The car speed cruise control Input-Output model is given by [dot{v}+frac{b}{m} v=frac{b}{m} v_{r},] for a step input
Question:
The car speed cruise control Input-Output model is given by
\[\dot{v}+\frac{b}{m} v=\frac{b}{m} v_{r},\]
for a step input \(v_{r}(t)\). The car speed response was obtained by the direct time domain determination as
\[v(t)=v_{r}\left[1-e^{-\frac{b}{m} t}ight] .\]
Show that the Laplace transforms method produces the same result.
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The same response can be obtained using Laplace transforms as follows ...View the full answer
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Related Book For
Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution
ISBN: 9781032718804
2nd Edition
Authors: Arthur G O Mutambara
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