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Authors
Mikhaylova, Ljubov; Alexandrov, A. G.; Orlov, Juriy

Identifier
10.3182/20090706-3-FR-2004.00082

Index Terms
Toolboxes; Frequency Domain Identification; Identification for Control

Abstract
Description of ADAPLAB-3 (MATLAB ToolBox) for finite-frequency identification and adaptation is given. As distinct from known MATLAB ToolBoxes, ADAPLAB-3 algoritms proceed from assumption that an external disturbance applied to a plant and a measurement noise are unknown but bounded functions. A test signal as a sum of a minimal number of harmonics is used for identification. An adaptive control is formed on the base of H-infinity optimization and the results of identification of the plant and a closed-loop system. ADAPLAB-3 has some substantial differences from the early developed toolbox ADAPLAB-M: the discrete-time plants are considered; the amplitudes and the frequencies of the test signal are tuned automatically during the identification and adaptation process; the time of identification and adaptation is determined automatically in dependence on the current external disturbances and the noise.

References

Alexandrov A.G. (1994) Finite-Frequency Method of Identification . 10th IFAC Symposium on System Identification. Preprints, Copengagen, Denmark, vol.2, p.p. 523 - 527 
Alexandrov A.G. and Yu.F. Orlov (2002) Frequency adaptive control of multivariable plants Preprints of the 15th Trienial World Congress of the IFAC, Barcelona, CDROM T-Th-M03-3
Alexandrov A.G., Orlov Yu.F., Mikhailova  L.S. (2003) Identification and adaptation Toolbox for MATLAB. 13-th Symposium on System Identification, Rotterdam, CD-ROM:IFAC SYSID,  pp.995-1000.
Alexandrov A.G. (2005) Finite-frequency identification: selftuning of test signal. Preprints of the 16th IFAC World Congress, Prague, CD-ROM
Alexandrov A.G. (2007) Adaptive control for plant with delay. Preprints of IX International conference “Analytic mechanics, stability and moving control” dedicated to N.G. Chetaev, Ircutsk, vol.3, pp. 6-13.
Yakubovich V.A.  (1998) Adaptive stabilization of continuous linear plants, Automation and Remote Control,  Vol. 49, No 4, pp. 97-107