Control System and Analysis — Winter 2022

Which of the below system is open loop system? Justify your answer. 1. Electric Hand Drier 2. Automatic washing Machine 3. Air conditioner 4. Bread Toaster 5. Missile Launcher 6. Voltage stabilizer

1. Obtain the Laplace transform of given f(t) f(t) = e−at 2. Obtain the inverse Laplace transform of given F(s)1 F(s) = s+3

Find the close loop transfer function for given system

Explain different applications of Biomedical Control Systems.

Give the difference between Block diagram reduction technique and Signal flow graph? Explain Mason’s Gain Equation.

Obtain differential equations describing mechanical system shown in figure and draw the electric network using force – voltage analogy.

Obtain differential equations for mechanical system shown in figure1

Draw and explain different standard test signals used for control system analysis.

Find Δ (delta) for signal flow graph given below.

Find the close loop transfer function for given system

Define damping ratio (zeta). Explain under damped, over damped and critically damped system with respect to zeta (ξ).

Asystem for controlling position is damped with velocity feedback as shown in figure Find out: If input Ris unit step, what is the response of the system and the steady state error?

Find out Natural frequency (wn), Damping factor(ξ), Rise Time (Tr), Delay time (Td), Peak Time (Tp), Peak overshoot (%Mp) and Ts for C(s) 1 = R(s) s2 +s+1

Define State Variables, State Vectors and State Space.

Find the range of k for stable operation G(s)H(s) = k using Routh’s s(s+1)(s+2) criteria.

Sketch the root locus for below given open loop transfer function k G(s)H(s) = s(s+2+2j)(s+2−2j)

Define below given terminologies:  Order of transfer function,  Type of transfer function  Transient response.

Find out the stability of the system by Routh’s criterion if the characteristic equation is given by, S4+s3+2s2+2s+3=02

Draw the nyquist plot for, 2.2 G(s)ℎ(s) = s (s+1)(s2 +2s+2)

Describe the State model of nth order of system.

Draw Polar plot of100 G(s)H(s) = (s+2)(s+4)(s+8)

Sketch the Bode plot for s s 100(1+ )(1+ )10100 G(s)H(s) = s2 +s+4 Find the Gain and Phase Margin.

Define and explain following terms with respect to frequency response (i) Gain Margin (ii) Phase Margin (iii) Gain cross-over frequency

Afeedback control system has open loop transfer function k G(s)H(s) = s(s+4)(s2+4s+20) 1. Find out poles and zero. 2. Draw the real axis loci. 3. Calculate number of asymptotes and angle of asymptotes. 4. Find out breakaway point.

Determine the transfer function of a system shown in figure