Control System Subject Revision Quiz

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Question 1

The open loop transfer function of a system is given as It is converted into a closed loop system by providing a negative feedback having feedback transfer function (s + 2), then the open loop and closed loop system are said to be respectively

• Astable and unstable
• Bstable and stable
• Cunstable and stable
• Dunstable and unstable

Question 2

The open loop poles of a third order unity feedback system are at 0, –1, –2. Let the frequency corresponding to the point where the root locus of the system transits to unstable region be K. Now suppose we introduce a zero in the open loop transfer function at – 3, while keeping all the earlier open loop poles intact. Which one of the following is TRUE about the point where the root locus of the modified system transits to unstable region?

• AIt corresponds to a frequency greater than K
• BIt corresponds to a frequency less than K
• CIt corresponds to a frequency K
• DRoot locus of modified system never transits to unstable region

Question 3

The polar diagram of a conditionally stable system for open loop gain K=1 is shown in figure. The open loop transfer function of the system is known to be stable. The closed-loop system is stable for
            

• A
• B
• C
• DK>1/8 & K<5

Question 4

The second order dynamic system

has the matrices P, Q and R as follows:

The system has the following controllability and observability properties:

• AControllable and observable
• BNot controllable but observable
• CControllable but not observable
• DNot controllable and not observable

Question 5

The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer functionis

• A1
• B2
• C5
• D9

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