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Problem 예제.

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다음 차분 방정식으로 표시되는 불연속계(discrete data system)가 있다. 이 계의 전달함수는?

C(K+2)+5C(K+1)3C(K)=r(K+1)+2r(K)C(K+2)+5C(K+1)3C(K)=r(K+1)+2r(K)

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1

C(z)R(z)=z2+5z+3z\dfrac{C(z)}{R(z)}=\dfrac{z^2+5z+3}{z}

2

C(z)R(z)=z+2z2+5z+3\dfrac{C(z)}{R(z)}=\dfrac{z+2}{z^2+5z+3}

3

C(z)R(z)=(z+1)(z2+5z+3)\dfrac{C(z)}{R(z)}=(z+1)(z^2+5z+3)

4

C(z)R(z)=z2+5z+3z+2\dfrac{C(z)}{R(z)}=\dfrac{z^2+5z+3}{z+2}

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