This paper addresses the robust control problem of spacecraft body-fixed hovering near a noncooperative target in the presence of parametric uncertainties and disturbances. A closed-form nonlinear robust $H_{\infty }$ controller constructed by the solution of Hamilton–Jacobi–Isaacs (HJI) inequality is designed, which can stabilize the closed-loop system with the $H_{\infty }$ performance. To obtain the solution of HJI, an effective numerical approximation approach called the modified $\theta \text{--}D$ method is proposed, which can obtain a numerical approximation solution of HJI by only solving one algebraic Riccati inequality and several Lyapunov equations rather than a partial differential inequality. The detailed numerical calculation processes of solving the HJI are presented, which shows that the modified $\theta \text{--}D$ method can be implemented offline with less computational burden. Finally, the effectiveness of the designed robust control scheme is demonstrated via a numerical example.


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    Title :

    Nonlinear Robust $H_{\infty }$ Control for Spacecraft Body-Fixed Hovering Around Noncooperative Target Via Modified $\theta -D$ Method


    Contributors:
    Huang, Yi (author) / Jia, Yingmin (author)


    Publication date :

    2019-10-01


    Size :

    1548297 byte




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



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