A human responds to a visual cue with a physical response, as shown in Figure P 4.11. The transfer function that relates the output physical response, P(s), to the input visual command, V(s), is (Stefani, 1973).

Do the following:

a. Evaluate the output response for a unit step input using the Laplace transform.

b. Represent the transfer function in state space.

c. Use MATLAB to simulate the system and obtain a plot of the step response.

P(s) (s + 0.5) G(s) = V(s) (s+ 2)(s+ 5)