Assistance solving unknowns in transfer function?

How do I solve A, B, C and D in the following transfer function in Matlab? Answers also included:

[Sam Chak]

The partfrac() function can directly show you the answers for the values of A, B, C, D. But it doesn't show you the steps to compute those values.

Are you looking for the functions from the Symbolic Math Toolbox that can be used to solve the algebraic problems for calculating A, B, C, D separately?

[Niel]

Thanks, partfrac() works very well

Answer 1

[Star Strider]

I would use the partfrac function —

syms s 
H = 8/((s^2+4)*(s+1)*(s+4))

H = 

Hpf = partfrac(H)

Hpf = 

You will likely need to interrpret the coefficients to get them in the forrm you want.

.

[Niel]

Thanks! This works very well, a lot quicker than the conventional method

[Star Strider]

As always, my pleasure!