Control System Engineering SPPU Insem Question Paper Mar 2024

Questions

1. Q1

   1. a)

      Compare open loop and close loop system with block diagram and illustration.

      [7]
   2. b)

      This part has equations that don’t show as text. Open the PDF to read it.

      [8]
   OR

2. Q2

   1. a)

      Explain force voltage and force current analogy with the help of suitable diagrams.

      [7]
   2. b)

      Derive C(S)/R(S) using block diagram reduction technique for following system :

      [8]

3. Q3

   1. a)

      Derive an expression for steady state error of close loop system and state the formula for steady state error for step, ramp and parabolic input in terms of static error coefficients. State any two limitations of static error coefficient method.

      [7]
   2. b)

      A unity feedback control system is characterized by open loop transfer function given by G(S) = 50/ (S 2 +5S+24). Find un-damped natural frequency, damping ratio, damped natural frequency and settling time. Also calculate time period of oscillations related to damped natural frequency. Write an expression for output response.

      [8]
   OR

4. Q4

   1. a)

      Write transfer function of type 0, type 1 and type 2 systems in standard time constant form in terms of gain, poles and zeros. Define under damped, over damped and critically damped system and show nature of output response for unit step input.

      [7]
   2. b)

      For the system with G(S)H(S) = 20000/ (1+s) (1+0.1s) (1+0.005s), find steady state error for step, ramp and parabolic input each of magnitude 1000. What will be magnitude of steady state output (Css) for given step input? 

      [8]