In Example 5 assume that in order to control oscillations
Chapter 7, Problem 40E(choose chapter or problem)
In Example 5 assume that in order to control oscillations a component of torque proportional to e’(t), but opposite in sign, is also fed back to the steering shaft. Show that equation (17) is now replaced by where ? is a positive constant. Determine the error e(t) for the automatic pilot with mild damping (i.e., if the steering shaft is initially at rest in the zero direction and the desired direction is given by g(t) = a, where a is a constant.Determine the error e(t) for the automatic pilot if the steering shaft is initially at rest in the zero direction and the desired direction is given by g(t) = at where a is a constant.
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