Derive the equation to obtain the transfer function from the state space model.
[3 marks]Explain linearization of nonlinear system with suitable example.
[4 marks]Explain the control system design process in detail.
[7 marks]Explain the standard test input signals.
[3 marks]Discuss the cost of feedback in the control design process.
[4 marks]The feedback control reduces the system sensitivity to parameters changes. Justify with necessary mathematical arguments.
[7 marks]Discuss the effects of feedback control on measurement noise attenuation.
[7 marks]Define state, state vector and state space.
[3 marks]Derive the equation of rise time for second order underdamped control system. C C Determine the ratio , and the total output of the system given by the
[7 marks]R D block diagram below.
[ marks]Draw the step response of critically damped, overdamped and underdamped systems.
[3 marks]The forward path transfer function of a unity feedback control system is given by2 G(s) = s(s+3) Obtain an expression for unit step response of the system.1
[4 marks]Find the transfer function of the signal flow graph given below.
[7 marks]State the Nyquist stability criteria.
[3 marks]Using Routh criterion investigate the stability of a unity feedback control system whose open loop transfer function is given by G(s) = e−sT 2 . s(s+2) Sketch the root locus and determine the stability for the open loop
[7 marks]K(s+0.1) transfer function given by G(s)H(s) = s(s−0.2)(s2+s+0.6)
[ marks]Define following: (1) Gain Margin (ii) Phase Margin (iii) Phase Crossover Frequency
[3 marks]Discuss the Nyquist stability criteria for the stability of control systems with time delays. Aunit step input is applied to a unity feedback control whose open loop
[7 marks]transfer function is given byG(s) = K . Determine the values of K s(sT+1) and Tgiven that maximum overshoot M = 26% and resonant frequency p ω = 8 rad/sec. r
[ marks]Find the impulse response of the unity feedback control system whose (4s+1) open loop transfer function is given by G(s) = . 4s2
[3 marks]Give the comparison between transfer function approach and state space approach. Sketch the Bode plot and comment on the stability for the transfer
[7 marks]2(s+0.25) function given by G(s)H(s) = . s2(s+1)(s+0.5)
[ marks]Determine the position and velocity error coefficient for the system 100(s+2)(s+40) given by G(s) = . s3(s2+4s+200)
[3 marks]Determine the dimensions of state matrix, input matrix, output matrix and feedforward matrix for the system having 3 state variables, 2 input variables and 2 output variables. Sketch the Nyquist plot for a unity feedback control system given by
[7 marks]Ks3 G(s) = and determine the stability condition. (s+1)(s+2)
[ marks]