Control System and Analysis — Winter 2023

The impulse response of a system is e-2t. Find the transfer function.

Explain Force to Voltage analogy for mechanical system.

Explain block diagram of different types of control system with examples.

(s+3) Find out inverse Laplace transform of the function, (s) = . (s+2)(s+4)

Obtain differential equation of mechanical system shown in figure 1 and Draw the electric network using force-voltage analogy. Figure 1.

Write Block diagram reduction Rules.

Find the single block equivalent by block diagram reduction technique for the system given in figure 2. Figure 2.

Explain mason’s gain formula.

Find out transfer function of the given electrical network in figure 3. Figure 3.1

50 Find out time domain specification of given system G(s) = . s2+ 5s+25

Define Settling time, Peak time, Delay time.

Check the stability of the system using Routh’s array for the characteristic equation, S5 +2S4 +3S3+ 6S2+5S+3.

Using Mason’s gain formula, find the gain of the following signal flow graph shown in figure 4. Figure 4.

Explain Torque to Current Analogy.

k Find the range of k for stable operationG(s) = , H(s)=1, by s(1+0.4s)(1+0.25s) using Routh’s array.

Explain Steady state error of Type 0,1, 2 systems for Unit impulse, Unit Step and Unit Ramp function.

Write comparison of Block diagram reduction and Signal flow Graph methods.

Derive impulse response of first order control system.

Sketch the root locus plot of a unity feedback system with an open loop transfer k function of G(s) = . Find the range of k for which system has s(S+4)(S+1) damped Oscillatory response.

Define Damping factor, Over damped system and under damped system. ks2

Find the polar plot of G(s) = (1+0.2s)(1+0.02s)

For the system having the open loop transfer function G(s)H(s) =10 . Determine the stability of the system by plotting the bode plot of s(s+1)(s+10) the system.

Define stability, Unstable system and Critically stable system.

For the given transfer function, (s) = 1 . Decide the stability (1+0.2s)(1+0.5s) using Nyquist Plot.

Describe State variables, State vector, State Space. Also Describe State variable Representation of Control system.