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

    Improved Gradient-Type Algorithms for Zero Terminal Gradient Optimal Control Problems

    Source: Journal of Dynamic Systems, Measurement, and Control:;1987:;volume( 109 ):;issue: 004::page 355
    Author:
    Chung-Feng Kuo
    ,
    Chen-Yuan Kuo
    DOI: 10.1115/1.3143867
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Difficulties often arise when we apply the gradient type algorithms employing penalty functions to optimal control problems with variable final time. There is another class of optimal control problems for which the necessary conditions for optimality require a zero gradient at the final time. This causes the gradient-type algorithms, in their standard forms, to become incapable of changing the terminal value of the control variable at each iteration and the rate of convergence is adversely affected. In this paper, we first apply a new transformation method developed by Polak [19] which transforms the variable final time problem into a fixed final time problem. Second, an improved gradient-type algorithm is developed to overcome the zero terminal gradient problem. It is shown that, by applying this transformation and improved algorithm to four examples, not only the variable final time and zero terminal gradient problems are solved and the control vector updated in the correct direction but the rate of convergence of the improved algorithm is faster than that of the traditional gradient-type algorithms.
    • Download: (621.7Kb)
    • Show Full MetaData Hide Full MetaData
    • Get RIS
    • Item Order
    • Go To Publisher
    • Price: 5000 Rial
    • Statistics

      Improved Gradient-Type Algorithms for Zero Terminal Gradient Optimal Control Problems

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/102296
    Collections
    • Journal of Dynamic Systems, Measurement, and Control

    Show full item record

    contributor authorChung-Feng Kuo
    contributor authorChen-Yuan Kuo
    date accessioned2017-05-08T23:24:30Z
    date available2017-05-08T23:24:30Z
    date copyrightDecember, 1987
    date issued1987
    identifier issn0022-0434
    identifier otherJDSMAA-26100#355_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/102296
    description abstractDifficulties often arise when we apply the gradient type algorithms employing penalty functions to optimal control problems with variable final time. There is another class of optimal control problems for which the necessary conditions for optimality require a zero gradient at the final time. This causes the gradient-type algorithms, in their standard forms, to become incapable of changing the terminal value of the control variable at each iteration and the rate of convergence is adversely affected. In this paper, we first apply a new transformation method developed by Polak [19] which transforms the variable final time problem into a fixed final time problem. Second, an improved gradient-type algorithm is developed to overcome the zero terminal gradient problem. It is shown that, by applying this transformation and improved algorithm to four examples, not only the variable final time and zero terminal gradient problems are solved and the control vector updated in the correct direction but the rate of convergence of the improved algorithm is faster than that of the traditional gradient-type algorithms.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleImproved Gradient-Type Algorithms for Zero Terminal Gradient Optimal Control Problems
    typeJournal Paper
    journal volume109
    journal issue4
    journal titleJournal of Dynamic Systems, Measurement, and Control
    identifier doi10.1115/1.3143867
    journal fristpage355
    journal lastpage362
    identifier eissn1528-9028
    treeJournal of Dynamic Systems, Measurement, and Control:;1987:;volume( 109 ):;issue: 004
    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