# Robust Kalman filter for descriptor systems

@article{Ishihara2004RobustKF, title={Robust Kalman filter for descriptor systems}, author={Jo{\~a}o Yoshiyuki Ishihara and Marco H. Terra and Jos{\'e} C. T. Campos}, journal={IEEE Transactions on Automatic Control}, year={2004}, volume={51}, pages={1354-1354} }

This note is concerned with the problem of state estimation for descriptor systems subject to uncertainties. A Kalman type recursive algorithm is derived. Numerical examples are included to demonstrate the performance of the proposed robust filter

## 89 Citations

Optimal recursive estimation for discrete-time descriptor systems

- Mathematics, Computer ScienceProceedings of the 2004 American Control Conference
- 2004

The optimal recursive estimation problem for general time-variant descriptor systems is considered in this paper. We show that the filter recursion can be obtained as solution of appropriate data…

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This paper addresses the design of robust one step predictor filter for linear discrete-time systems subject to time-varying and norm bounded uncertainties in every system matrices. The dynamic and…

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In this paper, the Kalman filter and the corresponding Riccati equation for discrete-time, time-variant descriptor systems are addressed in their most general formulation. A new "9-block" form for…

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- Engineering
- 2013

A robust Kalman-type recursive filter has been proposed for descriptor systems subject to linear unstructured additive uncertainties in this paper. It is proved that the linear additive uncertainties…

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- 2008

The singular robust Kalman-type predictor and the corresponding recursive Riccati equation are obtained in their most general formulation where all parameter matrices of the underlying linear model are subject to uncertainties.

Robust Recursive Kalman Filtering for Attitude Estimation

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Abstract This paper proposes a new attitude reference system based on a new robust recursive Kalman filter (RRKF) for determination of a vehicle attitude. The attitude estimate is performed based on…

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- 2008

This paper deals with the estimation of the localization of mobile robots based on robust Kalman filter. The data provided by odometric and sonar sensors are fused together using a robust filter to…

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- Mathematics
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This paper deals with a robust state estimation problem of descriptor systems subject to linear fractional disturbances, and proposes a Kalman type recursive flltering algorithm. It is proved that…

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- Engineering2013 9th Asian Control Conference (ASCC)
- 2013

The motivation of this research is to show that the AOE reformulation imbedded in the recursive ML estimation method serves as a useful mean to yield the dedicated robust filters.

Robust filtering for uncertain linear descriptor systems

- Mathematics2007 European Control Conference (ECC)
- 2007

This paper is concerned with the problem of robust filtering for uncertain linear descriptor systems. The matrices of the system state-space model are uncertain, belonging to a given polytope. A…

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