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Avtomatika i Telemekhanika, 2016, Issue 1, Pages 5–29
(Mi at14347)
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This article is cited in 14 scientific papers (total in 14 papers)
Topical issue
Suboptimal anisotropic filtering in a finite horizon
V. N. Timin, A. P. Kurdyukov Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Abstract:
Consideration was given to the problem of robust stochastic filtering in a finite horizon for the linear discrete time-varying system. A random disturbance with inaccurately known probabilistic distribution is fed to the system input. Uncertainty of the input disturbance is defined in the information-theoretical terms by the anisotropy functional of a random vector. The sufficient condition for strict boundedness of the anisotropic norm of linear discrete timevarying system assigned by the threshold value (lemma of real boundedness) was proved in terms of the matrix inequalities. Sufficient conditions for boundedness of the anisotropic norm of two limiting cases of the anisotropy levels of the input disturbance ($a=0$ and $a\to\infty$) were established. A sufficient existence condition for the estimator guaranteeing boundedness of the anisotropic norm of the estimation error operator by the given threshold value was formulated and proved. Sufficient existence conditions for the estimators of two limiting cases of the anisotropy levels of input disturbance were obtained. The estimation algorithm relies on the recurrent solution of a system of matrix inequalities.
Citation:
V. N. Timin, A. P. Kurdyukov, “Suboptimal anisotropic filtering in a finite horizon”, Avtomat. i Telemekh., 2016, no. 1, 5–29; Autom. Remote Control, 77:1 (2016), 1–20
Linking options:
https://www.mathnet.ru/eng/at14347 https://www.mathnet.ru/eng/at/y2016/i1/p5
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Abstract page: | 351 | Full-text PDF : | 93 | References: | 77 | First page: | 47 |
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