EXERCISE $20$

Work on Exercise $11$ again using for loop.

Hint: Define the values of $$ in a vector. Use for loop to cycle through the values of $((k)).$ Save the output $y$ as a row vector each time for loop is going to run; $y(k,i),$ where $k$ goes from $1$ to $5$ for the five values of $.$ Resultant $y$ will be a matrix with five rows and $N$ columns, where $N$ is the length of the vector $x$ that represents the $x-$axis. Make sure to ask user to enter vector $x$ for which $y$ valu

CET $3464-$ Software Applications in Engineering Technology

EXERCISE $11$

Create plots for the second$-$order control system, in the same figure, given by the following expression for different values of the damping ratios $($zeta$),$

$y=1-\frac{1}{\sqrt[\phantom{2}]{1-{}^2}}{e}^{-x}sin(\sqrt[\phantom{2}]{1-{}^2}x+co{s}^{-1}())$

Use five different values for $$;$0\mathrm{.}1,0\mathrm{.}2,0\mathrm{.}4,0\mathrm{.}7,0\mathrm{.}9.$ Also, ask user to enter vector $x$ that represents range $(x-$axis$)$ over which plots will be created.

Sample Output

Hint: Create five vectors; each corresponding to a specific value of $$es are calculated and plotted.