solving for x in a state space model

Hi, Assume that we have a diff equation as :

where x is nx1 and A is nxn and b is nxm and u is mx1. How do I perform algorithm to find for x given an initial values of x? If matrix A is containing different parameters from workspace how do I insert these values to a new matrix in simulink? and regarding the integrator block , how will it perform the integration when you have arrays/matrices? row by row or matrix calculations? and how do you give the initial values of x in such model?

In fact I have an observator looking like:

I use a matlab function for calculating the inverse of jacobian. for multiplication of jacobian and gain K I used the matrix multiplication block in simulink. and for addition of these terms I used a sum block. and for integration I used a integrator block. Am I doing this correctly?

Answer 1

[Suhan]

I have attached here a model 'Sample_Model.slx' which can solve the above differential equation. I have used dummy values for matrix A and B in the model, you can replace it by the actual values.

You can set the initial values for the state X in the 'integrator' block which does element wise integration of the input array.

If the matrix A is defined in case workspace, you can directly enter 'A' in the constant block. Also, note that you have to use 'matrix multiplication' in the product block.

[Peppe]

I'm sorry . I can't see you attached file. Where is it?

[Peppe]

I still cant see the attached file. Can you update your post Suhan

[Jan]

[MOVED from flags] Maa wrote:

Where is the model