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DFCCIL EE/EC Contol Systems QUIZ - 7
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Question 1
The state transition matrix of a system is given below:
Find the characteristic equation of the system.
![](https://gradeup-question-images.grdp.co/liveData/PROJ16194/1530514397106761.png)
Find the characteristic equation of the system.
Question 2
Consider the state space model of a system, as given below
The system is
![](https://gradeup-question-images.grdp.co/liveData/PROJ6909/1502449042420828.png)
The system is
Question 3
A single flow graph of a system is given below
![](https://gs-post-images.grdp.co/2019/2/1-img1549874849219-26.png-rs-high-webp.png)
The set of equations that correspond to this signal flow graph is
![](https://gs-post-images.grdp.co/2019/2/1-img1549874849219-26.png-rs-high-webp.png)
The set of equations that correspond to this signal flow graph is
Question 4
Consider a system characterised by the non-homogenous state equation:
Where
are states of the system and ‘u’ is the unit-step input function. Find the zero-input response of the system considering the initial state as
is given by
![](https://gradeup-question-images.grdp.co/liveData/PROJ16194/1530514387145228.png)
Where
![](https://gradeup-question-images.grdp.co/liveData/PROJ16194/1530514387866369.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ16194/153051438854660.png)
Question 5
Consider the electrical network given below.
Find the state-space representation of the system if the output is the current through the resistor.
![](https://gs-post-images.grdp.co/2019/9/1-img1569147239477-11.png-rs-high-webp.png)
Find the state-space representation of the system if the output is the current through the resistor.
Question 6
Transfer function of a system is given as
Find the state-space representation of the above system.
![](https://gradeup-question-images.grdp.co/liveData/PROJ16285/1530511351074727.png)
Find the state-space representation of the above system.
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