Question

a) A control system is represented by a differential equation as shown below: \(2\frac{d^2y}{dt^2} + 3\frac{dy}{dt} + y(t) = \frac{du}{dt}\) Where the initial conditions are: y(0) = 0, \(\frac{dy}{dt}(0) = 0\). Obtain the time response of the system, y(t) if input to the control system, u(t) is unity step input.

          a) A control system is represented by a differential equation as shown below:
\(2\frac{d^2y}{dt^2} + 3\frac{dy}{dt} + y(t) = \frac{du}{dt}\)
Where the initial conditions are: y(0) = 0, \(\frac{dy}{dt}(0) = 0\). Obtain the time response of the system,
y(t) if input to the control system, u(t) is unity step input.

a) A control system is represented by a differential equation as shown below:
2(d^2y)/(dt^2) + 3(dy)/(dt) + y(t) = (du)/(dt)
Where the initial conditions are: y(0) = 0, (dy)/(dt)(0) = 0. Obtain the time response of the system,
y(t) if input to the control system, u(t) is unity step input.

Added by Barbara L.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

06/12/2023

Step 1

The given differential equation can be rewritten as: d^2y/dt^2 + dy/dt + 3y = p(t) Show more…

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a) A control system is represented by a differential equation as shown below d2y.dy du +3 +yt= dt2 p. dt Where the initial conditions are: y(0) = 0, dy (0) = 0. Obtain the time response of the system, y(t) if input to the control system, u(t) is unity step input.