







given a system in factored transfer function form.





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State-Space Representation of Mass-Spring System



The measurable quantity is the acceleration, $y=\ddot{w}$, and $u(t)$ is the driving force. In Laplace space, the system is represented by


The system has unit gain, a double zero at $s=0$, and two complex-conjugate poles.

z = [0 0];
p = roots([1 0.01 1])
k = 1;
p =

  -0.0050 + 1.0000i
  -0.0050 - 1.0000i

Use zp2ss to find the state-space matrices.

A =

   -0.0100   -1.0000
    1.0000         0

B =


C =

   -0.0100   -1.0000

D =


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See Also

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Introduced before R2006a

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