I have a transfer function with very large coeficient, how to reduce it to a readable tf form?

TF =

(579897794885098601073766651512401860000/(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253) + (9671406556917033397649408000000000*(1501*s + 100000))/(1501*(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253)))*(8698466923276477988440375296000/(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253) + (87042659012253300578844672*(1501*s + 100000))/(1501*(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253))) - (2901421967075110019294822400000*(1501*s + 100000))/(1501*(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253)) + (193299264961699518184308080640000*(1501*s + 100000)*(173969338465529586157086572544/(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253) - (3298534883328000*(2199023255552*s + 1553917832370967))/(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253)))/(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253)

how to reduce it to a readable by using equivalent decimal coefficient?

Answer 1

[Awais Saeed]

Try using simplify()

syms s
TF =(579897794885098601073766651512401860000/(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253) + (9671406556917033397649408000000000*(1501*s + 100000))/(1501*(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253)))*(8698466923276477988440375296000/(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253) + (87042659012253300578844672*(1501*s + 100000))/(1501*(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253))) - (2901421967075110019294822400000*(1501*s + 100000))/(1501*(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253)) + (193299264961699518184308080640000*(1501*s + 100000)*(173969338465529586157086572544/(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253) - (3298534883328000*(2199023255552*s + 1553917832370967))/(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253)))/(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253);
simplify(TF)

ans = 

[SAMUDRA PANDA]

I have used it bt it's coming like this....

TF =

(579897794885098601073766651512401860000/(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253) + (9671406556917033397649408000000000*(1501*s + 100000))/(1501*(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253)))*(8698466923276477988440375296000/(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253) + (87042659012253300578844672*(1501*s + 100000))/(1501*(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253))) - (2901421967075110019294822400000*(1501*s + 100000))/(1501*(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253)) + (193299264961699518184308080640000*(1501*s + 100000)*(173969338465529586157086572544/(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253) - (3298534883328000*(2199023255552*s + 1553917832370967))/(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253)))/(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253)

>> simplify(TF)

ans =

-(527765581332480000*(89902455152016965621975869322772671834378731520*s^3 + 9056169989310503253778959698640609689065756735569920*s^2 + 6380961921611687163870233378111728780902981162493804544*s - 21148548926905923256153472181785113885035178309071810681375))/(2253001*(7258390620966233564935880704*s^2 + 5612639605197518675705314934784*s + 17738643991613027535246891426332253)^2)

>>

[SAMUDRA PANDA]

Are your answer and my answer same?, i mean have u used any type of divison or somthing?

[Awais Saeed]

I am not sure why you are getting a different answer. I am getting the same answer on Live editor and on my desktop MATLAB as well.