Deck 3: State Space Analysis and Eigen Values

Question 1

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

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

Answer 1

0

Question 2

The values of the characteristic equation is given by:

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

Answer 2

eigen values

Question 3

The state variable representation is preferred

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

Answer 3

to make a plant simple and to control the transient response

Question 4

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

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

Question 5

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

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

Question 6

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

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

Question 7

State model representation is possible using _________

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

Question 8

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

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

Question 9

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

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

Question 10

What is Eigen value?

A)a vector obtained from the coordinates
B)a matrix determined from the algebraic equations
C)a scalar associated with a given linear transformation
D)it is the inverse of the transform

Question 11

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

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

Question 12

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

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

Question 13

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

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

Question 14

According to the property of state transition method, e0 is equal to _____

A)i
B)a
C)e^-at
D)-e^At

Question 15

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

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

Question 16

State model representation is possible using _________

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

Question 17

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

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

Question 18

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

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

Question 19

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

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

Question 20

State model is generally not suitable for measuring:

A)investigation of system properties
B)evaluation of time response
C)real variables
D)both a and b

Question 21

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

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

Question 22

The diagonalizing matrix is also known as:

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

Question 23

A system is said to be_____________ if it is possible to transfer the system state from any initial state to any desired state in finite interval of time.

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

Question 24

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

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

Question 25

Kalman's test is for :

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