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    Frequency Domain Criteria for Synthesizing Robustly Stabilizing Compensators for a Class of Interval Plants

    Source: Journal of Dynamic Systems, Measurement, and Control:;1995:;volume( 117 ):;issue: 002::page 241
    Author:
    Yongdong Zhao
    ,
    Suhada Jayasuriya
    DOI: 10.1115/1.2835185
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Considered in this paper is the robust stabilization of a special family of single-input single-output, interval plants in which only the denominator polynomial or the plant poles are uncertain. Two frequency domain necessary and sufficient conditions are derived for the robust stability of the closed-loop system. The first stability criterion reduces to a question of whether or not a specially constructed polar plot intersects the box [−1, 1] × [−1, 1] in the complex plane and the second reduces to a question of whether or not the polar plot of the nominal loop transfer function intersects a specially constructed frequency dependent domain in the complex plane. Both criteria can be used for synthesizing controllers for the special class of interval plants considered. A loop shaping technique is proposed for the synthesis of a robustly stabilizing compensator. For the special class of interval plants considered, the polar plot of the nominal loop transfer function must not intersect a frequency dependent parallelogram. The four corners of the parallelogram can be explicitly computed at each frequency.
    keyword(s): Industrial plants , Stability , Transfer functions , Poles (Building) , Corners (Structural elements) , Closed loop systems , Control equipment AND Polynomials ,
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      Frequency Domain Criteria for Synthesizing Robustly Stabilizing Compensators for a Class of Interval Plants

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/115103
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    • Journal of Dynamic Systems, Measurement, and Control

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    contributor authorYongdong Zhao
    contributor authorSuhada Jayasuriya
    date accessioned2017-05-08T23:46:50Z
    date available2017-05-08T23:46:50Z
    date copyrightJune, 1995
    date issued1995
    identifier issn0022-0434
    identifier otherJDSMAA-26215#241_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/115103
    description abstractConsidered in this paper is the robust stabilization of a special family of single-input single-output, interval plants in which only the denominator polynomial or the plant poles are uncertain. Two frequency domain necessary and sufficient conditions are derived for the robust stability of the closed-loop system. The first stability criterion reduces to a question of whether or not a specially constructed polar plot intersects the box [−1, 1] × [−1, 1] in the complex plane and the second reduces to a question of whether or not the polar plot of the nominal loop transfer function intersects a specially constructed frequency dependent domain in the complex plane. Both criteria can be used for synthesizing controllers for the special class of interval plants considered. A loop shaping technique is proposed for the synthesis of a robustly stabilizing compensator. For the special class of interval plants considered, the polar plot of the nominal loop transfer function must not intersect a frequency dependent parallelogram. The four corners of the parallelogram can be explicitly computed at each frequency.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleFrequency Domain Criteria for Synthesizing Robustly Stabilizing Compensators for a Class of Interval Plants
    typeJournal Paper
    journal volume117
    journal issue2
    journal titleJournal of Dynamic Systems, Measurement, and Control
    identifier doi10.1115/1.2835185
    journal fristpage241
    journal lastpage247
    identifier eissn1528-9028
    keywordsIndustrial plants
    keywordsStability
    keywordsTransfer functions
    keywordsPoles (Building)
    keywordsCorners (Structural elements)
    keywordsClosed loop systems
    keywordsControl equipment AND Polynomials
    treeJournal of Dynamic Systems, Measurement, and Control:;1995:;volume( 117 ):;issue: 002
    contenttypeFulltext
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