Page 174 - Practical Control Engineering a Guide for Engineers, Managers, and Practitioners
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An Underda•ped Process 149
F1auRE 6-5 Effect of friction on dashpot dynamics.
6-2 Solutions In Four Domains
6·2·1 Time Domain
As is our usual approach, we could attempt to solve Eq. (6-3) by try-
ing a solution for the homogeneous part of the form:
Yh =Ce"'
This would generate a quadratic equation for a, which would
lead to a homogeneous solution that had two exponential terms. For
the time being this approach will be sidestepped.
6·2·2 Laplace Domain Solution
Alternatively, let's go directly to the Laplace domain and take the
Laplace transform of Eq. (6-3), as in
(6-5)
