The article describes the use of generalized Laguerrre functions for impulse response approximation of systems with dead time. It states some connections between the size of the dead time and the values of free parameters of generalized Laguerre functions. It compares the approximation error with generalized Laguerre functions and with simple Laggerre functions.
Topics
Signal processing
REFERENCES
1.
J.-P.
Richard
, “Time-delay systems: An overview of some recent advances and open problems
,” in Automatica
, Vol. 39
(Pergamon Press, Inc., Tarrytown, NY, USA, 2003
), pp. 1667
–1694
.2.
L.
Belkoura
, “Identifiability and algebraic identification of time delay systems
,” in IFAC Workshop on Time delay Systems
(Prague, Czech Republic, 2010
).3.
E.
Hidayat
and A.
Medvedev
, “Laguerre domain identification of continuous linear time-delay systems from impulse response data
,” in Automatica
, Vol. 48
(Pergamon Press, Inc., Tarrytown, NY, USA, 2012
), pp. 2902
–2907
.4.
B. R.
Fischer
and A.
Medvedev
, “Laguerre shift identification of a pressurized process
,” in Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207)
, Vol. 3
(1998
), pp. 1933
–1937
.5.
B. R.
Fischer
and A.
Medvedev
, “L2 time delay estimation by means of laguerre functions
,” in Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251)
, Vol. 1
(1999
), pp. 455
–459
.6.
P. M.
Makila
, “Approximation of stable systems by laguerre filters
,” in Automatica
, Vol. 26
(1990
), pp. 333
–345
.7.
P.
Makila
, “Laguerre series approximation of infinite dimensional systems
,” in Automatica
, Vol. 26
(1990
), pp. 985
–995
.8.
L.
Belkoura
, J.-P.
Richard
, and M.
Fliess
, “Parameters estimation of systems with delayed and structured entries
,” in Automatica
, Vol. 45
(Pergamon Press, Inc., Tarrytown, NY, USA, 2009
), pp. 1117
–1125
.9.
H. J. W.
Belt
and A. C.
den Brinker
, “Optimal parametrization of truncated generalized laguerre series
,” in Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on, Vol
.5
(1997
), pp. 3805
–3808
.10.
M.
Tuma
and P.
Jura
, “Continuous time models identification with laguerre functions
,” in AIP Conference Proceedings
, Vol. 1863
(2017
) p. 480011
.
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