State Space model for mechanical system

Discussion in 'Homework Help' started by Current_Source, Jan 12, 2016.

  1. Current_Source

    Thread Starter New Member

    Dec 10, 2015
    16
    0
    Hello!

    I am trying to solve the following problems:

    Consider a machine whose mass m is supported by a na anti-vibration support with an damping coefficient b. When in operation the drivetrain, of negligible mass, causes a displacement u on the rod, with an elastic coefficient K, according to the scheme shown in Figure.
    system.PNG


    Taking as system output the displacement x of the equipment find a state space model for the system.
    For this I got
    equations_1.PNG


    Therefore I for the following matrixes:

    equation_2.PNG
    Is this correct?


    Now I would like tocalculate a regulator with state feedback by placing the poles of the system in -1 and -2. Trace the respective block diagram.

    Can anyone give an explanation on how can I calculate this? I was able to came up with the following diagram
    scheme.PNG

    Thanks
     
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