Control Systems - Study Mode

[#196] Two systems are defined by their state veritable equation in time domain dx(t)/dt = Ax(t) + Bu(t) as follows. If the gain equation in this are as given below, which of the following choices is correct? [x08egin{array}{l}
{
m{A}} = left[ {x08egin{array}{*{20}{c}}
{ - 2}&1\
0&{ - 1}
end{array}}
ight],,{
m{B}} = left[ x08egin{array}{l}
1\
0
end{array}
ight]{
m{. }}{
m{. }}{
m{. }}{
m{. Equation 1}}\
{
m{A}} = left[ {x08egin{array}{*{20}{c}}
0&1\
{ - 1}&0
end{array}}
ight],,{
m{B}} = left[ x08egin{array}{l}
0\
1
end{array}
ight]{
m{. }}{
m{. }}{
m{. }}{
m{. Equation 2}}
end{array}]
Correct Answer

(D) Only Equations 2 is controllable

[#197] If there are sign changes in the first column of Routh's array, the system is
Correct Answer

(B) unstable

[#198] Two identical first order systems have been cascaded non-interactively, the unit step response of system is:
Correct Answer

(D) critically damped

[#199] Match List-I with List-II and select the correct answer, using the options given below the lists: List-I List-II a. Lag compensation 1. Exterior of unit Circle b. Lead compensation 2. PD Control c. Stability 3. Non-minimum phase d. Instability 4. Left half of s-plane 5. PI control
Correct Answer

(D) a-5, b-2, c-4, d-1

[#200] If a zero is added in a forward path of a second order system:
Correct Answer

(A) rise time will decrease