Answer Happy

The transfer function for the dynamics of a particular system is given by 7 G(s) = (s + 2)2 To accurately track at least constant step inputs ya(t), you initially decide to try an integral control strategy with H(s) = K/s. Use MATLAB® to generate the root locus using the rlocus.n command. a.) Use the data cursor in the plot window (although you could more accurately call the function with output arguments and either specify a fine grid of gains or interpolate the result) to find the approximate value of K for which the closed-loop system will have poles with a damping ratio of V2/2. What would you approximate the corresponding settling time to a step input to be? b.) Find the largest value of K for which the closed-loop system will be stable. How does the point at which the locus intersects the imaginary axis relate to the margin/crossover characteristics of L(jw)?