Find the optimal control of the plant - which minimize the
Problem: Find the optimal control u*(t) of the plant
x.1(t) = x2(t); x1(0) = 3, x1(2) = 0
x.2(t) = -2x1(t) + 5u(t); x2(0) =5, x2(2) = 0
which minimize the performance index
J = 1/2 0∫2[x12(t) + u2(t)]dt.
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problem find the optimal control ut of the plantx1t x2tnbspnbsp x10 3nbsp x12 0x2t -2x1t 5utnbsp x20 5nbsp x22
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