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Modern Control Theory 10EE55

Dept. of EEE, SJBIT Page 1

Question Bank 

UNIT 1& 2

1) Compare modern control theory with conventional control theory (Jan 2010).

2) Determine state model for given transfer function (Jan 2007)

3) Determine state model for given transfer function (June 2007)

4.) Develop a state model in Cascading form (June 2009)

UNIT 3 & 4

1) What is STM? Obtain the state transition matrix using power series method (Dec 09)

(Jan 2010)

2) What is STM? Compute the state transform matrix eAT

. (Dec 2008) (June 2007)

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Modern Control Theory 10EE55

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4 ) What is STM? Compute the state transform matrix eAT

using Cayley Hamilton

theorem. (Dec 2008) (June 2007)

5) July 2008

UNIT 5

1) Explain the concept of Controllability and observability, with the condition for complete

controllability and observability in the S- plane (Dec 2010) (June 2010)

2) Check the controllability of the system (Jan 2008)

3) Check the controllability of the system by Kalman's method (Dec 2009)

4) Determine the state controllability of the system by Kalmans approach. (June 2006)

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5) Test the observablity using Kalmans method (Dec 2005)

UNIT 6

1) Design a controller K for the state model ( Dec 2009)

2) Design controller K which places the closed loop poles at -4 ± j4 for a system using

Acermanns formula. (Dec 2007)

3) Design a full order state observer. Assume the eigen values of the observer matrix at

-2 ±  j 3.464 and -5 (June 2010) (Jan 2010)

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4) Design a full order state observer. Assume the eigen values of the observer matrix at -

2 ±  j 3.464 and -5 (June 2010) (Jan 2010)

5) Design controller to take place closed loop poles -1±  j1, -5. Also design an observer such

that observer poles are at -6, -6, -6. (Jun 2009) (Jan 2007)

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UNIT 7

1) What is phase- plane plot ? Describe delta method of drawing phase- plane trajectories(Jan 2010)

2) What are singular points? Explain the different singular points with respect to stability

of non- linear system (Jan 2010) (Dec 2009) (June 2009) (June 2010) (Jan 2009)( Dec 2010)

3) Explain the common physical Non-linearities (Jan 2010) (Dec 2010) (Jan 2008) (June

2010)

UNIT 8

1) Determine the stability of the system. (Jan 2009)

2) Determine the stability of the system described by (Dec 2010)

3) PID controller (June, Dec 2010) ( Jan 2010)