1. K>-1
2. K
3. -1
4. marginal stable
marginal stable
1.
2.
3.
4.
1. √3
2. 3
3. 4
4. 5
5
1. 0.5 rad/sec
2. 0.707 rad/sec
3. 1.732 rad/sec
4. 2 rad/sec
0.707 rad/sec
1. overdamped
2. Critically damped
3. underdamped
4. undamped oscillatory
undamped oscillatory
1. insert derivative action, use negative feedback reduce again
2. reduce gain, use negative feedback, insert derivation action
3. reduce gain, insert derivation action, use negative feedback
4. use negative feedback, reduce gain, insert derivation action
use negative feedback, reduce gain, insert derivation action
1. 1 and 3
2. 2 and 3
3. 1 and 2
4. 1,2 and 3
1 and 2
1.
2.
3.
4.
1. a sinusoidal oscillation which decaying exponential; the system is therefore stable.
2. a sinusoidal oscillation with time multiplier the system is therefore unstable.
3. a sinusoidal oscillation which rises exponentially with time; the system is therefore unstable.
4. a dc term and harmonic oscillation; the system therefore becomes limitingly stable
a sinusoidal oscillation with time multiplier the system is therefore unstable.
1.
2.
3.
4.