Question

Find the open-loop transfer function, y(s)/r(s) = b(s)/a(s). Find the closed-loop transfer functions g(s) and h(s) where y(s)/r(s) = g(s)/(1 + g(s)h(s)).

Answer 1

To find the closed-loop transfer functions g(s) and h(s), we use the formula y(s)/r(s) = g(s)/(1 + g(s)h(s)).

Step-by-step explanation:

The open-loop transfer function, y(s)/r(s) = b(s)/a(s), represents the transfer function of a system without any feedback. To find the closed-loop transfer functions g(s) and h(s), we use the formula y(s)/r(s) = g(s)/(1 + g(s)h(s)).

We can rewrite the equation as g(s) = y(s)/r(s) / (1 - y(s)/r(s)).

To find h(s), we need to determine the transfer function of the feedback path. In this case, h(s) = 1.