Consider the system x(k+1)=Gx(k) + Hu(k) G-1-8 where 0 G= -0.5 1] and the performance index...

  

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Consider the system x(k+1)=Gx(k) + Hu(k) G-1-8 where 0 G= -0.5 1] and the performance index 0000 H= x(0) where J = (x*(k)Qx(k) + u*(k)Ru(k)] 120010- Q = R = 1 0.5 22 Determine the optimal control law to minimize the performance index. Also, determine the minimum value of J. Consider the system x(k+1)=Gx(k) + Hu(k) G-1-8 where 0 G= -0.5 1] and the performance index 0000 H= x(0) where J = (x*(k)Qx(k) + u*(k)Ru(k)] 120010- Q = R = 1 0.5 22 Determine the optimal control law to minimize the performance index. Also, determine the minimum value of J.