Question 1

Which among the following are the interconnected units of state diagram representation?

Accepted Answer

A)  scalars
B)  adders
C)  integrators
D)  all of the aboveE) A) and B)
F) A) and C) D

Question 2

The Eigen values of a 3×3 matrix are ?1, ?2, ?3 then the Eigen values of a matrix A3 are __________

Accepted Answer

A)  ?1, ?2, ?3
B)  1/?1,1/?2,1/?3
C)  ?31,?32,?33
D)  1, 1, 1E) B) and C)
F) All of the above

Question 3

State space analysis is applicable even if the initial conditions are _____

Accepted Answer

A)  zero
B)  non-zero
C)  equal
D)  not equalE) A) and D)
F) All of the above B

Question 4

Which among the following constitute the state model of a system in addition to state equations?

Accepted Answer

A)  input equations
B)  output equations
C)  state trajectory
D)  state vectorE) A) and D)
F) B) and D)

Question 5

With the knowledge of state space representation the transfer function of the system

Accepted Answer

A)  can be determined partly
B)  can be determined completely
C)  cannot be determined
D)  none of the aboveE) None of the above
F) B) and C)

Question 6

The state variable representation is preferred

Accepted Answer

A)  to increase the sensitivity to the plant parameter variations
B)  to reduce the sensitivity to the plant parameter variations
C)  to make a plant simple and to control the transient response
D)  none of the aboveE) None of the above
F) B) and D)

Question 7

Which among the following controls the speed of D.C. motor?

Accepted Answer

A)  galvanometer
B)  gauss meter
C)  potentiometer
D)  tachometerE) B) and C)
F) A) and B)

Question 8

State model representation is possible using _________

Accepted Answer

A)  physical variables
B)  phase variables
C)  canonical state variables
D)  all of the aboveE) B) and C)
F) None of the above D

Question 9

The values of the characteristic equation is given by:

Accepted Answer

A)  eigen values
B)  state matrix
C)  eigen vector
D)  none of the mentionedE) A) and C)
F) A) and D)

Question 10

The transfer function of a LTI system is given as 1/(s+1) . What is the steady-state value of the unit-impulse response?

Accepted Answer

A)  0
B)  1
C)  2
D)  infiniteE) A) and D)
F) A) and C)

Question 11

______________ are the techniques for converting general state models into canonical one.

Accepted Answer

A)  observable
B)  controllable
C)  diagoanlization
D)  cannonicalE) None of the above
F) B) and D)

Question 12

Which among the following plays a crucial role in determining the state of dynamic system?

Accepted Answer

A)  state variables
B)  state vector
C)  state space
D)  state scalarE) None of the above
F) C) and D)

Question 13

The diagonalizing matrix is also known as:

Accepted Answer

A)  eigen matrix
B)  modal matrix
C)  constant matrix
D)  state matrixE) A) and B)
F) B) and D)

Question 14

Kalman's test is for :

Accepted Answer

A)  observability
B)  controllability
C)  optimality
D)  observability and controllabilityE) B) and C)
F) A) and D)

Question 15

State model representation is possible using _________

Accepted Answer

A)  physical variables
B)  phase variables
C)  canonical state variables
D)  all of the mentionedE) B) and C)
F) A) and D)

Question 16

Which mechanism in control engineering implies an ability to measure the state by taking measurements at output?

Accepted Answer

A)  controllability
B)  observability
C)  differentiability
D)  adaptabilityE) B) and C)
F) A) and D)

Question 17

Which among the following are the interconnected units of state diagram representation?

Accepted Answer

A)  scalars
B)  adders
C)  integrator
D)  all of the mentionedE) A) and B)
F) A) and C)

Question 18

Which among the following is a unique model of a system?

Accepted Answer

A)  transfer function
B)  state variable
C)  block diagram
D)  signal flow graphsE) A) and C)
F) C) and D)

Question 19

A system is said to be_________________ if every state can be completely identified by measurements of the outputs at the finite time interval.

Accepted Answer

A)  controllable
B)  observable
C)  cannot be determined
D)  controllable and observableE) B) and C)
F) A) and D)

Question 20

Let us consider a 3×3 matrix A with Eigen values of ?1, ?2, ?3 and the Eigen values of A-1 are?

Accepted Answer

A)  ?1, ?2, ?3
B)  1/?1,1/?2,1/?3
C)  -?1, -?2, -?3
D)  ?1, 0, 0E) All of the above
F) B) and D)

Exam 3: State Space Analysis and Eigen Values

Which among the following are the interconnected units of state diagram representation?

Correct AnswerverifiedD

The Eigen values of a 3×3 matrix are ?1, ?2, ?3 then the Eigen values of a matrix A3 are __________

Correct AnswerverifiedShow Answer

State space analysis is applicable even if the initial conditions are _____

Correct AnswerverifiedB

Which among the following constitute the state model of a system in addition to state equations?

Correct AnswerverifiedShow Answer

With the knowledge of state space representation the transfer function of the system

Correct AnswerverifiedShow Answer

The state variable representation is preferred

Correct AnswerverifiedShow Answer

Which among the following controls the speed of D.C. motor?

Correct AnswerverifiedShow Answer

State model representation is possible using _________

Correct AnswerverifiedD

The values of the characteristic equation is given by:

Correct AnswerverifiedShow Answer

The transfer function of a LTI system is given as 1/(s+1) . What is the steady-state value of the unit-impulse response?

Correct AnswerverifiedShow Answer

______________ are the techniques for converting general state models into canonical one.

Correct AnswerverifiedShow Answer

Which among the following plays a crucial role in determining the state of dynamic system?

Correct AnswerverifiedShow Answer

The diagonalizing matrix is also known as:

Correct AnswerverifiedShow Answer

Kalman's test is for :

Correct AnswerverifiedShow Answer

State model representation is possible using _________

Correct AnswerverifiedShow Answer

Which mechanism in control engineering implies an ability to measure the state by taking measurements at output?

Correct AnswerverifiedShow Answer

Which among the following are the interconnected units of state diagram representation?

Correct AnswerverifiedShow Answer

Which among the following is a unique model of a system?

Correct AnswerverifiedShow Answer

A system is said to be_________________ if every state can be completely identified by measurements of the outputs at the finite time interval.

Correct AnswerverifiedShow Answer

Let us consider a 3×3 matrix A with Eigen values of ?1, ?2, ?3 and the Eigen values of A-1 are?

Correct AnswerverifiedShow Answer

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D

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