Cheinshan Liu1, 2, Chunglun Kuo1, Jiangren Chang3, *
CMES-Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 33-48, 2020, DOI:10.32604/cmes.2020.08490
Abstract In the optimal control problem of nonlinear dynamical system, the
Hamiltonian formulation is useful and powerful to solve an optimal control force.
However, the resulting Euler-Lagrange equations are not easy to solve, when the
performance index is complicated, because one may encounter a two-point boundary
value problem of nonlinear differential algebraic equations. To be a numerical method, it
is hard to exactly preserve all the specified conditions, which might deteriorate the
accuracy of numerical solution. With this in mind, we develop a novel algorithm to find
the solution of the optimal control problem of nonlinear Duffing oscillator, which can
exactly… More >
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