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Frequency Response Analysis in Modern Control Systems

This document explores the principles of frequency response in modern control systems, focusing on logarithmic properties and their applications. Key logarithmic rules are detailed, including the logarithm of products and quotients. Additionally, it presents graphical representations of the tangent function versus its angle and the arctangent function versus its input, facilitating a deeper understanding of these mathematical relationships in control system analysis.

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Frequency Response Analysis in Modern Control Systems

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  1. Modern Control SystemEKT 308 Frequency Response (contd…)

  2. Log Rules: 1) logb(mn) = logb(m) + logb(n) 2) logb(m/n) = logb(m) – logb(n) 3) logb(mn) = n · logb(m)

  3. Plot of tan(theta) versus theta Plot of atan(x) versus x

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