Systems and Means of Informatics
2015, Volume 25, Issue 2, pp 20-59
SOFTWARE FOR SYNTESIS OF DISCRETE PUGACHEV FILTERS FOR NORMAL PROCESSES IN HEREDITARY STOCHASTIC SYSTEMS
- I. N. Sinitsyn
- I. V. Sergeev
- V. I. Sinitsyn
- E. R. Korepanov
- V. V. Belousov
- V. S. Shorgin
Abstract
Algorithms for synthesis of discrete conditionally optimal (Pugachev)
filters (PF) for normal processing in continuous and discrete linear and nonlinear
hereditary stochastic systems (HStS) with Wiener and Poisson noises are considered. Introduction is devoted to the survey of analysis and modeling problems
in HStS. It is stated that for real time processing, problems in informatics
and control PF are effective in computer realization. The theorems for HStS
reduction to differential StS and discrete StS are presented. Also, the theorems
for discrete PF synthesis for normal processing in linear and nonlinear HStS are
given. The HStS test shock examples for software tools "IDStS-Filtering" are
represented.
[+] References (21)
- Kolmanovskiy, V.B., and V.R. Nosov. 1981. Ustoychivost' i periodicheskie rezhimy
reguliruemykh sistem s posledeystviem [Stability of hereditary systems]. - Moscow:
Nauka. 386 p.
- Sinitsyn, I. N. 1986. Stochastic hereditary control systems. Problemy Upravleniya
i Teorii Informatiki [Problems of Control and Information Theory] 15(4):287 - 298.
- Sinitsyn, I. N. 1987. Konechnomernye raspredeleniya protsessov v stokhasticheskikh
integral'nykh i integrodifferentsial'nykh sistemakh [Finite-dimensional distributions
in stochastic integral and integrodifferential systems]. 2nd Symposium (International)
IFAC on Stochastic Control. Pergamon Press. 1:144 - 153.
- Sinitsyn, I. N. 2014. Analiz i modelirovanie raspredeleniy v ereditarnykh stokhasticheskikh sistemakh [Analysis and modeling of distributions in hereditary stochastic
systems]. Informatika i ee Primeneniya - Inform Appl. 8(1):2 - 11.
- Sinitsyn, I. N. I.V. Sergeev, V. I. Sinitsyn, E.R. Korepanov, and V.V. Belousov.
2014. Matematicheskoe obespechenie parametricheskogo modelirovaniya raspredeleniy
v integrodifferentsial'nykh stokhasticheskikh sistemakh [Software for parametric modeling of distributions in integrodifferential stochastic systems]. Sistemy i Sredstva
Informatiki - Systems and Means of Informatics 24(1):2 - 43.
- Sinitsyn, I. N., E.R. Korepanov, and V.V. Belousov. 2015. Razvitie matematicheskogo obespecheniya analiticheskogo i statisticheskogo modelirovaniya ereditarnykh
stokhasticheskikh sistem [Development of analytical and statistical modeling for gereditary stochastic systems]. 10th Conference (International) on System Identification
and Control Problems (SICPRO'15) Proceedings. CD-ROM. 1275 - 1297.
- Pugachev, V. S., and I. N. Sinitsyn. 1987. Stochastic differential systems. Analysis
and filtering. Chichester, New York: JonhWiley. 549 p.
- Pugachev, V. S., and I. N. Sinitsyn. 2001. Stochastic systems. Theory and applications.
Singapore: Words Scientific. 908 p.
- Sinitsyn, I. N., E.R. Korepanov, V.V. Belousov, and I.V. Chumin. 2005. Metodicheskoe i programmnoe obespechenie analiza kachestva i modelirovaniya singulyarnykh
stokhasticheskikh sistem [Methodology and software for singular stochastic systems
quality analysis and modeling]. 10th Conference (International) on System Identification and Control Problems (SICPRO'05) Proceedings. CD-ROM. 1734 - 1743.
- Sinitsyn, I. N., E.R. Koperanov, V.V. Belousov, and A.V. Kutsenko. 2007. Razvitie
metodicheskogo i programmnogo obespecheniya na osnove simvol'nykh vychisleniy
dlya issledovaniya stokhasticheskikh sistem [Development of methodology and software
for stochastic systems based symbolic computing]. 6th Conference (International) on
System Identification and Control Problems (SICPRO'07) Proceedings. CD-ROM.
1447 - 1462.
- Sinitsyn, I. N. 2009. Kanonicheskie predstavleniya sluchaynykh funktsiy i ikh primenenie v zadachakh komp'yuternoy podderzhki nauchnykh issledovaniy [Canonical
expansions of random functions and their application to scientific computer aided
support]. Moscow: TORUS PRESS. 768 p.
- Sinitsyn, I. N., V. I. Sinitsyn, E.R. Koperanov, V.V. Belousov, and E. S. Agafonov.
2009. Simvol'noe matematicheskoe obespechenie dlya analiza i modelirovaniya stokhas-
ticheskikh sistem, osnovannoe na kanonicheskikh razlozheniyakh sluchaynykh funktsiy
[Symbolic software for stochastic systems analysis and modeling based on canonical
expansions]. 8th Conference (International) on System Identification and Control
Problems (SICPRO'09) Proceedings. CD-ROM. 1059 - 1072.
- Sinitsyn, I. N. 2013. Parametricheskoe statisticheskoe i analiticheskoe modelirovanie
raspredeleniy v nelineynykh stokhasticheskikh sistemakh na mnogoobraziyakh [Parametrical statistical and analytical modeling of distributions in stochastic systems on
manifolds]. Informatika i ee Primeneniya - Inform Appl. 7(2):4 - 16.
- Sinitsyn, I. N. 2007. Fil'try Kalmana i Pugacheva [Kalman and Pugachev filters].
Moscow: Logos. 2nd ed. 776 p.
- Sinitsyn, I. N., and E.R. Korepanov. 2015. Ustoychivye lineynye uslovno optimal'nye
fil'try i ekstrapolyatory dlya stokhasticheskikh sistem s mul'tiplikativnymi shumami
[Stable linear conditionally optimal filters and extrapolaters for stochastic systems with
parametric noises]. Informatika i ee Primeneniya - Inform. Appl. 9(1):70 - 75.
- Sinitsyn, I. N., and E.R. Korepanov. 2015. Sintez ustoychivykh lineynykh fil'trov
i ekstrapolyatorov Pugacheva dlya stokhasticheskikh sistem s mul'tiplikativnymi shirokopolosnymi shumami [Synthesis of stable linear Pugachev filters and extrapolators
for stochastic systems with wide band multiplicative noises]. Sistemy i Sredstva Informatiki - Systems and Means of Informatic 25(1):108-126.
- Korn, G., and T. Korn. 1968. Mathematical handbook. New York: McGraw-Hill.
943 p.
- Kloeden, P., and E. Platen. 1992. Numerical solution of stochastic differential
equations. Berlin - Heidelberg - New York: Springer. 636 p.
- Artem'ev, S. S. 1993. Chislennye metody resheniya zadachi Koshi dlya sistem obyk-
novennykh i stokhasticheskikh differentsial'nykh uravneniy [Caushi problem numerical
methods for systems of ordinary and stochastic equations]. Novosibirsk: VTs SO RAN.
156 p.
- Kuznetsov, D. F. 2001. Chislennoe integrirovanie stokhasticheskikh differentsial'nykh
uravneniy [Numerical methods for stochastic differential equations]. St. Petersburg:
SPbGU. 712 p.
- Sinitsyn, I. N., and V. I. Sinitsyn. 2013. Lektsii po normal'noy i ellipsoidal'noy
approksimatsii raspredeleniy v stokhasticheskikh sistemakh [Lectures on normal and
ellipsoidal distributions approximations].Moscow: TORUS PRESS. 488 p.
[+] About this article
Title
SOFTWARE FOR SYNTESIS OF DISCRETE PUGACHEV FILTERS FOR NORMAL PROCESSES IN HEREDITARY STOCHASTIC SYSTEMS
Journal
Systems and Means of Informatics
Volume 25, Issue 2, pp 20-59
Cover Date
2015-01-30
DOI
10.14357/08696527150202
Print ISSN
0869-6527
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
differential stochastic system (DStS); linear Kalman filter (KF):
linear Pugachev filter (PF); software tools "IDStS-Filtering;" method of normal
approximation (MNA); statistical linearizationmethod (SLM); normal stochastic
process; shock (impulse) noise; hereditary (integrodifferential) stochastic system
(HStS); MATLAB
Authors
I.N. Sinitsyn , I. V. Sergeev ,
V. I. Sinitsyn , E. R. Korepanov ,
V. V. Belousov , and V. S. Shorgin
Author Affiliations
Institute of Informatics Problems, Federal Research Center "Computer Science
and Control", Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation
|