YaBeSH Engineering and Technology Library

    • Journals
    • PaperQuest
    • YSE Standards
    • YaBeSH
    • Login
    View Item 
    •   YE&T Library
    • ASME
    • Journal of Dynamic Systems, Measurement, and Control
    • View Item
    •   YE&T Library
    • ASME
    • Journal of Dynamic Systems, Measurement, and Control
    • View Item
    • All Fields
    • Source Title
    • Year
    • Publisher
    • Title
    • Subject
    • Author
    • DOI
    • ISBN
    Advanced Search
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Archive

    Functional Persistence of Excitation and Observability for Learning Control Systems

    Source: Journal of Dynamic Systems, Measurement, and Control:;1992:;volume( 114 ):;issue: 003::page 500
    Author:
    J. B. Moore
    ,
    R. Horowitz
    ,
    W. Messner
    DOI: 10.1115/1.2897375
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Adaptive systems involving function learning can be formulated in terms of integral equations of the first kind, possibly with separable, finite-dimensional kernels. The learning process involves estimating the influence functions (Messner et al., 1989). To achieve convergence of the influence function estimates and exponentially stability, it is important to have persistence of excitation in the training tasks. This paper develops the concept of functional persistence of excitation (PE), and the associated concept of functional uniform complete observability (UCO). Relevant PE and UCO properties for linear systems are developed. For example, a key result is that uniform complete observability in this context is maintained under bounded integral operator output injection—a natural generalization of the corresponding finite dimensional result. This paper also demonstrates the application of the theory to linear error equations associated with a repetitive control algorithm.
    keyword(s): Stability , Control systems , Equations , Errors , Functions , Integral equations , Linear systems AND Control algorithms ,
    • Download: (613.9Kb)
    • Show Full MetaData Hide Full MetaData
    • Get RIS
    • Item Order
    • Go To Publisher
    • Price: 5000 Rial
    • Statistics

      Functional Persistence of Excitation and Observability for Learning Control Systems

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/109962
    Collections
    • Journal of Dynamic Systems, Measurement, and Control

    Show full item record

    contributor authorJ. B. Moore
    contributor authorR. Horowitz
    contributor authorW. Messner
    date accessioned2017-05-08T23:37:57Z
    date available2017-05-08T23:37:57Z
    date copyrightSeptember, 1992
    date issued1992
    identifier issn0022-0434
    identifier otherJDSMAA-26185#500_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/109962
    description abstractAdaptive systems involving function learning can be formulated in terms of integral equations of the first kind, possibly with separable, finite-dimensional kernels. The learning process involves estimating the influence functions (Messner et al., 1989). To achieve convergence of the influence function estimates and exponentially stability, it is important to have persistence of excitation in the training tasks. This paper develops the concept of functional persistence of excitation (PE), and the associated concept of functional uniform complete observability (UCO). Relevant PE and UCO properties for linear systems are developed. For example, a key result is that uniform complete observability in this context is maintained under bounded integral operator output injection—a natural generalization of the corresponding finite dimensional result. This paper also demonstrates the application of the theory to linear error equations associated with a repetitive control algorithm.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleFunctional Persistence of Excitation and Observability for Learning Control Systems
    typeJournal Paper
    journal volume114
    journal issue3
    journal titleJournal of Dynamic Systems, Measurement, and Control
    identifier doi10.1115/1.2897375
    journal fristpage500
    journal lastpage507
    identifier eissn1528-9028
    keywordsStability
    keywordsControl systems
    keywordsEquations
    keywordsErrors
    keywordsFunctions
    keywordsIntegral equations
    keywordsLinear systems AND Control algorithms
    treeJournal of Dynamic Systems, Measurement, and Control:;1992:;volume( 114 ):;issue: 003
    contenttypeFulltext
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian
     
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian