Block Reduction on a DC Motor

My Solutions $>$

Figure shows the block diagram of a dc$-$motor control system. The signal $N(S)$ denotes the frictional torque at the motor shat

Find the transfer function $H(s)$ so that the output $Y(s)$ is not affected by the disturbance torque $M(s)$

Script $8$

Save

CReset

MATLAB Documentation

clc

clear

format compact

syms $E(s),Y(s)G(s)H(s)N(s)K$

$\%$ STEP $1-$ Find the transfer function $Y\frac{S}{N}(s)$ when $R(s)=.$

$\%$ to find the error, $E(s),$ analyze the block diagram by writing the algebra equations at the cutput of the two summers and then solve for E$(5)$ by

eq$1=$

$\%$ Find an expression for $Y(s)$ the output, in terms of $G(s),N(s)$ and $E(s).$

eq $2=$

$\%$ Solve equation $(1)$ for $E(s).$

eq$3=\%$ Tip: use isolate function

& Substitute equation $(3)$ into equation $(2).$

eq $4=,\%$ Tip: use rhs and subs functions

$\%$ Solve equation $(4)$ for $Y\frac{s}{N}(s).$

eq$5=,*$ Tip: use isolate function

$\%$ STEP $2-$ Set the transfer function, $Y\frac{S}{N}(s)=8$ to solve for $H(s)$ so that the system output, $Y(s),$ will not be affected by the disturbance, tor

$\%$ Set the transfer function, $Y\frac{s}{N}(s)=$ and solve for $H(s).$