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For a type one system, the steady-state error due to step input is equal to
- a)zero
- b)0.75
- c)infinite
- d)0.50
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
For a type one system, the steady-state error due to step input is equ...
where,
(Here, A = magnitude of step input) Since system is type -1, therefore Kp = ∞
∴
Most Upvoted Answer
For a type one system, the steady-state error due to step input is equ...
Understanding Type One Systems
In control system theory, a Type One system is characterized by having one integrator in its open-loop transfer function. This integrator impacts the system's response to inputs, particularly steady-state errors.
Steady-State Error Explained
- Definition: Steady-state error is the difference between the desired output and the actual output of a system as time approaches infinity.
- Input Types: The system's response varies based on the type of input:
- Step Input
- Ramp Input
- Parabolic Input
Steady-State Error for Step Input
- For Type One Systems: The steady-state error for a step input is determined using the position error constant (Kp).
- Calculation: For a Type One system:
- Kp = limit as s approaches 0 of G(s), where G(s) is the open-loop transfer function.
- For step input, the steady-state error (ess) is given by:
ess = 1 / (1 + Kp)
- Result: Since Kp is infinite for a Type One system, the formula simplifies to:
ess = 1 / (1 + ∞) = 0
Conclusion
The steady-state error for a Type One system in response to a step input is indeed zero. This characteristic makes Type One systems highly effective for tracking constant reference inputs without error, ensuring precise control in various applications. Thus, option 'A' is the correct answer.
In control system theory, a Type One system is characterized by having one integrator in its open-loop transfer function. This integrator impacts the system's response to inputs, particularly steady-state errors.
Steady-State Error Explained
- Definition: Steady-state error is the difference between the desired output and the actual output of a system as time approaches infinity.
- Input Types: The system's response varies based on the type of input:
- Step Input
- Ramp Input
- Parabolic Input
Steady-State Error for Step Input
- For Type One Systems: The steady-state error for a step input is determined using the position error constant (Kp).
- Calculation: For a Type One system:
- Kp = limit as s approaches 0 of G(s), where G(s) is the open-loop transfer function.
- For step input, the steady-state error (ess) is given by:
ess = 1 / (1 + Kp)
- Result: Since Kp is infinite for a Type One system, the formula simplifies to:
ess = 1 / (1 + ∞) = 0
Conclusion
The steady-state error for a Type One system in response to a step input is indeed zero. This characteristic makes Type One systems highly effective for tracking constant reference inputs without error, ensuring precise control in various applications. Thus, option 'A' is the correct answer.
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For a type one system, the steady-state error due to step input is equal toa)zero b)0.75c)infinite d)0.50Correct answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about For a type one system, the steady-state error due to step input is equal toa)zero b)0.75c)infinite d)0.50Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a type one system, the steady-state error due to step input is equal toa)zero b)0.75c)infinite d)0.50Correct answer is option 'A'. Can you explain this answer?.
For a type one system, the steady-state error due to step input is equal toa)zero b)0.75c)infinite d)0.50Correct answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about For a type one system, the steady-state error due to step input is equal toa)zero b)0.75c)infinite d)0.50Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a type one system, the steady-state error due to step input is equal toa)zero b)0.75c)infinite d)0.50Correct answer is option 'A'. Can you explain this answer?.
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