To automate the process of extracting coefficients and assembling them into a consistent matrix format, you can use symbolic manipulation techniques in MATLAB. The goal is to ensure that each expression's coefficients are extracted in a consistent order corresponding to a predefined list of symbolic variables. Here is how you can approach this problem:
- Define the Variables: Start by defining all the symbolic variables consistently across your expressions. This ensures that you always have the same reference for coefficient extraction.
- Symbolic Expressions: Construct your symbolic expressions using these predefined variables.
- Extract Coefficients: Use MATLAB's symbolic toolbox functions to extract coefficients in the correct order.
- Assemble the Matrix: Construct your matrix by placing the extracted coefficients in the correct positions, filling in zeros where necessary.
I hope this helps!
