### Control Systems Objectives Part 05

**81 . ** The value of K for the stability in the following should be **ππ< 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 function**P(s) = 1s+1 is 1

**85 .** The equation for a servo-mechanism damped solely by pure viscous friction, is given by

(10D2+20D+1000)κo =1000κiWhere κo = load shaft displacement, radians.

κi = 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 by**P(s) = 2s+2For κ=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)(π +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 **πππ+π**

**94 .** For a system has transfer functionP(s) =2(π +2)The gain for κ=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? **πππ+ππ+ππ.**

**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

πΆ(π‘)πo= 1 β 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.**