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An open-loop control system has the following state-space model:
(a) Find characteristic equation of the open-loop control system model.
(b) What is the characteristic equation of the closed-loop system with characteristic roots of λ = -6, -1 ± 3i
(c) Find the controllability matrix, V, of the model.
(d) Find the feedback gain of the closed loop model.
The system has a solution near (-0.5,-0.7). Set up the matrix equation Jδ = -f for Newton's method and then carry out one iteration, starting with x 0 = -0.5, y 0 = -0.7.
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y"+3y''+2y=0
a) Use divided differences to ?nd the polynomial (in nested form) that interpolates the data b) Add the data point x = 6, y = -20 and hence estimate y for x = 2.
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