Abstract
Original language | English |
---|---|
Pages (from-to) | 410-421 |
Journal | International Journal of Control |
Volume | 87 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2014 |
Fingerprint
Bibliographical note
This is an electronic version of an article published in the International Journal of Control, 87 (2), pp. 410-421. The International Journal of Control is available online at: http://www.tandfonline.com/doi/abs/10.1080/00207179.2013.838700Keywords
- filtering
- parity equations
- unknown input reconstruction
Cite this
Parity equations-based unknown input reconstruction for MIMO stochastic systems with an application. / Sumislawska, Malgorzata; Larkowski, Tomasz; Burnham, Keith.
In: International Journal of Control, Vol. 87, No. 2, 2014, p. 410-421.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Parity equations-based unknown input reconstruction for MIMO stochastic systems with an application
AU - Sumislawska, Malgorzata
AU - Larkowski, Tomasz
AU - Burnham, Keith
N1 - This is an electronic version of an article published in the International Journal of Control, 87 (2), pp. 410-421. The International Journal of Control is available online at: http://www.tandfonline.com/doi/abs/10.1080/00207179.2013.838700
PY - 2014
Y1 - 2014
N2 - In this paper an approach for reconstructing an unknown input for multiple-input multiple-output systems is presented. It is assumed that the system is affected by process noise, whereas the available system inputs are contaminated by measurement noise. The novel approach is based on a parity equations concept and forms an extension of the idea developed previously by the authors. A modification of the algorithm is also provided, which allows the approach to deal with systems whose zero is close to unity. The order of the parity space can be treated as a tuning parameter allowing for a trade-off between the smoothness of the reconstructed unknown input and a phase lag. An analytical solution of the overall problem is obtained by making use of a Lagrange multiplier method. The utility of the scheme is demonstrated when applied to a practical hydrological system.
AB - In this paper an approach for reconstructing an unknown input for multiple-input multiple-output systems is presented. It is assumed that the system is affected by process noise, whereas the available system inputs are contaminated by measurement noise. The novel approach is based on a parity equations concept and forms an extension of the idea developed previously by the authors. A modification of the algorithm is also provided, which allows the approach to deal with systems whose zero is close to unity. The order of the parity space can be treated as a tuning parameter allowing for a trade-off between the smoothness of the reconstructed unknown input and a phase lag. An analytical solution of the overall problem is obtained by making use of a Lagrange multiplier method. The utility of the scheme is demonstrated when applied to a practical hydrological system.
KW - filtering
KW - parity equations
KW - unknown input reconstruction
U2 - 10.1080/00207179.2013.838700
DO - 10.1080/00207179.2013.838700
M3 - Article
VL - 87
SP - 410
EP - 421
JO - International Journal of Control
JF - International Journal of Control
SN - 0020-7179
IS - 2
ER -