Which of the following statements is correct? Nichol's chart is useful for detailed study and analysis of

For the equation s3-4s2+s+6=0 the number of roots in the left half of s-plane will be

The bode diagram approach is the most commonly used method for the analysis and synthesis of

A. Non Linear Feedback control system only
B. Linear Feedback Control System Only
C.Open Loop System Only
D. All of the above

The open loop transfer function of a unity feedback control system is given by G(S)=K(S+2)/s(s2+2s+2) the centroid and angles of root locus asymptotes are respectively

Which of the following is the most likely reason for large overshoot in a control system?

Given a unity feedback system with G(S)=K/s(S+4), the value of k for damping ratio of 0.5 is

The output of first order hold between two consecutive sampling instant is a

How can steady state eror in a system be reduced ?

A. By decreasing the type of system
B. By increasing system gain
C. By decreasing the static error constant
D. By increasing the input

the type number of control system with G(s)H(s)=K(s+2)/s(s2+2s+3) is

feedback control systems are

Eigen Value Theory

Eigen values tell us the exponential part of the solution of the differential equation system
Three possible values for an eigen value :
1) Positive value: system will increase exponentially
2) Negative value: system will decay exponentially
3) Imaginary value: system will oscillate (note combinations of the above are possible)

NOTE:
Eigen values close to imaginary axis dominated on other value which is far from imaginary axis. Eigen value close to imaginary axis affect the system response.

Effect:
· If any eigenvalue has a positive real part, the system will tend to move away from the fixed point.
· If the real component of at least one eigenvalue is positive, than the system is unstable.
· If there are imaginary eigenvalue components with real positive component than the response will oscillate.
· Stability of linear dynamical systems can be determined from eigenvalues.
· Stability of nonlinear dynamical systems can be locally evaluated using eigenvalues.