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Control Systems
State Variable Analysis

Practice questions from State Variable Analysis.

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Q#1 State Variable Analysis GATE EE 2025 (Set 1) NAT +2 marks -0 marks

Consider the state-space model

 

 

where  are the state, input and output, respectively. The matrices  are given below

 

The sum of the magnitudes of the poles is __________ (round off to nearest integer).

Explanation:

Given:

Characteristic equation,

 

 

 

Poles of the system is calculated as:

 

Sum of Magnitudes of poles

Q#2 State Variable Analysis GATE EE 2023 (Set 1) NAT +2 marks -0 marks

Consider the state-space description of an LTI system with matrices

For the input, , the value of  for which the steady-state output of the system will be zero, is __________ (Round off to the nearest integer).

Explanation:

Transfer Function is given by,