CA2104949A1 - Dynamical system analyser - Google Patents

Dynamical system analyser

Info

Publication number
CA2104949A1
CA2104949A1 CA002104949A CA2104949A CA2104949A1 CA 2104949 A1 CA2104949 A1 CA 2104949A1 CA 002104949 A CA002104949 A CA 002104949A CA 2104949 A CA2104949 A CA 2104949A CA 2104949 A1 CA2104949 A1 CA 2104949A1
Authority
CA
Canada
Prior art keywords
analyser
singular
states
ordi
nates
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CA002104949A
Other languages
French (fr)
Other versions
CA2104949C (en
Inventor
David Sidney Broomhead
Robin Jones
Martin Johnson
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Qinetiq Ltd
Original Assignee
David Sidney Broomhead
Robin Jones
Martin Johnson
The Secretary Of State For Defence Of The United Kingdom Of Great Britain And Northern Ireland
Qinetiq Limited
The Secretary Of State For Defence In Her Britannic Majesty's Government Of The United Kingdom Of Great Britain And Northern Ireland
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by David Sidney Broomhead, Robin Jones, Martin Johnson, The Secretary Of State For Defence Of The United Kingdom Of Great Britain And Northern Ireland, Qinetiq Limited, The Secretary Of State For Defence In Her Britannic Majesty's Government Of The United Kingdom Of Great Britain And Northern Ireland filed Critical David Sidney Broomhead
Publication of CA2104949A1 publication Critical patent/CA2104949A1/en
Application granted granted Critical
Publication of CA2104949C publication Critical patent/CA2104949C/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

Links

Classifications

    • A—HUMAN NECESSITIES
    • A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
    • A61B5/00—Measuring for diagnostic purposes; Identification of persons
    • A61B5/24—Detecting, measuring or recording bioelectric or biomagnetic signals of the body or parts thereof
    • A61B5/316—Modalities, i.e. specific diagnostic methods
    • A61B5/369—Electroencephalography [EEG]
    • G—PHYSICS
    • G05—CONTROLLING; REGULATING
    • G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B23/00—Testing or monitoring of control systems or parts thereof
    • G05B23/02—Electric testing or monitoring
    • G05B23/0205—Electric testing or monitoring by means of a monitoring system capable of detecting and responding to faults
    • G05B23/0218—Electric testing or monitoring by means of a monitoring system capable of detecting and responding to faults characterised by the fault detection method dealing with either existing or incipient faults
    • G05B23/0221—Preprocessing measurements, e.g. data collection rate adjustment; Standardization of measurements; Time series or signal analysis, e.g. frequency analysis or wavelets; Trustworthiness of measurements; Indexes therefor; Measurements using easily measured parameters to estimate parameters difficult to measure; Virtual sensor creation; De-noising; Sensor fusion; Unconventional preprocessing inherently present in specific fault detection methods like PCA-based methods
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N20/00—Machine learning
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
    • Y10S—TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10S706/00—Data processing: artificial intelligence
    • Y10S706/902—Application using ai with detail of the ai system
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
    • Y10S—TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10S706/00—Data processing: artificial intelligence
    • Y10S706/902—Application using ai with detail of the ai system
    • Y10S706/903—Control

Abstract

A dynamical system analyser (10) incorporates a computer (22) to perform a singular value decom-position of a time series of signals from a nonlinear (possibly chaotic) dynamical system (14). Relatively low-noise singular vectors from the decomposition are loaded into a fi-nite impulse response filter (34).
The time series is formed into Tak-ens' vectors each of which is pro-jected onto each of the singular vec-tors by the filter (34). Each Takens' vector thereby provides the co-ordi-nates of a respective point on a tra-jectory of the system (14) in a phase space. A heuristic processor (44) is used to transform delayed co-ordi-nates by QR decomposition and least squares fitting so that they are fitted to non-delayed co-ordinates.
The heuristic processor (44) gen-erates a mathematical model to implement this transformation, which predicts future system states on the basis of respective current states. A trial system is em-ployed to generate like co-ordinates for transformation in the heuristic processor (44). This produces estimates of the trial sys-tem's future states predicted from the comparison system's model.
Alternatively, divergences between such estimates and actual behaviour may be obtained. As a further alternative, mathematical models derived by the analyser (10) from different dynamical systems may be compared.
CA002104949A 1991-03-22 1992-03-03 Dynamical system analyser Expired - Fee Related CA2104949C (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
GB9106082.2 1991-03-22
GB919106082A GB9106082D0 (en) 1991-03-22 1991-03-22 Dynamical system analyser
PCT/GB1992/000374 WO1992016897A1 (en) 1991-03-22 1992-03-03 Dynamical system analyser

Publications (2)

Publication Number Publication Date
CA2104949A1 true CA2104949A1 (en) 1992-09-23
CA2104949C CA2104949C (en) 2003-02-11

Family

ID=10692004

Family Applications (1)

Application Number Title Priority Date Filing Date
CA002104949A Expired - Fee Related CA2104949C (en) 1991-03-22 1992-03-03 Dynamical system analyser

Country Status (8)

Country Link
US (3) US5453940A (en)
EP (1) EP0585237B1 (en)
JP (1) JP3040471B2 (en)
CA (1) CA2104949C (en)
DE (1) DE69231420T2 (en)
ES (1) ES2149172T3 (en)
GB (1) GB9106082D0 (en)
WO (1) WO1992016897A1 (en)

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CN108519234A (en) * 2018-03-13 2018-09-11 湖北精瑞通流体控制技术有限公司 Monitoring of rolling bearings system based on the response of multiscroll chaotic circuit recurrent pulse

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Also Published As

Publication number Publication date
US5453940A (en) 1995-09-26
ES2149172T3 (en) 2000-11-01
GB9106082D0 (en) 1991-05-08
US5835682A (en) 1998-11-10
JP3040471B2 (en) 2000-05-15
DE69231420D1 (en) 2000-10-12
WO1992016897A1 (en) 1992-10-01
US5493516A (en) 1996-02-20
EP0585237A1 (en) 1994-03-09
DE69231420T2 (en) 2001-01-04
JPH06508681A (en) 1994-09-29
EP0585237B1 (en) 2000-09-06
CA2104949C (en) 2003-02-11

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