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The characteristic polynomial of a feedback control
Chapter 8, Problem 8(choose chapter or problem)
The characteristic polynomial of a feedback control system, which is the denominator of the closed-loop transfer function, is given by \(s^3+2 s^2\) + (20 K + 7) s + 100 K. Sketch the root locus for this system. [Section: 8.8]
Questions & Answers
QUESTION:
The characteristic polynomial of a feedback control system, which is the denominator of the closed-loop transfer function, is given by \(s^3+2 s^2\) + (20 K + 7) s + 100 K. Sketch the root locus for this system. [Section: 8.8]
ANSWER:Step 1 of 4
Consider the closed loop transfer function is,
The required equation is,
Consider the characteristic equation is,
Determine the value of open loop pole as,
Since, the open loop is zero then,
Hence, the number of pole is 3 and the number of zero is 1.