### Abstract

In this paper, the observation problem for the descriptor systems with disturbances is studied. It is assumed that the disturbances and their first order derivatives are bounded, where the upper and lower bounds are unknown. First, the formulated descriptor system is decomposed into a dynamical system and an algebraic equation. The dynamical system is the relation among a part of the descriptor state, the input-output and the disturbance. The algebraic equation is the relation between the descriptor state variable and the disturbance. Second, the disturbances and one part of the descriptor state are estimated based on the obtained dynamical system. Finally, the other part of the descriptor state is estimated based on the obtained algebraic equation. Examples are presented to illustrate the proposed method.

Original language | English |
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Pages (from-to) | 121-139 |

Number of pages | 19 |

Journal | Nonlinear Dynamics and Systems Theory |

Volume | 7 |

Issue number | 2 |

Publication status | Published - 2007 Jun |

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### Keywords

- Descriptor system
- Disturbance observer
- State observer

### ASJC Scopus subject areas

- Applied Mathematics
- Mathematical Physics

### Cite this

**Observation for the descriptor systems with disturbances.** / Chen, Xinkai; Zhai, Guisheng.

Research output: Contribution to journal › Article

*Nonlinear Dynamics and Systems Theory*, vol. 7, no. 2, pp. 121-139.

}

TY - JOUR

T1 - Observation for the descriptor systems with disturbances

AU - Chen, Xinkai

AU - Zhai, Guisheng

PY - 2007/6

Y1 - 2007/6

N2 - In this paper, the observation problem for the descriptor systems with disturbances is studied. It is assumed that the disturbances and their first order derivatives are bounded, where the upper and lower bounds are unknown. First, the formulated descriptor system is decomposed into a dynamical system and an algebraic equation. The dynamical system is the relation among a part of the descriptor state, the input-output and the disturbance. The algebraic equation is the relation between the descriptor state variable and the disturbance. Second, the disturbances and one part of the descriptor state are estimated based on the obtained dynamical system. Finally, the other part of the descriptor state is estimated based on the obtained algebraic equation. Examples are presented to illustrate the proposed method.

AB - In this paper, the observation problem for the descriptor systems with disturbances is studied. It is assumed that the disturbances and their first order derivatives are bounded, where the upper and lower bounds are unknown. First, the formulated descriptor system is decomposed into a dynamical system and an algebraic equation. The dynamical system is the relation among a part of the descriptor state, the input-output and the disturbance. The algebraic equation is the relation between the descriptor state variable and the disturbance. Second, the disturbances and one part of the descriptor state are estimated based on the obtained dynamical system. Finally, the other part of the descriptor state is estimated based on the obtained algebraic equation. Examples are presented to illustrate the proposed method.

KW - Descriptor system

KW - Disturbance observer

KW - State observer

UR - http://www.scopus.com/inward/record.url?scp=77956914624&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77956914624&partnerID=8YFLogxK

M3 - Article

VL - 7

SP - 121

EP - 139

JO - Nonlinear Dynamics and Systems Theory

JF - Nonlinear Dynamics and Systems Theory

SN - 1562-8353

IS - 2

ER -