A Method for Identifying Physical Parameters with Linear Fractional Transformation
This paper proposes a new parameter identification
method based on Linear Fractional Transformation (LFT). It is
assumed that the target linear system includes unknown parameters.
The parameter deviations are separated from a nominal system via
LFT, and identified by organizing I/O signals around the separated
deviations of the real system. The purpose of this paper is to apply LFT
to simultaneously identify the parameter deviations in systems with
fewer outputs than unknown parameters. As a fundamental example,
this method is implemented to one degree of freedom vibratory system.
Via LFT, all physical parameters were simultaneously identified in this
system. Then, numerical simulations were conducted for this system to
verify the results. This study shows that all the physical parameters of a
system with fewer outputs than unknown parameters can be effectively
identified simultaneously using LFT.
[1] L. Ljung, "System Identification Theory for the User Second Edition",
Prentice-Hall, Chapter7, 2004.
[2] T. Katayama, "Introduction to System Identification",
AsakuraPublishing, pp. 71-86, 1994.
[3] L. H. Lee, "Identification of Linear Parameter-Varying Systems via
LFTs", Decision and Control, Proceedings of the 35th IEEE. Vol. 2,
pp.1545-1550, 1996.
[4] G. Obinata, T. Kurosawa, and T. Kawai, "A Method of Identification for
Physical Parameter using Advance Information (1st Report, A
Proposition to The New Method of Identification)", Transactions of the
Japan Society of Mechanical Engineers, Series C, Vol. 70, No. 691, pp.
714- 719, 2004.
[5] S. Dasgupta, and B. D. O. Anderson, "Identification of Physical
Parameters in Structured Systems", Automatica, Vol. 24, No. 2, pp.
217-225, 1988
[6] F. Demourant, and G. Ferreres, "Controller Design for the Identification
of an LFT model", Proceedings of the 15th IFAC Triennial World
Congress, 2002.
[7] K. Zhou, J. C. Doyle and K. Glover, "Robust and Optimal Control",
Prentice-Hall, Chapter3-6, 9, 10, 12, 1991
[8] H. Yanai and K. Takeuchi, "Projection Matrices, Pseudo Inverse
Matrices, Singular Value Decompositions", University of Tokyo Press,
Chapter1-3, 1991
[1] L. Ljung, "System Identification Theory for the User Second Edition",
Prentice-Hall, Chapter7, 2004.
[2] T. Katayama, "Introduction to System Identification",
AsakuraPublishing, pp. 71-86, 1994.
[3] L. H. Lee, "Identification of Linear Parameter-Varying Systems via
LFTs", Decision and Control, Proceedings of the 35th IEEE. Vol. 2,
pp.1545-1550, 1996.
[4] G. Obinata, T. Kurosawa, and T. Kawai, "A Method of Identification for
Physical Parameter using Advance Information (1st Report, A
Proposition to The New Method of Identification)", Transactions of the
Japan Society of Mechanical Engineers, Series C, Vol. 70, No. 691, pp.
714- 719, 2004.
[5] S. Dasgupta, and B. D. O. Anderson, "Identification of Physical
Parameters in Structured Systems", Automatica, Vol. 24, No. 2, pp.
217-225, 1988
[6] F. Demourant, and G. Ferreres, "Controller Design for the Identification
of an LFT model", Proceedings of the 15th IFAC Triennial World
Congress, 2002.
[7] K. Zhou, J. C. Doyle and K. Glover, "Robust and Optimal Control",
Prentice-Hall, Chapter3-6, 9, 10, 12, 1991
[8] H. Yanai and K. Takeuchi, "Projection Matrices, Pseudo Inverse
Matrices, Singular Value Decompositions", University of Tokyo Press,
Chapter1-3, 1991
@article{"International Journal of Engineering, Mathematical and Physical Sciences:56603", author = "Ryosuke Ito and Goro Obinata and Chikara Nagai and Youngwoo Kim", title = "A Method for Identifying Physical Parameters with Linear Fractional Transformation", abstract = "This paper proposes a new parameter identification
method based on Linear Fractional Transformation (LFT). It is
assumed that the target linear system includes unknown parameters.
The parameter deviations are separated from a nominal system via
LFT, and identified by organizing I/O signals around the separated
deviations of the real system. The purpose of this paper is to apply LFT
to simultaneously identify the parameter deviations in systems with
fewer outputs than unknown parameters. As a fundamental example,
this method is implemented to one degree of freedom vibratory system.
Via LFT, all physical parameters were simultaneously identified in this
system. Then, numerical simulations were conducted for this system to
verify the results. This study shows that all the physical parameters of a
system with fewer outputs than unknown parameters can be effectively
identified simultaneously using LFT.", keywords = "Identification, Linear Fractional Transformation,
Right inverse system", volume = "6", number = "2", pages = "154-8", }