A find the closed-loop transfer function ysrs when gs 10 s2

Question

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).

Answer 1

By considering the diagrams illustrated in the assignment, respond to the following questions. Question 1: For the system below: a) Determine the closed-loop transfer function Y(s)/R(s) when G(s) =10/ (s2 + 4s-5) b) Find out Y(s) if the input R(s) is the Dirac delta function. c) Calculate y(t) d) Plot the Poles and Zeros of system. Question 2: Simplify the block diagram illustrated in the figure below and get the closed loop transfer function. Check your solution by using by implementing the gain formula to block diagrams (employing the forward path gains and loops gains.) Question 3: Think about the system illustrated by the state-space equations below. Determine the transfer function. Question 4: Get a state-space representation of the system below. Question 5: A mass system ins illustrated below. Find out the state variable representation whenever the input is the force f(t) and the output variables are y1(t) and y2(t).