How can i get a transfer function from coefficient vector of size 1xn+1?

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Synchro_mdn 2019-4-30

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https://ww2.mathworks.cn/matlabcentral/answers/459299-how-can-i-get-a-transfer-function-from-coefficient-vector-of-size-1xn-1

评论： David Wilson 2019-4-30

It was requested that from a input coefficient vector of size 1 x n+1, where n is the order of the polynomial, get a rlocus plot and compute the Routh Hurwitz. The Routh stabilty creterion is already done, but the problem with my solution for the first item is that it just work if there is a 'K' controller in the input vector, eg: [2 5 9 6+K 8K], but it wont work for [2 5 9 6 8]. However, i just want to get a transfer function ([num],[dem]) from a imput vector like [ a b c d ] that comes from aS^3+bS^2+cS+d .

Thanks.

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Synchro_mdn 2019-4-30

编辑：Synchro_mdn 2019-4-30

The characteristic equation : HG+1 = 1+ 2/(s²+3s+4) =0. Then (s²+3s+4) + 2 = s²+3s+6 =0. The input vector will be [ 1 3 6]. That structure is just fine for Routh. But I need to get the original tf (2/(s²+3s+4)), from the input vector [ 1 3 6], it could be any coefficient vector.