### Control System Objectives Part 11

**101 . ** Root locus diagrams exhibit which one of the following? **The poles of the transfer function for a set of parameter values.****Question 202 to 203 refer to data given below:**

**202 .** A closed loop control system has an open loop gain of 100. Its feedback loop has a gain of 0.005. Its sensitivity for positive feedback is **0.67.**

**203 .** Sensitive for negative feedback is **2.0.****Question 204 to 208 refer to data given below:**

A model for a mass damper system, with linear approximations, relates the applied force u(t) to the output velocity y(t) using the transfer function

H(s) = π(π )π(π ) = 6π +2

**204 .** The systemβs time constant T describing the time required for the step response to reach 63 % of its steady state value** 0.5.**

**205 . **Transient behavior of this system is a **decreasing exponential**

**206 .** If as system is viewed as a processor of sinusoidal input signals to generate the frequency response, it would be a** low pass filter.**

**207 .** What is the value of system bandwidth?** 2.**

**208 . **If a sinusoidal input force with frequency exactly at the system bandwidth is applied, what is the value of the gain factor?** πβππ .**

**209 .** ** Which of the following is not true for Signal Flow Graph? Branch directing from node yk to yj represent the dependence of variable yj upon k and vice versa.**

**210 .** What is the Laplace transform of a step function of a magnitude a?**ππ** .

**211 .** The advantage of Nyquist stability test is:** its applicability to experimental results of frequency response to open loop system, its ability to predict its closed loop stability from open loop results & its ability to indicate how to stabilize an unstable system (all of the above).**

**212 .** Which of the following can be extended to systems which are time varying?** State model representatives.**

**213 . ** The unity circle of Nyquist plot corresponds to the 0 dB line for the Bode plot for** all frequencies.****Question 214 to 217 refer to data given below:**

A chemical reactor with input flow u(t) and output concentration j(t)is modelled as a linear system with impulse response

h(t) = (4 + 8t) e-2t for t>= 0.

**214** . The number of state variables needed to represent this system is** 2.**

**215 . ** Transients in this system are** critically damped.**

**216 .** The steady state unit step response has magnitude **4.**

**217 .** The complete solution for the unit step response contain an exponential term of the form Cert where the number r is –**2.**

**218 .** The slope in Bode plot is expressed as (per unit change in low κ) **-6 dB/octave.**

Question 219 to 226 refer to data given below:

A unity feedback system has an open loop transfer function πΊ(π )=25π (π +8)

**219 .** The damping ratio is **0.8.**

**220 . ** The percentage peak overshoot is **1.5 %.**