This is one of my midterm sample problems and I\'m kind of having hard time wher

Question

This is one of my midterm sample problems and I'm kind of having hard time where to start. I would appreciate any help. Thanks

Consider the dynamical system; In an attempt to control system an observe was designed in the form with the choice Determine the dynamical equation dictating the dynamics of the error e(t)=x(t)- Determine of A-LC. Determine the eigenvalues of (matrix in companion form). Consider Ackermann's formula where C = [b. Ab, A2b]. This formula provides a state feedback gain that places the closed-loop poles at the roots of the polynomial alpha(s). Apply the formula to obtain state feedback that places the closed loop poles at

Explanation / Answer

i) e(t) = x(t) - z(t)

e'(t) = x'(t) - z'(t)

= Ax(t) + Bu(t) - Az(t) -Bu(t) - L(Cx(t) -Cz(t))

= (A-LC)*(x(t) - z(t))

e'(t) = (A-LC)*e(t)

post complete question for next part answers.

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