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Questions On Root Locus PDF

The document contains 23 questions asking to sketch the root locus for various feedback control systems with different open-loop transfer functions. The questions provide the numerator and denominator polynomials that define the open-loop transfer functions. Sketching the root locus involves determining how the location of poles vary in the complex plane as the system gain is increased from zero to infinity. This analysis can identify the stability of the feedback system.

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Sa Ku
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422 views2 pages

Questions On Root Locus PDF

The document contains 23 questions asking to sketch the root locus for various feedback control systems with different open-loop transfer functions. The questions provide the numerator and denominator polynomials that define the open-loop transfer functions. Sketching the root locus involves determining how the location of poles vary in the complex plane as the system gain is increased from zero to infinity. This analysis can identify the stability of the feedback system.

Uploaded by

Sa Ku
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Questions on Root Locus

Q 1. A unity feedback system, (𝑠) = . Sketch the rough nature of the root locus
( )( )
showing all details on it. Comment on the stability of the system.

Q 2. Sketch the root locus for the system having, 𝐺(𝑠)𝐻(𝑠) =


( )
( )
Q 3. Sketch the root locus for system with, 𝐺(𝑠)𝐻(𝑠) =
( )
( . )
Q 4. Sketch the root locus for system having, (𝑠)𝐻(𝑠) = . Also determine 'K’
( )
for damping ratio of 0.5 from the root locus.
( )
Q 5. Sketch the root locus for system having, 𝐺(𝑠)𝐻(𝑠) =
( )

Q 6. Sketch the root locus for system having, 𝐺(𝑠)𝐻(𝑠) = .


( )( )( )

Q 7. Sketch the root locus for system having, 𝐺(𝑠)𝐻(𝑠) = .


( )( . )
Q 8. Sketch the root locus with approximate indication of breakaway points for system having,
( )
𝐺(𝑠)𝐻(𝑠) = .
( )( )
Q 9. Sketch the root locus for system with closed loop transfer function,
( )
𝑇(𝑠) = .

Q 10. Sketch the root locus of system having open loop transfer function, 𝐺(𝑠)𝐻(𝑠) =
Q 11. Plot root locus for the system shown below

( )
Q 12. Sketch the root locus of system having open loop transfer function, 𝐺(𝑠) =
( )
Q 13. Sketch the root locus of system having open loop transfer function,

𝐺(𝑠)𝐻(𝑠) =
( )( )
Q 14. Sketch the root locus of system having open loop transfer function,
( )
𝐺(𝑠) =
( )( . )
Q 15. Sketch the root locus of unit feedback system having transfer function,
( )
𝐺(𝑠) =
( )( )
Q 16. Sketch the root locus of unit feedback system having transfer function,
𝐺(𝑠) =
Q 17. Sketch the root locus of unit feedback system having transfer function,

𝐺(𝑠) =
Q 18. Sketch the root locus of unit feedback system having transfer function,
( )
𝐺(𝑠)𝐻(𝑠) =
( )( )
Q 19. Sketch the root locus of unit feedback system having transfer function,
( )
𝐺 (𝑠) = , 𝐻 (𝑠) = 1
Q 20. Sketch the root locus of unit feedback system having transfer function,
( )
𝐺 (𝑠) = ( ) , 𝐻 (𝑠) = 1
Q 21. Sketch the root locus of unit feedback system having transfer function,
𝐺 (𝑠) = , 𝐻 (𝑠) = 1
( )( )
Q 22. Sketch the root locus of unit feedback system having transfer function,

𝐺 (𝑠) = , 𝐻 (𝑠) = 1
( . )( . )
Q 23. Sketch the root locus of unit feedback system having transfer function,
𝐺 (𝑠) = , 𝐻 (𝑠) = 1
( )( )

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