A. Siburian et V. Rehbock, Improving the robustness of optimal controls with respect to inequality constraints, NONLIN ANAL, 47(8), 2001, pp. 5659-5670
We propose a new approach to overcome the lack of robustness which optimal
open loop controls display with respect to the satisfaction of a range of i
nequality constraints. In addition to the original optimal control problem,
an auxiliary problem is defined and solved such that its solution displays
the desired robustness properties. In constructing this auxiliary problem,
it is useful to consider the sensitivities of inequality constraint functi
onals. with respect to expected uncertainties in the problem. The effective
ness of the proposed scheme is illustrated with a numerical example.