Abstract
In contrast to Chap. 5 where the blind SIMO system identification problem is investigated, this chapter is devoted to the identification of MIMO systems. Compared with the blind identification of the SIMO system (or a polynomial vector), the blind identification of an MIMO system (or a polynomial matrix) turns out to be more challenging. In this chapter, the blind identification of MIMO FIR systems will be studied in detail, which can be considered to be an extension of the blind SIMO system identification. In addition, the blind identification of a multivariable state-space model will be investigated, which can be regarded as the extension from the FIR systems to autoregressive systems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chou, C. T., & Verhaegen, M. (1997). Subspace algorithms for the identification of multivariable dynamic errors-in-variables models. Automatica, 33(10), 1857–1869.
Forney, Jr., & David, G. (2006). Minimal bases of rational vector spaces, with applications to multivariable linear systems. Siam Journal on Control, 13(3), 493–520.
Gorokhov, A., & Loubaton, P. (1997). Subspace-based techniques for blind separation of convolutive mixtures with temporally correlated sources. IEEE Transactions on Circuits and Systems 44(9), 813–820.
Kailath, T. (1980). Linear systems (Vol. 156). Englewood Cliffs, NJ: Prentice-Hall.
Kung, S., Kailath, T., & Morf, M. (1976). A generalized resultant matrix for polynomial matrices. In IEEE Conference on Decision and Control.
Lennart, L. (1999). System identification: Theory for the user.
Verhaegen, M., & Verdult, V. (2007). Filtering and system identification: A least squares approach. Cambridge University Press.
Yu, C., & Verhaegen, M. (2016). Blind multivariable ARMA subspace identification. Automatica, 66, 3–14.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2022 Science Press
About this chapter
Cite this chapter
Yu, C., Xie, L., Verhaegen, M., Chen, J. (2022). Blind Identification of MIMO Systems. In: Blind Identification of Structured Dynamic Systems. Springer, Singapore. https://doi.org/10.1007/978-981-16-7574-4_8
Download citation
DOI: https://doi.org/10.1007/978-981-16-7574-4_8
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-16-7573-7
Online ISBN: 978-981-16-7574-4
eBook Packages: Intelligent Technologies and Robotics