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Continuous Feedback Control Strategy With Maximal Capture Zone In A Class Of Pursuit Games


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    (Faculty of Aerospace Engineering, Technion, Israel Institute of Technology, Haifa, 32000, Israel)


    (Faculty of Aerospace Engineering, Technion, Israel Institute of Technology, Haifa, 32000, Israel)

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    An interception problem of a highly maneuverable target is considered using a linearized kinematical model with first order acceleration dynamics of the interceptor and the target. The problem is interpreted as a differential game of pursuit. An admissible pursuer (interceptor) feedback strategy, continuous with respect to the state variables and having a maximal capture zone, is constructed. This strategy is the saturated version of a linear feedback control, obtained from the solution of an auxiliary linear-quadratic differential game with cheap controls. This strategy is evaluated by Monte-Carlo simulation of the interception with noisy measurements.

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    Bibliographic Info

    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

    Volume (Year): 07 (2005)
    Issue (Month): 01 ()
    Pages: 1-24

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    Handle: RePEc:wsi:igtrxx:v:07:y:2005:i:01:p:1-24

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    Keywords: Interception problem; differential game of pursuit; maximal capture zone; saturation; continuous feedback control; chattering; Subject Classification: 91A24 (49N75); Subject Classification: 91A23 (49N70);

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