1. What is Steady State Error for Type 1 System?

Steady State Error means a system whose open loop transfer function has no pole at origin. For Type 1 systems, the steady state error for a ramp input is calculated using the velocity error constant.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( e_{ss} \) — Steady State Error
• \( A \) — Coefficient Value
• \( K_v \) — Velocity Error Constant

Explanation: The formula calculates the steady state error by dividing the coefficient value by the velocity error constant of the system.

3. Importance of Steady State Error Calculation

Details: Calculating steady state error is crucial for analyzing system performance, ensuring accuracy, and designing control systems that meet specific performance requirements.

4. Using the Calculator

Tips: Enter the coefficient value and velocity error constant. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a Type 1 system?
A: A Type 1 system has one pole at the origin in its open-loop transfer function, which provides zero steady state error for step inputs but finite error for ramp inputs.

Q2: What is Velocity Error Constant (Kv)?
A: Velocity Error Constant is a measure of a system's ability to track ramp inputs. It is defined as the limit of s times the open-loop transfer function as s approaches zero.

Q3: When should this calculation be used?
A: This calculation is used in control system analysis to determine the steady state error for ramp inputs in Type 1 systems.

Q4: What are typical values for steady state error?
A: For good system performance, steady state error should be as small as possible. The acceptable value depends on the specific application requirements.

Q5: Can this formula be used for other system types?
A: No, this specific formula applies only to Type 1 systems. Different system types have different formulas for calculating steady state error.