Consider the system given by [[x_(1)^(?)],[x_(2)^(?)]]=[[0,1],[-6,-3]][[x_(1)],[x_(2)]]+[[0],[7]]u,;y=[[1,0]][[x_(1)],[x_(2)]] And has a performance index J= int_0^( infty ) (x^(TT)[[2,0],[0,1]]x+u^(T)u)dt,;R=1 The requirement for the full-state feedback regulator system controller using LQR. Follows by: a) Find the controllability and observabil solutionspile.com

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Consider the system given by [[x_(1)^(?)],[x_(2)^(?)]]=[[0,1],[-6,-3]][[x_(1)],[x_(2)]]+[[0],[7]]u,;y=[[1,0]][[x_(1)],[x_(2)]] And has a performance index J= int_0^( infty ) (x^(TT)[[2,0],[0,1]]x+u^(T)u)dt,;R=1 The requirement for the full-state feedback regulator system controller using LQR. Follows by: a) Find the controllability and observability of the system. (6 marks) b) Determine the gain K c) Determine the optimal matrix gain K_(LQR). Note: Show calculation using manual and MATLAB.help  solutionspile.com

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Expert Answer to -   Consider the system given by [[x_(1)^()],[x_(2)^()]]=[[0,1],[-6,-3]][[x_(1)],[x_(2)]]+[[0],[7]

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Solution for -   Consider the system given by [[x_(1)^()],[x_(2)^()]]=[[0,1],[-6,-3]][[x_(1)],[x_(2)]]+[[0],[7]

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This an additional answer to -   Consider the system given by [[x_(1)^()],[x_(2)^()]]=[[0,1],[-6,-3]][[x_(1)],[x_(2)]]+[[0],[7]

(Solved): Consider the system given by [[x_(1)^()],[x_(2)^()]]=[[0,1],[-6,-3]][[x_(1)],[x_(2)]]+[[0],[7] ...

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