A temperature control system is found to have zero error to a constant tracking input and an error of 0.5°C to a tracking input that is linear in time, rising at the rate of 40°C/sec. What is the system type of this control system and what is the relevant error constant (Kp or Kv or Ka)?

Question

A temperature control system is found to have zero error to a constant tracking input and an error of [latex] 0.5°C [/latex] to a tracking input that is linear in time, rising at the rate of [latex] 40°C/sec. [/latex] What is the system type of this control system and what is the relevant error constant ([latex] K_p ext{ or } K_v ext{ or } K_a [/latex] )?

Accepted Answer

The system is Type [latex] 1 [/latex] and the [latex] K_v [/latex] is the ratio of input rate to error or [latex] K_v = 40/0.5 = 80/sec. [/latex]

Question 4.RQ.6: A temperature control system is found to have zero error to ...

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