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Consider another case where the root loci for the plant, one for which the propo...

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Consider another case where the root loci for the plant, one for which the proportional gain k_p=2k_p=2 and the integral gain k_ik_i is used as the loop gain (on the left), as well as for which k_i=2k_i=2 and k_pk_p is used as the loop gain (on the right), are both given in figures below.

Image failed to load: Root locus of the plant with PI controller, fixed Kp and tunable Ki.
 
Image failed to load: Root locus of the plant with PI controller, fixed Ki and tunable Kp.

You are also given these information about the root locus plots:

  • the branching point for the root locus on the left has the branching point at loop gain of 4.44, and
  • the branching point for the root locus on the right has the branching point at loop gain of 1.

As an engineer from Monash Control Design Solutions, you are tasked by your client to design the controller based on the following specified requirements. Match the requirements with design choices you are most likely to make in order to satisfy the design goals. Any design choice can only be matched to a requirement at most.

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