# Control Systems-State Variable Model and State Equation of LTI [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 1 - 6 of 7

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## Question 1

Appeared in Year: *2019*

### Question MCQ▾

Let the state-space representation of an LTI system be x (t) where A, B, C are matrices, d is a scalar, u (t) is the input to the system, and y (t) is its output. Let and d = 0. Which one of the following options for A and C will ensure that the transfer function of this LTI system is H (s) = (Carry One Mark Each)

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

### Passage

The signal flow graph of a system is shown below:

## Question 2 (1 of 1 Based on Passage)

Appeared in Year: *2010*

### Question MCQ▾

The state variable representation of the system can be

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 3

Appeared in Year: *2017*

### Question Numeric Answer▾

Consider the state space realization

, With the initial condition

; Where denotes the unit step function. The value of is …

Edit## Question 4

Appeared in Year: *2015*

### Question MCQ▾

The state variable representation of a system is given as

The response y (t) is

### Choices

Choice (4) | Response | |
---|---|---|

a. | 0 | |

b. | ||

c. | ||

d. |

## Question 5

Appeared in Year: *2015*

### Question MCQ▾

A network is described by the state model as

The transfer function is …

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 6

Appeared in Year: *2017*

### Question MCQ▾

A second order LTI system is described by the following state equation.

When and are the two state variables and denote the input. The output . The system is

### Choices

Choice (4) | Response | |
---|---|---|

a. | Critically Damped | |

b. | Under Damped | |

c. | Over Damped | |

d. | Undamped (oscillatory) |