Q$8)(10\%)$

Let us consider the following dynamic system:

$x_1^{}=x_2$

$x_2^{}=-a_0{x}_1-a_1{x}_2+u$

Analyze the dynamic behavior of the controlled system when the following

nonlinear control law is used:

$u=-x_1$sign$(x_{1}s),$ where $,s=c_1{x}_1+x_2$

Use the following parameters: $a_0=1,a_1=2,=3,c_2=1\mathrm{.}5.$