### Control Systems Objectives Part 05

81 . The value of K for the stability in the following should be 𝟏𝟐< K < 1
Ks4+Ks3+s2+s+1=0

82 . Actuating signal will become zero when feedback signal and reference signals are equal.

83 . The transfer function of a system is the ratio of Laplace transform of the output variable to that of input variable.

84 . The dc gain of the system represented by s transfer functionP(s) = 1s+1 is 1

85 . The equation for a servo-mechanism damped solely by pure viscous friction, is given by
Ꝋi = input shaft displacement, radiansThe value of damping ratio will be 0.1

86 . Transfer function can be obtained from signal flow graph.

87 . The transfer function of a system is given byP(s) = 2s+2For ꙍ=10, the gain will be 0.196

88 . In the above case the phase shift will be -tan-1 5.

89 . Reference input minus the primary feedback is actuating signal.

90 . The transfer function is applicable to linear and time invariant systems.

91 . The dc gain of the system represented by the transfer functionP(s) =(s+8)(𝑠+2)(s+4) is 1.

92 . The input which is established or varied by some means external to and independent of the feedback control system is known as command.

93 . The impulse response of a certain system is the sinusoidal signal sint. The transfer function is 𝟏𝒔𝟐+𝟏

94 . For a system has transfer functionP(s) =2(𝑠+2)The gain for ꙍ=2 will be 0.707

95 . In the above case, the phase shift will be –45o.
Questions 96 to 99 refer to Fig. 24
A control system is composed of components whose transfer functions are as specified in the block diagram.

96 . Which of the following is the expression for the closed loop transfer functions? 𝟏𝒔𝟐+𝟐𝒔+𝟏𝟎.

97 . At what frequency does the output variable oscillate in responding to a step command before reaching a steady gate? 3 rad/sec.

98 . In the above case the maximum percent overshoot is 35%.

99 . Time required for to output to reach within percent of steady state in equation is 5 seconds.

Question 100 to 103 refer to data given below:
The measurements made on a servo mechanism show the output response to be
𝐶(𝑡)𝑟o= 1 – 1.66e-8t sin (6t+37) where the input is a step displacement of magnitude ro

100 . The natural frequency of the system in radians per second is 10 radians per second.