R. Pytlak et Rb. Vinter, Feasible direction algorithm for optimal control problems with state and control constraints: Implementation, J OPTIM TH, 101(3), 1999, pp. 623-649
In this paper, we describe the implementation aspects of an optimization al
gorithm for optimal control problems with control, state, and terminal cons
traints presented in our earlier paper. The important aspect of the impleme
ntation is that, in the direction-finding subproblems, it is necessary only
to impose the state constraint at relatively few points in the time involv
ed. This contributes significantly to the algorithmic efficiency. The algor
ithm is applied to solve several optimal control problems, including the pr
oblem of the abort landing of an aircraft in the presence of windshear.