PYQs Based Test - 06 : Control Systems

Topics Covered

Sample Questions from this Test

1. Given the following polynomial equation
   
   $s^3+5.5s^2+8.5s+3=0,$
   
   the number of roots of the polynomial, which have real parts strictly less than $-1$, is ________
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2. Consider a closed-loop control system with unity negative feedback and KG(s) in the forward path, where the gain K = 2. The complete Nyquist plot of the transfer function G(s) is shown in the figure. Note that the Nyquist contour has been chosen to have the clockwise sense. Assume G(s) has no poles on the closed right-half of the complex plane. The number of poles of the closed-loop transfer function in the closed right-half of the complex plane is ___________.
   
   
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3. Two linear time-invariant systems with transfer functions
   
   ${\mathrm{G}}_1(\mathrm{s})=\frac{10}{{\mathrm{s}}^2+\mathrm{s}+1}$ and ${\mathrm{G}}_2(\mathrm{s})=\frac{10}{{\mathrm{s}}^2+\mathrm{s}\sqrt{10}+10}$
   
   have unit step responses y₁(t) and y₂(t), respectively. Which of the following statements is/are true?

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Test Instructions

• The test contains 20 questions and a total of 32 marks.
• You will have 180 minutes to complete the test. The timer cannot be paused once started.
• Negative marking: 0.25 mark(s) deducted per wrong answer.
• Use the question palette to mark questions for review and navigate freely.
• Detailed solutions and analytics are available immediately after submission.
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