Constructing Root Locus

1.	Constructing Root Locus
Answer» Constructing Root Locus: • Locate the OL poles & zeros in the plot • Find the branches on the real axis • Find angle of asymptotes & centroid • Φ a= ±180º(2q+1) / (n‐m) • σa = (Σ poles – Σ zeroes) / (n‐m) • Find BA and BI points • Find Angle Of departure (AOD) and Angle Of Arrival (AOA) • AOD = 180º‐ (sum of angles of vectors to the complex pole from all other poles) + (Sum of angles of vectors to the complex pole from all zero) • AOA = 180º‐ (sum of angles of vectors to the complex zero from all other zeros) + (sum of angles of vectors to the complex zero from poles) • Find the point of intersection of RL with the imaginary axis.

Answer»

Constructing Root Locus:

• Locate the OL poles & zeros in the plot

• Find the branches on the real axis

• Find angle of asymptotes & centroid

• Φ a= ±180º(2q+1) / (n‐m)

• σa = (Σ poles – Σ zeroes) / (n‐m)

• Find BA and BI points

• Find Angle Of departure (AOD) and Angle Of Arrival (AOA)

• AOD = 180º‐ (sum of angles of vectors to the complex pole from all other poles) +

(Sum of angles of vectors to the complex pole from all zero)

• AOA = 180º‐ (sum of angles of vectors to the complex zero from all other zeros) + (sum of angles of vectors to the complex zero from poles)

• Find the point of intersection of RL with the imaginary axis.

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