We can use the root-locus technique to design appropriate controllers that can improve steady-state or transient response of a dynamic system. To demonstrate this, consider the following simple open loop system: R(s) C(s) (s+s+2)+4) G(s) Determine the steady-state system response, overshoot and setline time in response to a unit step input a) b) Now consider a proportional controller as shown in figure below and draw the root-locus (use Matlab if preferred) for this system as a function of K. Show the effect of varying K on the steady-state, overshoot and settling time. R(s) G(s)

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