We have an exam coming up on control theory and one question will be similar to the one I am trying to answer now on current value hamiltonian.
Exercise 4: Consider the problem of minimizing
. . . . .\(\displaystyle \displaystyle \int_0^2\, \left(x^2\, +\, u^2\right)\,e^{-0.03t}\, dt,\, \mbox{ where }\, x\,=\, x(t),\, u\, =\, u(t)\)
subject to:
. . . . .\(\displaystyle \dot{x}\, =\, x\, -\, 2u,\, \mbox{ where }\, x(0)\, =\, 3, \, x(2)\, \mbox{ free}.\)
Solve the problem using the current value Hamiltonian.
Can somebody show me how to solve it
Exercise 4: Consider the problem of minimizing
. . . . .\(\displaystyle \displaystyle \int_0^2\, \left(x^2\, +\, u^2\right)\,e^{-0.03t}\, dt,\, \mbox{ where }\, x\,=\, x(t),\, u\, =\, u(t)\)
subject to:
. . . . .\(\displaystyle \dot{x}\, =\, x\, -\, 2u,\, \mbox{ where }\, x(0)\, =\, 3, \, x(2)\, \mbox{ free}.\)
Solve the problem using the current value Hamiltonian.
Can somebody show me how to solve it
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