Pre$-$Lab Exercises $-$ D:

Write a generalized program in MATLAB which takes the coefficients of the denominator of

a system transfer function as input and tests the system stability by Sch$$r Cohn stability test

method.

Algorithm:

Take the inputs from the user.

Set $a_N(k)=a_k$ for $k=1,2,$cdotscdots,$N$

Set $K_N=a_N(N)$

Then for $m=N,N-1,$cdotscdots,$1,$ compute $K_m=a_m(m)$ where $a_{m-1}(0)=1$

Then compute $a_{m-1}(k)=\frac{a_m(k)-K_m{b}_m(k)}{1-K_m^2},k=1,2,$cdotscdots,$m-1$

where $b_m(k)=a_m(m-k),k=0,1,$cdotscdots,$m$