Question

a) Laplace Transform (10 marks) The transfer function of the system given by the block diagram as in figure 1. [Block Diagram] x(t) + [Summing Junction] -> [e^{-t}u(t)] -> [e^{-3t}u(t)] -> [Summing Junction] -> y(t) - [Feedback Path: 2 cos(2t) u(t)] + [Parallel Path: u(t)] Figure 1 Using Laplace transform: i) Determine the transfer function of the system. ii) Compute the output response where the input, x(t) = 4u(t), and x(t) = 3?(t) with no initial energy in the system.

          a) Laplace Transform (10 marks)

The transfer function of the system given by the block diagram as in figure 1.

[Block Diagram]
x(t) + [Summing Junction] -> [e^{-t}u(t)] -> [e^{-3t}u(t)] -> [Summing Junction] -> y(t)
- [Feedback Path: 2 cos(2t) u(t)]
+ [Parallel Path: u(t)]

Figure 1

Using Laplace transform:

i) Determine the transfer function of the system.
ii) Compute the output response where the input,
x(t) = 4u(t), and x(t) = 3?(t)
with no initial energy in the system.

a) Laplace Transform (10 marks)

The transfer function of the system given by the block diagram as in figure 1.

[Block Diagram]
x(t) + [Summing Junction] -> [e^-tu(t)] -> [e^-3tu(t)] -> [Summing Junction] -> y(t)
- [Feedback Path: 2 cos(2t) u(t)]
+ [Parallel Path: u(t)]

Figure 1

Using Laplace transform:

i) Determine the transfer function of the system.
ii) Compute the output response where the input,
x(t) = 4u(t), and x(t) = 3?(t)
with no initial energy in the system.

Added by Pilar H.

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