Transfer function and state-space representation

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A first-order dynamic system is represented by the differential equation

The corresponding transfer function and state-space representation are

Consider the block diagram in Figure 3.43 for Problems 12 through 14:

Problems 12

The effect of the input R(s) and the disturbance Td(s) on the output Y(s) can be considered independently of each other because:

a. This is a linear system, therefore we can apply the principle of superposition.

b. The input R(s) does not influence the disturbance Td(s).

c. The disturbance Td(s) occurs at high frequency, while the input R(s) occurs at low frequency.

d. The system is causal.

Reference no: EM131125745

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