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### CONTROL SYSTEMS

CONTROL SYSTEMS :-  Important questions ## 15)  Find the overall gain of the system whose signal flow graph is shown in fig. 16) Draw a signal flow graph and evaluate the closed loop transfer function of a system       Whose block is shown in fig? 17) Derive the expressions and draw the response of first order system for unit step input. 18) Draw the response of second order system for critically damped case and when input is unit step. 19)  Derive the expressions for Rise time, Peak time, and Peak overshoot. A potential control system with velocity feedback is shown in fig. What is the response of the system for unit step input? 20) For a unity feedback control system the open loop transfer function G(S) = 10(S+2)/ S2 (S+1). Find (a) Position, velocity and acceleration error constants. (b) The steady state error when the input is R(S) where R(S) =3/s –2/s2+1/3s3 21) What is frequency response? 22) What are advantages of frequency response analysis? 23) What are frequency domain specifications? 24) Define Resonant Peak. 25) What is resonant frequency? 26) Define Bandwidth. 27) What is cut-off rate? 28) Define gain margin. 29) Define phase margin. 30) What is phase and Gain cross-over frequency? 31) What is Bode plot? 32) Define corner frequency. 33) What are the advantages of Bode Plot? 34) Sketch the Bode plot and hence find Gain cross over frequency, Phase cross over frequency, Gain margin and Phase margin. G(S) = 0.75(1+0.2S)/ S (1+0.5S) (1+0.1S) 35) Sketch the polar plot for the following transfer function and find Gain cross over frequency, Phase cross over frequency, Gain margin and Phase margin. G(S) = 400/ S (S+2) (S+10) 36) What is the necessary and sufficient condition for stability? 37) What is routh stability condition? 38) What is Nyquist stability criterion? 39) Using Routh criterion determine the stability of the system whose characteristics equation is s4+8s3+18s2+16s+5 =0 . 40) Construct Nyquist plot for a feedback control system whose open loop transfer function is given by G(S)H(S) =5/ S(1-S).comment on the stability of open loop and closed loop transfer function. 41) Sketch the Nyquist plot for a system with the open loop transfer function        G(S)H(S) =K(1+0.5S) (1+S) / (1+10S) (S-1).determine the range of values of K for which the system is stable. 42) What are state variables? 43)  What is the state space? 44) What are phase variables? 45) What is a state vector? 46) Test the controllability & observability of the system whose state space representation is given as, 47) Determine the state variable representation of the system whose transfer function is given as Y(s) / U(s) = 2s2+8s+7 / (s+2) 2 (s+1)

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