The state model \begin{array}{l}
x\left( {k + 1} \right) = \left[ {\begin{array}{*{20}{c}}
0&1\\
{ - \beta }&{ - \alpha }
\end{array}} \right]x\left( k \right) + \left[ \begin{array}{l}
0\\
1
\end{array} \right]u\left( k \right)\\
y\left( k \right) = \left[ {0\,\,\,1} \right]\left[ {\begin{array}{*{20}{c}}
{{x_1}}&{\left( k \right)}\\
{{x_2}}&{\left( k \right)}
\end{array}} \right]
\end{array}
is represented in the difference equation as
The state equation of a second-order linear system is given by, x⋅(t)=Ax(t),x(0)=x0
For x0=[1−1],x(t)=[e−t−e−t] and for x0=[01],x(t)=[e−t−e−2t−e−t+e−2t].
When x0=[35],x(t) is
Consider the following statements:
The effect of phase lead network is given as:
1. Increased velocity constant.
2. Increased phase margin.
3. Increased bandwidth.
4. Slower response.
Which of the above statements are correct?
