How to assign the difference of system input and the states in the input matrix?

Hi, I'm quite confused on how to assign the input matrix which is a difference of two numbers.Well, they aren't really numbers,so to be specific, the difference of lateral position of the wheelset and the track disturbance(input is a step signal).

The parameters associated with the lateral position is -((W*lambda)/(m_w*l))y, where y denotes the position. Hence the output should be a difference of position and track input.

Answer 1

[Mischa Kim]

Based on your problem description I am not quite sure what you want to achieve. I assume you are trying to set up a typical feedback control system, where you would select K to yield a stable system. Can you elaborate?

[Mischa Kim]

• You are saying the wheelset position is given by -((W*lambda)/(m_w*l))y. Do you mean -((W*lambda)/(m_w*l))u, where u = [d_F; d_R]?
• How is the track position defined? Algebraic average of front and rear wheelset?