Abstract
The problems of formation and construction of stable algorithms for estimating the covariance matrices of input disturbances of the control object based on the methods of successive approximations are considered. Algorithms for the stable estimation of covariance matrices of perturbations at the input of an object are presented based on the concepts of iterative algorithms. The regular algorithms given above make it possible to produce a stable estimation of the covariance matrix of the object noise based on the concepts of the synthesis of adaptive filters and thereby increase the accuracy of the adaptive estimation procedure.
First Page
46
Last Page
49
References
1. V.Antonov, V.Terehov, I.Tyukin, Adaptivnoe upravlenie v tehnicheskih sistemah [Adaptive management in technical systems]. Sankt-Peterburg: Sankt-Peterburgskogo universiteta, 2001, 244 p. (in Rusiian).
2. V.N.Fomin, A.L.Fradkov, V.A.YAkubovich, “Adaptivnoe upravleniya dinamicheskimi ob`ektami” [Adaptive control of dynamic objects]. Moskva: Nauka, 1981, 448 p. (in Russian).
3. V.I.Saly'ga, N.N.Karabutov, Identifikaciya i upravlenie processami v chernoy metallurgii [Identification and management of processes in ferrous metallurgy]. Moskva: Metallurgiya, 1986, 192 p. (in Russian).
4. V.B.YAkovleva, Avtomatizirovannoe upravlenie tehnologicheskimi processami [Automated control of technological processes]. Leningrad: Leningradskogo universiteta, 1988, 224 p. (in Russian).
5. K.T.Leondesa, Fil'traciya i stohasticheskoe upravlenie v dinamicheskih sistemah [Filtering and stochastic control in dynamic systems]. Moskva: Mir, 1980, 407 p. (in Russian).
6. V.Antonov, V.Terehov, I.Tyukin, Adaptivnoe upravlenie v tehnicheskih sistemah. Uchebnoe posobie. Izd-vo: Izd-vo Sankt-Peterburgskogo universiteta, 2001. - 244 s.
7. M.A.Ogarkov, Metody' statisticheskogo ocenivaniya parametrov sluchayny'h processov [Methods for statistical evaluation of random process parameters]. Moskva: E`nergoatomizdat, 1990, 208 p. (in Russian).
8. N.T.Kuzovkov, O.S.Saly'chev, Inercial'naya i optimal'naya fil'traciya [Inertial and optimal filtering]. Moskva: Mashinostroenie, 1982, 216 p. (in Russian).
9. I.N.Sinicy'n, Fil'try' Kalmana i Pugacheva [Filters of Kalman and Pugachev]. Moskva: Logos, 2006, 640 p. (in Russian).
10. A.N.Tihonov, A.S.Leonov, A.G.YAgola, Nelineyny'e nekorrektny'e zadachi [Nonlinear ill-posed problems]. Moskva: Nauka, 1995, 308 p. (in Russian).
11. A.B.Bakushinskiy, A.V.Goncharskiy, Iterativny'e metody' resheniya nekorrektny'h zadach [Iterative methods for solving incorrect problems]. Moskva: Nauka, 1989, 128 p. (in Russian).
12. A.A.Fonarev, “O reshenii nelineyny'h uravneniy s monotonny'mi otobrajeniyami v gil'bertovom prostranstve, Differenc. uravneniya” [On solving nonlinear equations with monotone images in Hilbert space, Differential equations], vol. 17, no. 2, pp. 366-372, 1981 (in Russian).
13. A.B.Bakushinskiy, M.YU.Kokurin, “Algoritmy' iterativnoy regulyarizacii dlya monotonny'h variacionny'h neravenstv” [An algorithm for iterative regularization of monotone variational inequalities], JVMiMF, vol. 39, no. 4, pp. 553-560, 1999 (in Russian).
14. G.M.Vaynikko, A.YU.Veretennikov, Iteracionny'e procedury' v nekorrektny'h zadachah [Iterative procedures in incorrect problems]. Moskva: Nauka, 1986, 314 p. (in Russian).
15. A.F.Verlan', V.S.Sizikov, Integral'ny'e uravneniya: metody', algoritmy', programmy' [Integral equations: method, algorithm, program]. Kiev: Naukova dumka, 1986, 542 p. (in Russian).
Recommended Citation
Zaripov, O.O and Shukurova, O.P
(2018)
"Estimation of the covariation matrix of disturbances at the entrance of the controlled object on the basis of iterative algorithms .,"
Chemical Technology, Control and Management: Vol. 2018:
Iss.
4, Article 8.
DOI: https://doi.org/10.34920/2018.6.46-49