If the process is described by $dy(t)dt=-ay(t)+bu(t),$

where $u$ is the control variable and $y$ is the measurement output. The Model reference is given

by: $dym(t)dt=-$amym$(t)+bc(t)$

A perfect following of the model reference is achieved with the controller law:

$u(t)=1uc(t)-2y(t),$ where ${}_1=b\frac{m}{b}$ and ${}_2=am-\frac{a}{b}$

Using MIT, prove that the adjustment of the controller parameters can be obtained as:

$d\frac{{}_1}{d}t=-.e(\frac{1}{{}_2}+bm)uc(t),d\frac{{}_2}{d}t=.e(\frac{1}{{}_2}+bm)y(t)$