CONVERT FROM TRANSFER FUNCTION FORM TO STATE SPACE FORM AND COMPUTE THE EIGENVALUES AND EIGENVECTORS Y(s)...

Question

Question

CONVERT FROM TRANSFER FUNCTION FORM TO STATE SPACE FORM AND COMPUTE THE EIGENVALUES AND EIGENVECTORS

Y(s) U(s) ー0.0 1785G3 +77.88 +0.496s +0.446) (s2 +0.00466s +0.0053)(s2+0.806s+1.311)

Answer 1

Answer #1

we do as following

y(s)[s⁴ +0.81066+1.3200596s² +0.0069483]=u(s)[-0.01785s³ -1.38873s² -0.0088536s-0.0079611]

this gives

s⁴y(s)+1.3200596s² y(s)+0.0069483y(s)+0.81066y(s)=-0.01785s³ u(s)- 1.38873s² u(s) -0.0088536su(s)-0.0079611u(s)

this gives the following differential equation

y+0.81066y+1.32005596y+0.0069483y=-0.01785u-1.38873u-0.0088536u-0.0079611

Answer 2

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