High-order adaptive Gegenbauer integral spectral element method for solving non-linear optimal control problems
High-order adaptive Gegenbauer integral spectral element method for solving non-linear optimal control problems
In this work, we propose an adaptive spectral element algorithm for solving non-linear optimal control problems. The method employs orthogonal collocation at the shifted Gegenbauer–Gauss points combined with very accurate and stable numerical quadratures to fully discretize the multiple-phase integral form of the optimal control problem. The proposed algorithm relies …