Solve the following optimal control problem with the given boundary conditions: 1/f ² w ² min_ J = = 2 s.t ₁(t) = x₂(t), u² (t) dt x₁ (0) = 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 30E
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Solve the following optimal control problem with the given boundary conditions:
2
1
u²(t)dt
2 Jo
min J
s.t : i1(t) = x2(t),
x1(0) = 0
å2(t) =
–x2(t) + u(t),
x2(0) = 0
x1(2) + 5x2(2) = 15
Transcribed Image Text:Solve the following optimal control problem with the given boundary conditions: 2 1 u²(t)dt 2 Jo min J s.t : i1(t) = x2(t), x1(0) = 0 å2(t) = –x2(t) + u(t), x2(0) = 0 x1(2) + 5x2(2) = 15
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,