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Control system miscellaneous

  1. Consider a simple mass-spring-friction system as given in the figure

    k1 = spring constant f = friction
    M = mass F = force
    x = displacement
    The transfer function
    X(s)
    of the given system will be
    F(s)

    1. 1
      Ms2 + fs + K1.K2
    2. 1
      Ms2 + fs + K1 + K2
    3. 1
      Ms2 + fs +
      K1.K2
      K1 + K2
    4. K2
      Ms2 + fs + K1
Correct Option: B

F = M.
d2x
+ f
dx
+ (K1 + K2)x
dt2dt

∴ F(s) = Ms2 X(s) + f. s X(s) + (K1 + K2) X(s)
X(s)
=
1
F(s)Ms2 + fs + (K1 + K2)



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