SPRING 2000

Laboratory-4 ( Homework5)

ROOT LOCUS ANALYSIS

TOPIC 1 : ROOT LOCUS using MATLAB LTIVIEW
                             (V.Bahl, Spring '99)

TOPIC 2 : ROOT LOCUS  with GRAPHICAL USER INTERFACE
                          (Chandra Singavarapu, Spring '00)

An unstable first–order process, with transfer function g(s) = 2/ (s-4) is to be controlled using a PI controller with G = 1

1. Use a root locus plotting diagram to obtain a root locus diagram for the closed- loop system. From this diagram, specify the range of K_c values for which the closed-loop system is stable, and the frequency of oscillation when the system is on the verge of instability.
2. Confirm analytically the graphical results obtained in part (a)