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 above 
A) scalars 
B) adders 
C) integrators 
D) all of the above D

Question 2

State model representation is possible using _________

Accepted Answer

A) physical variables 
B) phase variables 
C) canonical state variables 
D) all of the above 
A) physical variables 
B) phase variables 
C) canonical state variables 
D) all of the above D

Question 3

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

Accepted Answer

A) zero 
B) non-zero 
C) equal 
D) not equal 
A) zero 
B) non-zero 
C) equal 
D) not equal B

Question 4

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

Accepted Answer

A) galvanometer 
B) gauss meter 
C) potentiometer 
D) tachometer 
A) galvanometer 
B) gauss meter 
C) potentiometer 
D) tachometer

Question 5

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) adaptability 
A) controllability 
B) observability 
C) differentiability 
D) adaptability

Question 6

The diagonalizing matrix is also known as:

Accepted Answer

A) eigen matrix 
B) modal matrix 
C) constant matrix 
D) state matrix 
A) eigen matrix 
B) modal matrix 
C) constant matrix 
D) state matrix

Question 7

The values of the characteristic equation is given by:

Accepted Answer

A) eigen values 
B) state matrix 
C) eigen vector 
D) none of the mentioned 
A) eigen values 
B) state matrix 
C) eigen vector 
D) none of the mentioned

Question 8

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 scalar 
A) state variables 
B) state vector 
C) state space 
D) state scalar

Question 9

State model representation is possible using _________

Accepted Answer

A) physical variables 
B) phase variables 
C) canonical state variables 
D) all of the mentioned 
A) physical variables 
B) phase variables 
C) canonical state variables 
D) all of the mentioned

Question 10

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

Question 11

Kalman's test is for :

Accepted Answer

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

Question 12

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 above 
A) can be determined partly 
B) can be determined completely 
C) cannot be determined 
D) none of the above

Question 13

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 above 
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 above

Question 14

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 vector 
A) input equations 
B) output equations 
C) state trajectory 
D) state vector

Question 15

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

Accepted Answer

A) observable 
B) controllable 
C) diagoanlization 
D) cannonical 
A) observable 
B) controllable 
C) diagoanlization 
D) cannonical

Question 16

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, 0 
A) ?1, ?2, ?3 
B) 1/?1,1/?2,1/?3 
C) -?1, -?2, -?3 
D) ?1, 0, 0

Question 17

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, 1 
A) ?1, ?2, ?3 
B) 1/?1,1/?2,1/?3 
C) ?31,?32,?33 
D) 1, 1, 1

Question 18

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) infinite 
A) 0 
B) 1 
C) 2 
D) infinite

Question 19

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

Accepted Answer

A) scalars 
B) adders 
C) integrator 
D) all of the mentioned 
A) scalars 
B) adders 
C) integrator 
D) all of the mentioned

Question 20

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 graphs 
A) transfer function 
B) state variable 
C) block diagram 
D) signal flow graphs

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

State model representation is possible using _________

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

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

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

The diagonalizing matrix is also known as:

The values of the characteristic equation is given by:

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

State model representation is possible using _________

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

Kalman's test is for :

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

The state variable representation is preferred

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

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

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

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

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

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

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

Control Systems, Sampling, and Transform Techniques

Stability and Realization of Linear Systems With Feedback and Sampling

Control System

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Exam 3: State Space Analysis and Eigen Values

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

State model representation is possible using _________

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

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

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

The diagonalizing matrix is also known as:

The values of the characteristic equation is given by:

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

State model representation is possible using _________

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

Kalman's test is for :

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

The state variable representation is preferred

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

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

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

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

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

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

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

Control Systems, Sampling, and Transform Techniques

Stability and Realization of Linear Systems With Feedback and Sampling

Control System

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