This paper develops linear fractional representations for uncertain flexible structures with non-collocated piezoelectric actuators and sensors in the modal space, taking into account uncertainties due to modal parameters variation and un-modeled residual high-frequency modes. Using linear matrix inequality, a dynamic output feedback controller is designed to suppress the vibration due to external disturbances by setting an upper bound on H-infinity norm from the disturbances to given performance outputs. In order to achieve a specified decay rate and damping ratio in all controlled modes, and achieve the desired dynamic response, closed-loop poles of the uncertain system are placed in the desired region. Finally, robust H-infinity method with uncertain poles assignment is compared with robust H-infinity method by a simple example. The simulation results show that, without obviously scarifying state-steady characteristics of the system, excellent dynamic response can be obtained by considering uncertain poles assignment in robust H-infinity vibration control.


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    Title :

    Robust vibration control of uncertain flexible structures with poles placement


    Contributors:
    Yalan Xu, (author) / Jianjun Chen, (author) / Xiaobing Wang, (author)


    Publication date :

    2006-01-01


    Size :

    2951924 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English





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