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    Lyapunov Optimal Feedback Control of a Nonlinear Inverted Pendulum

    Source: Journal of Dynamic Systems, Measurement, and Control:;1989:;volume( 111 ):;issue: 004::page 554
    Author:
    M. J. Anderson
    ,
    W. J. Grantham
    DOI: 10.1115/1.3153091
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Lyapunov optimal feedback control is applied to a nonlinear inverted pendulum in which the control torque was constrained to be less than the nonlinear gravity torque in the model. This necessitates a control algorithm which “rocks” the pendulum out of its potential wells, in order to stabilize it at a unique vertical position. Simulation results indicate that a preliminary Lyapunov feedback controller can successfully overcome the nonlinearity and bring almost all trajectories to the target.
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      Lyapunov Optimal Feedback Control of a Nonlinear Inverted Pendulum

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    http://yetl.yabesh.ir/yetl1/handle/yetl/105108
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    contributor authorM. J. Anderson
    contributor authorW. J. Grantham
    date accessioned2017-05-08T23:29:28Z
    date available2017-05-08T23:29:28Z
    date copyrightDecember, 1989
    date issued1989
    identifier issn0022-0434
    identifier otherJDSMAA-26118#554_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/105108
    description abstractLyapunov optimal feedback control is applied to a nonlinear inverted pendulum in which the control torque was constrained to be less than the nonlinear gravity torque in the model. This necessitates a control algorithm which “rocks” the pendulum out of its potential wells, in order to stabilize it at a unique vertical position. Simulation results indicate that a preliminary Lyapunov feedback controller can successfully overcome the nonlinearity and bring almost all trajectories to the target.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleLyapunov Optimal Feedback Control of a Nonlinear Inverted Pendulum
    typeJournal Paper
    journal volume111
    journal issue4
    journal titleJournal of Dynamic Systems, Measurement, and Control
    identifier doi10.1115/1.3153091
    journal fristpage554
    journal lastpage558
    identifier eissn1528-9028
    treeJournal of Dynamic Systems, Measurement, and Control:;1989:;volume( 111 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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