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

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SAMUDRA PANDA 2021-12-8

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1605885-i-have-a-transfer-function-with-very-large-coeficient-how-to-reduce-it-to-a-readable-tf-form

评论： Awais Saeed 2021-12-8

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?

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Answer 1

Awais Saeed 2021-12-8

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1605885-i-have-a-transfer-function-with-very-large-coeficient-how-to-reduce-it-to-a-readable-tf-form#answer_850250

在 MATLAB Online 中打开

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 =

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SAMUDRA PANDA 2021-12-8

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 2021-12-8