Let’s analyze the stability of a first-order system with a proportional controller using Bode Plot method. The process has a time constant of 10 seconds, and the proportional controller gain is 
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The transfer function of the process under control is:
![\[ P(s) = \frac{1}{10s + 1} \]](https://www.solved-problems.com/wp-content/ql-cache/quicklatex.com-20cd4548b46aa28be376907e4813c883_l3.png "Rendered by QuickLaTeX.com")
The transfer function of the open-loop system is:
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