown input observer

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## Cite this

*Proceedings of SICE Annual Conference 2010, SICE 2010 - Final Program and Papers*(pp. 2207-2213). [5603210] (Proceedings of the SICE Annual Conference). Society of Instrument and Control Engineers (SICE).