The influence of the properties of measurement information on the convergence of adaptive integral algorithms is investigated. The asymptotic stability of continuous and discrete adaptive systems is proved.
Similar content being viewed by others
References
B. Anderson et al., Stability of Adaptive Systems [Translation from English], Mir, Moscow (1989).
K. S. Narendra and P. Kudva, “Stable adaptive schemes for systems identification and control,” IEEE Trans. Syst. Man. Cyber., SMC-4, 542–560 (1974).
J. S. Yang and W. M. Wenham, “Probing signals for model reference identification,” IEEE Trans. Autom. Control, AC-22, 530–539 (1977).
L. Lyung, Identification of Systems. Theory for the User [in Russian], Nauka, Moscow (1991).
N. I. Karabutov, Adaptive Identification of Systems: An Information Synthesis, URSS, Moscow (2006).
R. L. Carroll and R. V. Monopoli, “Modern reference adaptive control estimation and identification using only input and output signals,” in: Proc. IFAC 6th World Congress, Boston–Cambridge (1975), Part 1, pp. 58, 3/1–58, 3/10.
S. Nuyan and R. L. Carroll, “Minimal order arbitrarily fast adaptive observer and identifiers,” IEEE Trans. Automat. Control, AC-24, No. 2, 496–499 (1979).
R. I. Kozlov, Theory of Comparison Systems in the Method of Lyapunov Vector Functions [in Russian], Nauka, Novosibirsk (2001).
F. R. Gantmakher, Theory of Matrices [in Russian], Nauka, Moscow (1966).
N. N. Karabutov, “Constant excitation condition and the problem of constructivity in adaptive systems,” Sist. Tekhnol., Iss. 2(31), 137–143, Dnepropetrovsk (2004).
E. A. Barbashin, Lyapunov Functions [in Russian], Nauka, Moscow (1970).
V. M. Matrosov, “On the theory of motion stability I–III,” Prikl. Mat. Mekh., 26, No. 6, 885–895 (1962).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izmeritel’naya Tekhnika, No. 9, pp. 12–17, September, 2010.
Rights and permissions
About this article
Cite this article
Karabutov, N.N. Influence of measurement information on the properties of adaptive systems. Meas Tech 53, 956–963 (2010). https://doi.org/10.1007/s11018-010-9604-9
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11018-010-9604-9