1. [10 pts] The Z transform transfer function relating W(z) to the input U(z) for T = 0.02 and u(t) piecewise constant is shown below. What is the discrete time solution to this differential equation? $W(z) = \frac{0.1177z^2 + 0.1083z - 0.0743}{z^3 - 2.432z^2 - 1.878z + 0.8869}U(z)$
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To do this, we can use the inverse Z transform. However, the given transfer function is not in a form that can be easily inverted. Show more…
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