Consider the unity feedback negative system with an open-loop function G(s)= K (s^2+10s+24)/(s^2+3s+2). a. Plot the...

Consider the unity feedback negative system with an open-loop function G(s)= K (s^2+10s+24)/(s^2+3s+2).

a. Plot the locations of open-loop poles with X and zeros with O on an s-plane.

b. Find the number of segments in the root locus diagram based on the number of poles and zeros.

c. The breakaway point (the point at which the two real poles meet and diverge to become complex conjugates) occurs when K = 0.02276. Show that the closed-loop system has repeated poles for this K.

d. The break-in point (the point at which the complex conjugate poles meet and diverge to become real) occurs when K = 10.97. Show that the closed-loop system has repeated poles for this K.

e. Find the poles of the closed-loop system when K = 6.

f. Sketch the two segments of the root locus.

g. Check your work using MATLAB. It is not necessary to submit the output.

Expert Solution

Manojponduru answered 1 year ago

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