Course Solutions Uncategorized (Solved) : 4 Consider System 1k 1 Ik Uk Trk K 0 1 2 3 Initial State Zo 5 Cost Function K 0 Apply Dp A Q32941427 . . . .

(Solved) : 4 Consider System 1k 1 Ik Uk Trk K 0 1 2 3 Initial State Zo 5 Cost Function K 0 Apply Dp A Q32941427 . . . .

 

4. Consider the system 1k+1 =Ik + uk + trk: k=0, 1, 2, 3, with initial state zo 5, and the cost function k-0 Apply the DP algorithm for the following two cases: (a) The control constraint set U. (r) is {uG N10 Zg + tr 5) for all rk and k, and the noise tek s equal to zero for all k. (b) The control constraint is as in part (a) and the noise takes the values -1 and1 with equal probability 1/2 for all rk and uk, except ifZk + tlk is equal to 0 or 5, in which case wk-0 with probability 14.

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