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How can the steady state error can be reduced?

  • a)
    By decreasing the type of the system

  • b)
    By increasing the input 

  • c)
    By decreasing the static error constant

  • d)
    By increasing system gain

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
How can the steady state error can be reduced?a)By decreasing the type...


From the above table, it is clear that for type – 1 system, a system shows zero steady-state error for step-input, finite steady-state error for Ramp-input and ∞ steady-state error for parabolic-input.


As the type of the system increases, the steady-state error decreases.


The steady-state error is inversely proportional to the gain. Therefore, it can be reduced by increasing the system gain.
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Most Upvoted Answer
How can the steady state error can be reduced?a)By decreasing the type...
To understand why increasing the input can reduce the steady-state error, let's first define what steady-state error is. In control systems, steady-state error refers to the difference between the desired output and the actual output of a system after it has reached a stable condition. It indicates how well the system is tracking the desired response or following the given input.

The steady-state error is influenced by various factors, such as the type of the system, system gain, and static error constant. However, in this question, the correct answer is option 'D' - by increasing the input. Let's explore why this is the case.

When the input to a control system is increased, it directly affects the output of the system. By increasing the input, the system is driven to produce a larger output response. This can help reduce the steady-state error as the system tries to match the increased input with a higher output.

Here's a detailed explanation of why increasing the input can reduce the steady-state error:

1. Relationship between input and output:
- In a control system, the output is determined by the input and the system's transfer function or characteristics.
- Increasing the input increases the magnitude of the output response of the system.

2. Steady-state error and input-output relationship:
- The steady-state error is the difference between the desired output and the actual output.
- By increasing the input, the output of the system tends to increase as well.
- As the output gets closer to the desired output due to the increased input, the steady-state error decreases.

3. Importance of system linearity:
- The reduction in steady-state error by increasing the input is more effective in linear systems.
- Linear systems exhibit a proportional relationship between the input and output.
- In such systems, the steady-state error decreases linearly with the increase in input.
- Nonlinear systems may not exhibit the same behavior, and the relationship between input and output can be more complex.

4. Saturation and limitations:
- It's important to consider the limitations of the system when increasing the input.
- If the output of the system reaches its maximum limit or saturation point, further increasing the input may not reduce the steady-state error.
- Saturation occurs when the system output cannot increase beyond a certain value, regardless of the input magnitude.

In summary, increasing the input can help reduce the steady-state error by driving the system to produce a larger output response. However, it is essential to consider the limitations and linearity of the system to ensure the effectiveness of this approach.
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How can the steady state error can be reduced?a)By decreasing the type of the systemb)By increasing the inputc)By decreasing the static error constantd)By increasing system gainCorrect answer is option 'D'. Can you explain this answer?
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