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    H∞ Control for Impulsive Disturbances: A State-Space Solution

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    No. of downloads: 474

    Date
    1994
    Author
    Wei, Q.F.
    Dayawansa, Wijesuriya P.
    Krishnaprasad, Perinkulam S.
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    Abstract
    In this paper we formulate and study an interesting (sub) optimal H∞ control problem related to the attenuation of impulsive disturbances to a class of linear systems. Among the motivating factors is the need to study control problems related to mechanical systems subject to impulsive forces, e.g.active control of the suspension system of a vehicle, accurate pointing of guns, stabilization of an antenna on the space station subject to impact from space debris, or active damping of vibrations of flexible structures caused by impact forces [1,2]. A reasonable control objective in all these problems is to design a stabilizing controller to minimize the induced operator norm from the impulsive disturbances to the controlled outputs. We derive necessary and sufficient conditions for the existence of a (sub) optimal controller, and give a procedure to compute such a controller when one exists.
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    http://hdl.handle.net/1903/5541
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