Proportional control, Integral control

AI Thread Summary
Proportional control (P control) and integral control (I control) are key concepts in control theory, where 'a' represents proportional gain and 'b' represents integral gain. A small change in proportional gain can lead to significant variations in system output, indicating the sensitivity of the system to this parameter. For proper nomenclature, terms like "gain" and "system output" are commonly used in control theory literature. Recommended resources for studying these concepts include textbooks on control systems and engineering principles. Understanding these fundamentals is essential for effective system management and optimization.
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I want to know the proper nomenclature about control theory.

Problem is below.

" There is the system, which is controlled by P control or I control (anything is Ok.) where a is proportional gain and b is integral gain. When proportional gain, a is slightly changed, system output is big different. "

What is the proper nomenclature or name?
Which book is helpful for studying?
 
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Could you explain what 'system output is big different' means?
 

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