Controller Design Check with Matlab of Python - Engineering Assignment Help

Assignment Task:

TASK:

1. (5 points) For the unity feedback system, where M(s) = K(s + 2)(s + 6)(s + 10) s 2 (s + 3)(s + 7) , find the value of K to yield a static error e(∞) constant of 10000.

\2. For the closed-loop transfer function L(S) = K(s + 5) s 2 − 4s + 13 (a) (2 points) Sketch the root locus (b) (3 points) Calculate the imaginary-axis crossing (c) (6 points) Calculate K at the imaginary-axis crossing (d) (8 points) Calculate the break-in point (e) (1 punt) Calculate the angle of departure from the complex poles

3. (2 points) Briefly describe how the zeros of the open-loop system affect the root locus and the transient response.

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