Problem

A unity negative feedback loop has the loop transfer functionWe know from the underlying p...

A unity negative feedback loop has the loop transfer function

We know from the underlying physics of the problem that the parameter a can vary only between 0 < a < 1. Develop an m-file script to generate the following plots:

(a) The steady-state tracking error due to a negative unit step input (i.e., R(s) = −l/.s) versus the parameter a.

(b) The maximum percent initial undershoot (or over­shoot) versus parameter a.

(c) The gain margin versus the parameter a.

(d) Based on the results in parts (a)-(c), comment on the robustness of the system to changes in para­meter a in terms of steady-state errors, stability, and transient time response.

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