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Unformatted text preview: above! But what if there is a zero? Then, for example Break this down into two transfer functions, one with only poles the other with only zeros 6 The rst block can simply be represented as the state space model we developed earlier. However, now the output is a linear combination of derivatives of x 1 . In particular So, in the time domain we have or nally Hence the zeros are created by the elements of the C matrix. 7 Example Break G ( s ) down into two T.F.s Obtain the state space model for the rst block. Its D.E. is Dene states as Then from the D.E. So our state D.E. is 8 For the second block we have or in the time domain so Lets look at this system in terms of our block diagram The zero is created by feeding the x 2 state forward. The feed forward combination is created by the C matrix. 9...
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 Fall '03
 willcox
 Derivative, Vector Space, Aeronautics, state space model

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