4.4 Examples

4.4.1 Example

Consider a unit step response of an unknown control system as shown. Find the system step response specifications. HINT: Read the required values from the plot, then compute the specifications.

4.4.2 Example

Consider the system described by a transfer function below. Find the system step response specifications.

[latex]G(s) = \frac{20}{s^{2} + 2s + 25}[/latex]

HINT: Simulate the system step response in MATLAB, plot it and read off the plot the required values.

4.4.3 Example

Consider the system described by a transfer function below. Find the system step response specifications.

[latex]G(s) = \frac{55}{s^{2} + 5s + 60}[/latex]

HINT: Simulate the system step response in MATLAB, plot it and read off the plot the required values.

4.4.4 Example

Consider the response of a certain control system to a unit reference signal, shown below. Read off transient (i.e. percent overshoot, rise time, etc.) as well as steady state specifications.