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Question: Isolating a fraction

Question:Isolating a fraction

Thygesen 0 Maple
October 21 2011
0

In feedback control I want to isolate the fraction that defines my system: output/input.

This cannot directly be done by solve, isolate or simplify  in any of my attempts. What I've done is to follow the solutions for the following problem: http://www.mapleprimes.com/questions/37686-Isolating-Variable-Quotient

But my problem is apparently a little more hairy, since solving for output and dividing by input does not give me the answer, since RHS contains more than 1 term. The equation:

A[p]*v+C[L]*(M[L]*v*s+B[p]*v+F[L])/A[p]+V[t]*s*(M[L]*v*s+B[p]*v+F[L])/((4*beta)*A[p]) = k[q]*xv-k[qp]*(M[L]*v*s+B[p]*v+F[L])/A[p]

Which needs to be isolated for v/xv. The best solution I've been able to come up with is:

siderels := v/xv

solve({siderels = TF, A[p]*v+(M[L]*v*s+B[p]*v+F[L])/A[p]+(1/4)*V[t]*s*(M[L]*v*s+B[p]*v+F[L])/(beta*A[p]) = k[q]*xv-k[qp]*(M[L]*v*s+B[p]*v+F[L])/A[p]}, {TF, v})

but the result, TF, is still dependent on xv.

 

Any ideas would be greatly appreciated!
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