Question B.9.2: (Example 9.4) We can use MATLAB to design a lead compensator...

Control Systems Engineering [EXP-57621]

(Example 9.4) We can use MATLAB to design a lead compensator. The program allows us to input a desired percent overshoot via the keyboard. MATLAB then produces a root locus for the uncompensated system with an overlay of the percent overshoot line. We interactively select the intersection of the root locus and the desired percent overshoot line to set the gain. MATLAB outputs an estimate of the uncompensated system’s performance specifications and a step response of the uncompensated system for us to determine the required settling time. Next we input the settling time and the lead compensator zero through the keyboard. At this point we take a different approach from that of the previous example. Rather than letting MATLAB calculate the lead compensator pole directly, MATLAB produces a root locus for every interactive guess of a lead compensator pole. Each root locus
contains the desired damping ratio and natural frequency curves.When our guess is correct, the root locus, the damping ratio line, and the natural frequency curve will intersect. We then interactively select this point of intersection to input the gain. Finally, MATLAB produces an estimate of the lead-compensated system’s performance specifications and a step response of the lead-compensated system.

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