Describe LTI system with one example.
[3 marks]Define impulse, step, ramp and parabolic signal with its laplace transform.
[4 marks]Explain open loop and closed loop control system with suitable example & gives its advantages and disadvantages.
[7 marks]Write applications of control system.
[3 marks]For the electrical network of Fig.1 Find the transfer function Vo(s) /Vi(s).
[4 marks]Write differential equation for mechanical system as shown in Fig.2. Find F-I & F-Vanalogous circuits.
[7 marks]Using Block diagram Reduction technique, find the transfer function for the system shown in Fig.3.
[7 marks]The impulse response of a system is e-2t. Find the transfer function.
[3 marks]Write properties of Transfer Functions.
[4 marks]Find the transfer function of given control system in fig.4. using signal flow graph.
[7 marks]Write properties of Signal Flow Graph.
[3 marks]Test the stability of a system whose characteristics equation is, S3+5S2+6S+30 = 0.
[4 marks]The open loop transfer function of a unity feedback control system is given by, G(S) = 20S/(S+4). Determine time domain specifications.
[7 marks]Derive impulse response of first order control system.
[3 marks]Find the inverse Laplace transform of F(s) = (s+2)/ s(s+5)(s+1)
[4 marks]Derive Steady state error of type 0, 1, 2 closed loop control system for unit step, ramp, and parabolic input signal.
[7 marks]Explain mason gain formula.
[3 marks]Draw polar plot of G(S)H(S) = 50/ (S+3)(S+4)(S+5) .
[4 marks]Consider the unity feedback control system whose open loop transfer function is G(s) = 20/s(1+0.2s). Determine the steady state error and its variation with time when the input is r(t) = 1 + t + t2 .
[7 marks]Define State Variables, State Vectors and State Space.
[3 marks]Draw the response for Under damped, Critically damped & Over damped systems with necessary equations.
[4 marks]For the system having the open loop transfer function G(S)H(S) = /S(S+8)(S+4). Determine the stability of the system by plotting the bode plot of the system.
[7 marks]Describe the State model of nth order of system.
[3 marks]Draw Nyquist plot of G(S)H(S) = 1/ (S+3)(S+8) .1
[4 marks]Sketch the root locus of a unity feedback control system with G(s) = k/s(s+2)(s+5) and determine the value of k for marginal stability. Fig.3. Fig.4.2
[7 marks]