Final answer:
The student's question pertains to using MATLAB to generate step responses for two transfer functions, manually calculating key parameters from the plots, and comparing these with results from MATLAB's stepinfo command. These parameters include the percent overshoot, 5% settling time, and rise time, which are critical in assessing the stability and performance of control systems.
Step-by-step explanation:
The question involves analyzing the step responses of two given transfer functions, G1=(S+10)(S^2+10s+100)/2000 and G2=(S+10)^3/2000, using MATLAB. To compare the percent overshoot, 5% settling time, and rise time, MATLAB's stepinfo command can be used. Moreover, the same parameters must be calculated from the data plotted on the MATLAB graphs to compare with the stepinfo command results.
First, you would input the transfer functions into MATLAB and use the step command to plot their step responses. Percent overshoot is an indicator of the stability of the system - it measures how much the output exceeds the steady-state value before settling down. Settling time is the time taken for the system response to fall within a certain percentage (typically 2% or 5%) of the steady-state value. Rise time is the time taken for the system response to go from 10% to 90% of its steady-state value.
After obtaining the step response plots, you can inspect these plots for the required data to manually calculate the parameters. As a last step, you would use the stepinfo command in MATLAB to get the parameters automatically and then compare them to your manual calculations.