Table Q$\mathrm{.}2$: Rule base of fuzzy logic controller

At Table Q$\mathrm{.}2$: Rule base of fuzzy logic controller

At $t=t_1,e=-0\mathrm{.}3$ and $de=0\mathrm{.}1$ as measured. Compute the following:

$($c$)$ Using the center of gravity defuzzification method and resolution $=0\mathrm{.}2.$ determine $du$ at

$t=t_1$ in $3$ decimal places.

$($a$)$ Rules that are fired, e$.$g$.(N,N$;$N).$

$(5$ marks$)$

$($d$)$ If the Control Input is $u=1$ at $t=t_1-dt,$ what is the value of $u$ at $t=t_1?$ Note that $dt$

is the sampling interval.

$($b$)$ If the max$-$min inference mechanism is used, sketch the resulting fuzzy set. Label the

axes accordingly.

$($e$)$ Analyze the fuzzy logic controller design and if needed, propose a solution to improve the

control performance. $t=t_1,e=-0\mathrm{.}3$ and $de=0\mathrm{.}1$ as measured. Compute the following:

$($c$)$ Using the center of gravity defuzzification method and resolution $=0\mathrm{.}2,$ determine $du$ at

$t=t_1$ in $3$ decimal places.

$($a$)$ Rules that are fired, e$.$g$.(N,N$;$N).$

$(5$ marks$)$

$($d$)$ If the Control Input is $u=1$ at $t=t_1-dt,$ what is the value of $u$ at $t=t_1?$ Note that $dt$

is the sampling interval.

$($b$)$ If the max$-$min inference mechanism is used, sketch the resulting fuzzy set. Label the

axes accordingly.

$($e$)$ Analyze the fuzzy logic controller design and if needed, propose a solution to improve the

control performance.