WO1997018442B1 - Method for adaptive kalman filtering in dynamic systems - Google Patents
Method for adaptive kalman filtering in dynamic systemsInfo
- Publication number
- WO1997018442B1 WO1997018442B1 PCT/FI1996/000621 FI9600621W WO9718442B1 WO 1997018442 B1 WO1997018442 B1 WO 1997018442B1 FI 9600621 W FI9600621 W FI 9600621W WO 9718442 B1 WO9718442 B1 WO 9718442B1
- Authority
- WO
- WIPO (PCT)
- Prior art keywords
- values
- model
- output signal
- calibration parameters
- external events
- Prior art date
Links
- 238000001914 filtration Methods 0.000 title claims abstract 5
- 230000003044 adaptive Effects 0.000 title claims abstract 3
- 230000000875 corresponding Effects 0.000 claims 4
- 239000011159 matrix material Substances 0.000 claims 4
- 230000003190 augmentative Effects 0.000 claims 2
- 230000001276 controlling effect Effects 0.000 claims 1
- 238000004364 calculation method Methods 0.000 abstract 1
- 238000004886 process control Methods 0.000 abstract 1
Abstract
The invention is based on the use of the principles of Lange's Fast Kalman Filtering (FKFTM) for large process control, prediction or warning systems where other computing methods are either too slow or fail because of truncation errors. The invented method makes it possible to exploit the FKF method for adaptive Kalman Filtering of dynamic multiparameter systems with large moving data-windows.
Claims
1. A method for adjusting model and calibration parameters of a sensor system accompanied with said model of external events by adaptive Kalman filtering, the sensor output units providing signals in response to said external events and where the series of simultaneously processed sensor output signal values are long, the method comprising the steps of: a) providing a data base unit for storing information on:
- a plurality of test point sensor output signal values for some of said sensors and a plurality of values for said external events corresponding to said test point sensor output signal values, or simultaneous time series of said output signal values from adjacent sensors for comparison;
- said sensor output signal values accompanied with values for said model and calibration parameters and values for said external events corresponding to a situation: and,
- controls of said sensors and changes in said external events corresponding to a new situation; b) providing a logic unit for accessing said sensor signal output values with said model and calibration parameters, said logic unit having a two-way communications link to said data base unit, and computing initial values for unknown model and calibration parameters with accuracy estimates by using Lange's High-pass Filter as required; c) providing said sensor output signal values from said sensors, as available, to said logic unit; d) providing information on said controls and changes to said data base unit; e) accessing current values of said model and calibration parameters and elements of a state transition matrix, and computing by using the Fast Kalman Filter (FKF) formulas obtained from Frobenius' inversion formula (26) wherein the improvement comprises a diagonalization of the error covariance matrix of Augmented Model (24), in said logic unit, updates of said model and calibration parameters, values of said external events and their accuracies corresponding to said new situation; f) controlling stability of said Kalman filtering by monitoring said accuracy estimates, in said logic unit, and by indicating need for new test point data, comparisons or system reconfiguration; g) adjusting those of said model and calibration parameter values for which stable updates are available. STATEMENT UNDER ARTICLE 19(1)
Amended Claims (1) replaces the original Claims (1) due to the following three reasons:
- the preamble of Claim 1 failed to state clearly that the invented method exploits the FKF formulae for long moving windows of data (and not necessarily that large systems);
- the body of Claim 1 failed to make a direct reference to the formula (26) of Frobenius from which Lange's sparse-matrix inversion formula (20) can be derived in an obvious manner. The concept of the FKF formulae is extended from FKF formulae (25) as explained in the Description, page 15. The required direct reference to Frobenius' inversion formula (26) is now made under step e).
- the body of Claim 1 failed to contain the characterizing portion :
"wherein he improvement comprises a diagonalization of the error covariance matrix of Augmented Model (24) " which is now included under step e).
Priority Applications (16)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US09/074,933 US6202033B1 (en) | 1995-11-15 | 1996-11-15 | Method for adaptive kalman filtering in dynamic systems |
EE9800143A EE03534B1 (en) | 1995-11-15 | 1996-11-15 | A method for applying adaptive Kalman filtering in dynamic systems |
AU75742/96A AU705080B2 (en) | 1995-11-15 | 1996-11-15 | Method for adaptive kalman filtering in dynamic systems |
EA199800444A EA001188B1 (en) | 1995-11-15 | 1996-11-15 | Method for adaptive kalman filtering in dynamic systems |
SK1137-98A SK284575B6 (en) | 1995-11-15 | 1996-11-15 | Method for adaptive Kalman filtering in dynamic systems |
SI9630624T SI0862730T1 (en) | 1995-11-15 | 1996-11-15 | Method for adaptive kalman filtering in dynamic systems |
UA98063074A UA49862C2 (en) | 1995-11-15 | 1996-11-15 | Method of adaptive kalman filtration used for adjusting model parameters and calibrating transducers in dynamic systems |
MXPA98003895A MXPA98003895A (en) | 1995-11-15 | 1996-11-15 | Method for adaptive kalman filtering in dynamic systems. |
CA002236757A CA2236757C (en) | 1995-11-15 | 1996-11-15 | Method for adaptive kalman filtering in dynamic systems |
PL96327042A PL185573B1 (en) | 1995-11-15 | 1996-11-15 | Kalman algorithm adaptive filtering method used in dynamic systems |
EP96938246A EP0862730B1 (en) | 1995-11-15 | 1996-11-15 | Method for adaptive kalman filtering in dynamic systems |
IL12458196A IL124581A (en) | 1995-11-15 | 1996-11-15 | Method for adaptive kalman filtering in dynamic systems |
JP9518609A JPH11506204A (en) | 1995-11-15 | 1996-11-15 | Adaptive Kalman filtering method for dynamic systems |
DE69628186T DE69628186T2 (en) | 1995-11-15 | 1996-11-15 | METHOD FOR ADAPTIVE KALMAN FILTERING IN DYNAMIC SYSTEMS |
IS4738A IS4738A (en) | 1995-11-15 | 1998-05-12 | Method of adapting Kalman filtration in mobile systems |
FI981095A FI114412B (en) | 1995-11-15 | 1998-05-15 | Adaptive Kalman filtering method for dynamic multi-parameter systems - includes whitening and partial orthogonalisation of measurements and system errors |
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
FI955489A FI955489A0 (en) | 1995-11-15 | 1995-11-15 | Foerfarande Foer adaptive Kalmanfiltrering in a dynamic system |
FI955489 | 1995-11-15 |
Publications (3)
Publication Number | Publication Date |
---|---|
WO1997018442A2 WO1997018442A2 (en) | 1997-05-22 |
WO1997018442A3 WO1997018442A3 (en) | 1997-07-03 |
WO1997018442B1 true WO1997018442B1 (en) | 1997-07-31 |
Family
ID=8544385
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
PCT/FI1996/000621 WO1997018442A2 (en) | 1995-11-15 | 1996-11-15 | Method for adaptive kalman filtering in dynamic systems |
Country Status (25)
Country | Link |
---|---|
US (1) | US6202033B1 (en) |
EP (1) | EP0862730B1 (en) |
JP (1) | JPH11506204A (en) |
KR (1) | KR100392651B1 (en) |
CN (1) | CN1121093C (en) |
AU (1) | AU705080B2 (en) |
CA (1) | CA2236757C (en) |
CZ (1) | CZ293985B6 (en) |
DE (1) | DE69628186T2 (en) |
EA (1) | EA001188B1 (en) |
EE (1) | EE03534B1 (en) |
ES (1) | ES2198502T3 (en) |
FI (2) | FI955489A0 (en) |
GE (1) | GEP20022775B (en) |
IL (1) | IL124581A (en) |
IS (1) | IS4738A (en) |
MX (1) | MXPA98003895A (en) |
OA (1) | OA10768A (en) |
PL (1) | PL185573B1 (en) |
PT (1) | PT862730E (en) |
SI (1) | SI0862730T1 (en) |
SK (1) | SK284575B6 (en) |
TR (1) | TR199800947T2 (en) |
UA (1) | UA49862C2 (en) |
WO (1) | WO1997018442A2 (en) |
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US20020137696A1 (en) * | 1996-01-23 | 2002-09-26 | Robert Tam | Specific modulation of TH1/TH2 cytokine expression by ribavirin in activated T-lymphocytes |
FR2783940B1 (en) * | 1998-09-28 | 2000-12-01 | Schneider Electric Sa | METHOD OF ESTIMATING, USING AN EXTENDED KALMAN FILTER, A STATE VECTOR REPRESENTATIVE OF THE STATE OF A DYNAMIC SYSTEM |
AU3949899A (en) * | 1999-06-03 | 2000-12-28 | Boschung Mecatronic Ag | Method and warning device for generating glazed frost early warning signal for roads |
US6721770B1 (en) * | 1999-10-25 | 2004-04-13 | Honeywell Inc. | Recursive state estimation by matrix factorization |
US6564110B1 (en) * | 2000-06-07 | 2003-05-13 | Sumitomo Heavy Industries, Ltd. | Position controlling apparatus capable of reducing the effect of disturbance |
WO2002061732A1 (en) * | 2001-01-30 | 2002-08-08 | Thomson Licensing S.A. | Geometric source separation signal processing technique |
ATE467872T1 (en) * | 2001-03-08 | 2010-05-15 | California Inst Of Techn | REAL-TIME SPATIO-TIME COHERENCE ESTIMATION FOR AUTONOMOUS MODE IDENTIFICATION AND INVARIANCIES TRACKING |
US6922493B2 (en) * | 2002-03-08 | 2005-07-26 | Anzus, Inc. | Methods and arrangements to enhance gridlocking |
US6909808B2 (en) * | 2002-03-08 | 2005-06-21 | Anzus, Inc. | Image compression to enhance optical correlation |
US7050652B2 (en) | 2002-03-08 | 2006-05-23 | Anzus, Inc. | Methods and arrangements to enhance correlation |
US6803997B2 (en) * | 2002-03-08 | 2004-10-12 | Anzus, Inc. | Gridlocking and correlation methods and arrangements |
GB0207431D0 (en) | 2002-03-28 | 2002-05-08 | Qinetiq Ltd | Signal analysis system |
JP3966139B2 (en) * | 2002-09-27 | 2007-08-29 | 株式会社日立製作所 | Meteorological quantity estimation method |
US7276877B2 (en) * | 2003-07-10 | 2007-10-02 | Honeywell International Inc. | Sensorless control method and apparatus for a motor drive system |
US6961677B1 (en) * | 2003-08-25 | 2005-11-01 | Itt Manufacturing Enterprises, Inc. | Method and apparatus for categorizing unexplained residuals |
JP5020807B2 (en) * | 2004-03-23 | 2012-09-05 | ザ リージェンツ オブ ザ ユニバーシティ オブ カリフォルニア | Apparatus and method for enhancing the reliability of sensor data collected on a network |
CN101048714B (en) * | 2004-08-27 | 2010-05-12 | 西门子共同研究公司 | System, device, and methods for updating system-monitoring models |
CN100389302C (en) * | 2004-11-12 | 2008-05-21 | 厦门信源交通器材有限公司 | Method for predicting engine crankshaft corner and speed revolution value with kalman filter |
WO2007096466A1 (en) * | 2006-02-27 | 2007-08-30 | Antti Aarne Llmari Lange | A method for calibrating teh carrier-phases of radio signals from satellites and other transmitters by using fast kalman filtering |
CN100483276C (en) * | 2006-06-02 | 2009-04-29 | 中国科学院自动化研究所 | Self-adapting state feedback forecasting control method based on noise computing |
US7605747B1 (en) * | 2006-08-14 | 2009-10-20 | Lockheed Martin Corporation | Method for compensating for the positional errors of a sensor |
US8600660B2 (en) * | 2006-09-29 | 2013-12-03 | Honeywell International Inc. | Multipath modeling for deep integration |
US20090299929A1 (en) * | 2008-05-30 | 2009-12-03 | Robert Kozma | Methods of improved learning in simultaneous recurrent neural networks |
CN102890743B (en) * | 2011-07-19 | 2015-08-05 | 北京理工大学 | Planetary scale enters lander drop point analysis on Uncertainty method |
JP6117349B2 (en) * | 2012-06-19 | 2017-04-19 | ゲーコーエヌ エアロスペース スウェーデン アーベー | Simple calculation model generation method and component consumption life prediction method |
US9825641B1 (en) * | 2014-09-12 | 2017-11-21 | The United States Of America As Represented By The Administrator Of The National Aeronautics And Space Administration | Reconfigurable sensor monitoring system |
RU2755499C1 (en) * | 2021-01-28 | 2021-09-16 | Ордена Трудового Красного Знамени федеральное государственное бюджетное образовательное учреждение высшего образования «Московский технический университет связи и информатики» (МТУСИ). | Adaptive filtering method |
CN116743179B (en) * | 2023-06-30 | 2024-04-12 | 浙江东鸿电子股份有限公司 | Ammeter data optimization acquisition processing method |
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JPS57116410A (en) * | 1981-01-13 | 1982-07-20 | Kokusai Denshin Denwa Co Ltd <Kdd> | Karman type equalizer |
US4760596A (en) * | 1986-02-25 | 1988-07-26 | Gte Laboratories Incorporated | Adaptive echo cancellation and equalization system signal processor and method therefor |
FI896219A0 (en) * | 1989-04-28 | 1989-12-22 | Antti Aarne Ilmari Lange | ANALYZING AND FOUNDATION CALIBRATION AV DETEKTORSYSTEM. |
FI922031A0 (en) * | 1991-10-23 | 1992-05-05 | Antti Aarne Ilmari Lange | FOERFARANDE FOER KALMAN-FILTER I STORA SYSTEM. |
WO1993013794A1 (en) * | 1992-01-16 | 1993-07-22 | Repligen Corporation | Novel methods and compositions for treatment of angiogenic diseases |
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-
1995
- 1995-11-15 FI FI955489A patent/FI955489A0/en not_active Application Discontinuation
-
1996
- 1996-11-15 UA UA98063074A patent/UA49862C2/en unknown
- 1996-11-15 PT PT96938246T patent/PT862730E/en unknown
- 1996-11-15 WO PCT/FI1996/000621 patent/WO1997018442A2/en active IP Right Grant
- 1996-11-15 SI SI9630624T patent/SI0862730T1/en unknown
- 1996-11-15 CA CA002236757A patent/CA2236757C/en not_active Expired - Fee Related
- 1996-11-15 CZ CZ19982554A patent/CZ293985B6/en not_active IP Right Cessation
- 1996-11-15 PL PL96327042A patent/PL185573B1/en not_active IP Right Cessation
- 1996-11-15 EE EE9800143A patent/EE03534B1/en not_active IP Right Cessation
- 1996-11-15 AU AU75742/96A patent/AU705080B2/en not_active Ceased
- 1996-11-15 IL IL12458196A patent/IL124581A/en not_active IP Right Cessation
- 1996-11-15 SK SK1137-98A patent/SK284575B6/en not_active IP Right Cessation
- 1996-11-15 CN CN96198347A patent/CN1121093C/en not_active Expired - Fee Related
- 1996-11-15 KR KR10-1998-0703684A patent/KR100392651B1/en not_active IP Right Cessation
- 1996-11-15 EA EA199800444A patent/EA001188B1/en not_active IP Right Cessation
- 1996-11-15 DE DE69628186T patent/DE69628186T2/en not_active Expired - Fee Related
- 1996-11-15 EP EP96938246A patent/EP0862730B1/en not_active Expired - Lifetime
- 1996-11-15 TR TR1998/00947T patent/TR199800947T2/en unknown
- 1996-11-15 ES ES96938246T patent/ES2198502T3/en not_active Expired - Lifetime
- 1996-11-15 GE GEAP1996004344 patent/GEP20022775B/en unknown
- 1996-11-15 MX MXPA98003895A patent/MXPA98003895A/en active IP Right Grant
- 1996-11-15 JP JP9518609A patent/JPH11506204A/en active Pending
- 1996-11-15 US US09/074,933 patent/US6202033B1/en not_active Expired - Lifetime
-
1998
- 1998-05-12 IS IS4738A patent/IS4738A/en unknown
- 1998-05-15 FI FI981095A patent/FI114412B/en not_active IP Right Cessation
- 1998-05-15 OA OA9800055A patent/OA10768A/en unknown
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