A New Approach to State Estimation for Uncertain Linear Systems in a Moving Horizon Estimation Setting

J. Garcia-Tirado, H. Botero and F. Angulo. A New Approach to State Estimation for Uncertain Linear Systems in a Moving Horizon Estimation Setting. International Journal of Automation and Computing, vol. 13, no. 6, pp. 653-664, 2016. doi: 10.1007/s11633-016-1015-1
 Citation: J. Garcia-Tirado, H. Botero and F. Angulo. A New Approach to State Estimation for Uncertain Linear Systems in a Moving Horizon Estimation Setting. International Journal of Automation and Computing, vol. 13, no. 6, pp. 653-664, 2016.
##### doi: 10.1007/s11633-016-1015-1

This work was supported by the European Community s Seventh Framework Programme FP7/2007-2013 223854

## A New Approach to State Estimation for Uncertain Linear Systems in a Moving Horizon Estimation Setting

Funds:

This work was supported by the European Community s Seventh Framework Programme FP7/2007-2013 223854

###### Corresponding author:J. Garcia-Tirado received the B. Sc. degree in control engineering from the National University of Colombia in 2006, and the M. Sc. degree from CINVESTAV at Guadalajara, Mexico in 2009. He got the Ph.D. degree with honors in the School of Processes and Energy at the National University of Colombia in the early 2014. He is currently associate professor in the Department of Quality and Production at the Metropolitan Institute of Technology, Medellin, Colombia. His research interests include robust estimation theory, receding-horizon control and estimation, model-based control, and control of biological processes. E-mail: josegarcia@itm.edu.co ; ORCID iD: 0000-0002-9970-2162
• Figure  1.  Time response of the four filters for state x1 (top) and state x2 (bottom). The initial conditions of the filters are (x0,1 = 0, x0,2 = 0)

Figure  2.  ime response of the four filters for state $x_{1}$ (top) and state $x_2$ (bottom). Zoom from the time step 20 to the time step 30. Initial conditions of the filters are $(x_{0,1} = 0$,$x_{0,2} = 0)$

Figure  3.  Time response of the four filters for state $x_{1}$ (top) and state $x_2$ (bottom). Initial conditions of the filters $(\hat{x}_{0,1} = 10$,$\hat{x}_{0,2} = 20)$

Figure  4.  Time response of the four filters for state $x_{1}$ (top) and state $x_2$ (bottom). Zoom from the time step 20 to the time step 30. Initial conditions of the filters $(x_{0,1} = 10$,$x_{0,2} = 20)$

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##### 出版历程
• 收稿日期:  2014-12-10
• 录用日期:  2016-01-11
• 网络出版日期:  2016-09-02
• 刊出日期:  2016-12-01

## A New Approach to State Estimation for Uncertain Linear Systems in a Moving Horizon Estimation Setting

##### doi: 10.1007/s11633-016-1015-1
基金项目:

This work was supported by the European Community s Seventh Framework Programme FP7/2007-2013 223854

### English Abstract

J. Garcia-Tirado, H. Botero and F. Angulo. A New Approach to State Estimation for Uncertain Linear Systems in a Moving Horizon Estimation Setting. International Journal of Automation and Computing, vol. 13, no. 6, pp. 653-664, 2016. doi: 10.1007/s11633-016-1015-1
 Citation: J. Garcia-Tirado, H. Botero and F. Angulo. A New Approach to State Estimation for Uncertain Linear Systems in a Moving Horizon Estimation Setting. International Journal of Automation and Computing, vol. 13, no. 6, pp. 653-664, 2016.

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