UAS SISTEM KENDALI LINEAR

UAS SISTEM KENDALI LINEAR TRIK 3C (6-7-2023/take home test)

1. For the system shown in figure, choose state variables as v1(t) and v2(t) and write down the state equqtions.

2. Consider a single input single output system whose state variable description is given by

 

1 1

2 2

1 2

x 0 1 x 0

= + u

x -12 -8 x 1

y= 8 1 x x

      

      

   

   

  

 





Determine the transfer function.

3. A system is characterised by the transfer function

3 2

V(s) 2

U(s) S +6S +11S+6=

Test the controbility and observability of the system.

4. Verify the observability of a control system which is represented in the state space model

 

1 1

2 2

1 2

x -2 -2 x 1

= + u

x 1 0 x 1 y= 1 1

x

x x

      

       

   

   

  

 

 

