Problem 예제.

Multiple Choice • Views 866 • Comments 0 • Last Updated at 1 month ago  
  • 전달함수
  • 전달함수와 상태방정식

X(s)Y(s)=2(s+1)2\dfrac{X(s)}{Y(s)}=\dfrac{2}{(s+1)^2}의 전달 함수를 미분 방정식으로 표시하면?

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1

y(t)=dx(t)dt+x(t)+1y(t)=\dfrac{dx(t)}{dt}+x(t)+1

2

2x(t)=d2y(t)dt2+2dy(t)dt+y(t)2x(t)=\dfrac{d^2y(t)}{dt^2}+2\dfrac{dy(t)}{dt}+y(t)

3

y(t)=2dx(t)dt+x(t)+x(t)dty(t)=2 \dfrac{dx(t)}{dt}+x(t)+\int x(t)dt

4

y(t)=12d2x(t)dt2+dx(t)dt+12x(t)y(t)=\dfrac{1}{2} \dfrac{d^2x(t)}{dt^2}+\dfrac{dx(t)}{dt}+\dfrac{1}{2}x(t)

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