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Problem 1: For the system below:
a. Find the closed-loop transfer function Y(s)/R(s) when G(s) =10/ (s2 + 4s-5)
b. Determine Y(s) when the input R(s) is the Dirac delta function
c. Compute y(t)
d. Plot the Poles and Zeros of the system.
Problem 2: Simplify the block diagram shown in the Figure below and obtain the closed loop transfer function. Check your solution using by applying the gain formula to block diagrams (using the forward path gains and loops gains.)
Problem 3: Consider the system described by the state-space equations below. Find the transfer function.
Problem 5: Obtain a state-space representation of the system below.
Problem 6: A mass system ins shown below. Determine the state variable representation when the input is the force f(t) and the output variables are y1(t) and y2(t).
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