Week 05

Steady-State Error

I follow the saved course materials and calculations from modeling through stability, root locus, and frequency response.

Automatic Control course visual
Course visual for this study sequence.

What I connect in this unit

Steady-state error depends jointly on feedback system type and reference shape. The number of open-loop poles at the origin changes step and ramp tracking, and error constants connect that structure to the final-value result.

Concept map

  1. System type
  2. Error constants
  3. Step and ramp inputs
  4. Final value theorem

Technical anchor

For unity feedback, start with ess=lim(s→0) sE(s), then apply Kp=lim G(s) or Kv=lim sG(s) according to the input. The final value theorem is valid only when the required closed-loop poles are stable.

How I review it

Form error expressions for step and ramp inputs on the same loop, then check that the system-type rule and direct limit calculation agree.

Connection to the full course

Unit 5 of 12. Unit numbers organize the concepts found in the materials and do not reproduce an attendance schedule.

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