As an important class of nonlinear system, polytopic bilinear system is investigated. Combined with the properties of convex polytope, the nonlinear control for polytopic bilinear system is formulated by synthesizing nonlinear H∞ controller which is designed for polytopic bilinear system at vertices. For a semi-active suspension system with controllable damping and variant stiffness elements, it is easily modeled as a polytopic bilinear system model. In this case, the desired nonlinear control properties are pursued in making effective use of the changeable damping property while the variant stiffness is taken as the affine parameter of polytopic model. Therefore, polytopic bilinear system model could be reduced to a feasible problem by polytopic convex decomposition. Then the control problem of bilinear system model is to find a solution of nonlinear H∞ control. Here, the merits in using nonlinear H∞ state feedback control are that it can confine the damping force output to 1st and 3rd phase planes where changeable damping force is produced and its nonlinear control output makes a fast state origin convergence in keeping small vibration and motion. In this paper, a practical control design demonstration for a polytopic bilinear suspension system is described after the theory description. The simulation study and experimental results demonstrate the effective control performance in improving ride comfort.


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    Title :

    Polytopic topic Bilinear System Modeling and Nonlinear H∞ Control Design for Semi-Active Suspension System


    Additional title:

    Sae Technical Papers


    Contributors:

    Conference:

    SAE 2001 Noise & Vibration Conference & Exposition ; 2001



    Publication date :

    2001-04-30




    Type of media :

    Conference paper


    Type of material :

    Print


    Language :

    English




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