Order & Poles: Basics of Control Engineering

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SUMMARY

The order of a control system is defined as the total number of poles, which includes both those at the origin and elsewhere. This classification is crucial for interpreting system responses and designing control systems. The transfer function format, specifically the representation Nu/s^m*(s+a)(s+b), serves to highlight the significance of poles at the origin, impacting system behavior. Understanding this concept is essential for effective control engineering practices.

PREREQUISITES
  • Control system fundamentals
  • Transfer function representation
  • Poles and zeros in control theory
  • System response analysis
NEXT STEPS
  • Study the implications of pole placement in control systems
  • Learn about the stability criteria for control systems
  • Explore the design of PID controllers
  • Investigate the role of zeros in system response
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Control engineers, students in control engineering courses, and professionals involved in system design and analysis will benefit from this discussion.

dhruv.tara
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Homework Statement


In control engg. we define the order of the system as (or atleast as far as I have understood as) Nu/s^m*(s+a)(s+b)...

I cannot understand the base for such classification? Why are we classifying systems based on the number of poles they have on origin?


Homework Equations





The Attempt at a Solution

 
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No, the order of the system is the number of poles (at the origin and elsewhere).
 
CEL is correct.

Something to add however is the way you have written the transfer function - it's done for a purpose. In controls seeing how many poles are at the origin, you're s^m part of the denomenator, has many ramifications that can be crucial when interpreting a system response or designing for one. So in seeing, and perhaps formatting a transfer function in this fashion, it is an aesthetic move but can make things easier.
 
thanks guys I was confusing myself with the order and type of the system... good I could get that clear just in time :)
 

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