Find the controllability matrix, Engineering Mathematics

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An open-loop control system has the following state-space model:

1310_matrix multiplication.png

(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.

 

 


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