Your Question:

QUESTION 10

Select the correct description to describe the response of this second order process to a unit step change.

D. Unstable, exhibiting exponentially increasing output.

Step By Step Answers with Explanation

Step-by-step analysis of the second order process response to a unit step change

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Step 1: Determine the poles and zeros of the transfer function

The poles of the transfer function are located at the roots of the denominator, which are s=−1 and s=0.1. The zeros of the transfer function are located at the roots of the numerator, which is s=0.

• If one pole is in the left half of the s-plane and the other pole is in the right half of the s-plane, the system is marginally stable.

In this case, both poles of the system are in the left half of the s-plane, which means that the system is stable.

• If the damping ratio is greater than 1, the system will exhibit an underdamped response.

To determine the damping ratio of the system, we can use the following equation:

Since the damping ratio is greater than 1, the system will exhibit an underdamped response.

Conclusion:

450-word explanation of the second order process response to a unit step change

A unit step change is a sudden change in the input to a system. For example, a unit step change in the input to a voltage follower circuit would be to suddenly apply a voltage to the input of the circuit.

How does a second order process respond to a unit step change?

Example of a second order process response to a unit step change

Consider the following second order transfer function: