bibtype K - Conference Paper (Czech conference)
ARLID 0078379
utime 20240111140646.0
mtime 20070212235959.9
title (primary) (eng) Examples of state and parameter estimation for linear model with uniform innovations
specification
page_count 8 s.
media_type CD ROM
serial
title Proceedings of the 7th International PhD Workshop: Interplay of Societal and Technical Decision-Making, Young Generation Viewpoint
page_num 142-149
publisher
place Praha
name ÚTIA AV ČR
year 2006
editor
name1 Šmídl
name2 V.
title (cze) Příklady odhadu stavu a parametrů pro lineární model s rovnoměrně rozloženými inovacemi
keyword state model
keyword uniform innovations
keyword estimation
author (primary)
ARLID cav_un_auth*0101175
name1 Pavelková
name2 Lenka
institution UTIA-B
full_dept Department of Adaptive Systems
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
source_type textový dokument
COSATI 09I
cas_special
project
project_id 2C06001
agency GA MŠk
ARLID cav_un_auth*0217685
project
project_id 1M0572
agency GA MŠk
ARLID cav_un_auth*0001814
project
project_id 1ET100750401
agency GA AV ČR
ARLID cav_un_auth*0001792
research CEZ:AV0Z10750506
abstract (eng) In this contribution, state-space model with uniformly distributed innovations is introduced and the Bayesian state estimation proposed. The off-line evaluation of the maximum a posteriori probability (MAP) estimate of unknowns in the linear state-space model with uniform innovations reduces to linear programming (LP). The solution provides either estimates of the noise boundary and parameters or of the noise boundary and states. The on-line estimation is obtained by applying LP on the sliding window, i.e., by considering only the fixed amount, say partial, of the newest last data and states items. By swapping between state and parameter estimations, joint parameter and state estimation is obtained. The use of Taylor expansion for approximation of products of unknowns solves also the joint parameter and state estimation. Simulation studies help to get an insight on the potential and restrictions of these heuristic method. This contribution shares the experimentally gained experience with both these solutions of the joint state and parameter estimation.
abstract (cze) V tomto příspěvku je zaveden lineární stavový model s rovnoměrně rozloženými inovacemi. Výpočet maximálně věrohodného odhadu redukuje na problém lineárního programování. Výsledkem je buď odhad parametrů a mezí šumu nebo odhad stavu a mezí šumu. Společný odhad stavu a parametrů je dosažen (i) přepínáním mezi odhadem parametrů a odhadem stavu, (ii) použitím Taylorova rozvoje pro aproximaci nelineárního výrazu. V příspěvku je popsán simulovaný příklad společný odhad stavu a parametrů.
action
ARLID cav_un_auth*0217371
name International PhD Workshop on Interplay of Societal and Technical Decision-Making, Young Generation Viewpoint /7./
place Hrubá Skála
dates 25.09.2006-30.09.2006
country CZ
reportyear 2007
RIV BC
permalink http://hdl.handle.net/11104/0143544
arlyear 2006
mrcbU56 textový dokument
mrcbU63 Proceedings of the 7th International PhD Workshop: Interplay of Societal and Technical Decision-Making, Young Generation Viewpoint 142 149 Praha ÚTIA AV ČR 2006
mrcbU67 Šmídl V. 340