Considering a trivial LTI:
x' = Ax + Bu
y = Cx + Du
I was told that from this representation I can always derive a model without the direct feedthourgh matrix D in order to solve Lyapunov equation.
I was trying to do this by including the input vector u inside the state vector x, but i can't understand how.
What is the classical approach to this problem?
Have a look at https://lpsa.swarthmore.edu/Representations/SysRepSS.html
https://au.mathworks.com/help/simulink/slref/statespace.html
Thank you for the usefull website but still i couldn't find the solution to my problem in there. I saw only one (electrical) example with the D matrix, but no method on how to changing the state space representation in order to eliminate it.
You do not need to eliminate it. You know that these coefficient matrices in the form of system and input, output matrices are very important and have a major role in system dynamics. You can just follow Linear Systems & Control Theory Book for understanding such problems.
Okay, i know that. I'd like to know how can i transform a space state representation from a one having a direct feedthrough matrix, to a one without it.
- Badges
- Science topic
- Similar topics
- Vectorization