Step response time of control system

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Discussion Overview

The discussion revolves around understanding the concept of step response time in the context of a temperature control process, specifically regarding its implications for selecting a temperature sensor. The inquiry is framed within a homework problem related to control systems.

Discussion Character

  • Homework-related
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant questions the definition of step response time, suggesting it may refer to the time the process reaches its maximum value.
  • Another participant proposes that step response time is the duration it takes for the system to reach steady state within 10%, referring to it as settling time.
  • Additional attributes of step response, such as rise time and percent overshoot, are mentioned as part of the broader discussion.
  • A participant expresses agreement with the proposed solution regarding the calculation of the time constant based on the step response time.
  • One participant acknowledges the assistance received from others, indicating an improved understanding of the topic.

Areas of Agreement / Disagreement

The discussion reflects some agreement on the definition of step response time, but there are variations in how it is interpreted and applied, particularly regarding its relationship to the time constant and other attributes of system response. No consensus is reached on a singular definition or application.

Contextual Notes

Participants express uncertainty about the precise definition of step response time and its implications for sensor selection. There are references to related concepts that may not be fully resolved within the discussion.

Who May Find This Useful

Students and professionals interested in control systems, particularly those studying temperature control processes and sensor selection criteria.

kampftrimker
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Homework Statement


I'm having a slight problem with the question below.

A temperature control process has a first-order response with a step response time of 12 seconds. In selecting a temperature sensor for the control system for the process, for what maximum value of sensor time-constant would you be looking?

My question is what is step response time?


Homework Equations





The Attempt at a Solution



Is it the time the process reaches its maximum value, if so then would the time constant (of the process) be
t = 12/5 =2.4 s

Thanks
Mick
 
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cpscdave said:
Take a look at: http://en.wikipedia.org/wiki/Step_response

If I recall correctly step response is the amount of time that the system takes to reach its steady state (within 10%).

That is the settling time of the step response.

The step response is how a system responds to an instantaneous change in input.

there are a few other attributes of a step response such as rise time and percent overshoot.
 
kampftrimker said:

Homework Statement


I'm having a slight problem with the question below.

A temperature control process has a first-order response with a step response time of 12 seconds. In selecting a temperature sensor for the control system for the process, for what maximum value of sensor time-constant would you be looking?

My question is what is step response time?


Homework Equations





The Attempt at a Solution



Is it the time the process reaches its maximum value, if so then would the time constant (of the process) be
t = 12/5 =2.4 s

Thanks
Mick

I believe your solution is correct
 
Thanks for the replies, they have helped me understand what is going on.

Thanks again

Mick
 

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