A cross lapper is a machine that takes as an input a light fiber fabric and produces a heavier fabric by laying the original fabric in layers rotated by 90 degrees. A feedback system is required in order to maintain consistent product width and thickness by controlling its carriage velocity. The transfer function from servomotor torque, Tm(s), to carriage velocity, Y(s), was developed for such a machine (Kuo, 2008). Assume that the transfer function is:

a. Use MATLAB to find the partial fraction residues and poles of G(s).

b. Find an approximation to G(s) by neglecting the second-order terms found in a.

c. Use MATLAB to plot on one graph the step response of the transfer function given above and the approximation found in b. Explain the differences between the two plots.

Transcribed Image Text:

33s + 202s3 + 10061s? + 24332s+ 170704 Y(s) G(s) = T(S) S + 8s + 464s + 2411s+ 52899s + 167829s +913599s+ 1076555