A robotic manipulator together with a cascade PI controller has a transfer

A robotic manipulator together with a cascade PI controller has a transfer function (Low, 2005)

Assume the robot’s joint will be controlled in the configuration shown in Figure P8.3.

a. Find the value of KI that will result in ess = 2% for a parabolic input.

b. Using the value of KI found in Part a, plot the root locus of the system as a function of KP.

c. Find the value of KP that will result in a real pole at -1. Find the location of the other two poles.

 

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