Barrier function nonlinear optimization for optimal Decompression of divers

— This paper is based on a comprehensive dynamic mathematical model (Copernicus) of vascular bubble formation and growth during and after decompression from a dive. The model describes the underlying relationship between Venous Gas Emboli (VGE) and risk of severe Decompression Sickness (DCS). By using the Copernicus model the diving decompression problem can be formulated as a nonlinear optimal control problem, where the objective is to minimize the total ascend time subject to constraints on the maximum number of bubbles in the pulmonary artery (also referred to as the decompression stress). A recent study reveals that the optimal solution can be obtained by solving the optimization problem with some equality constraints. Inspired by which, a simpler approach using barrier function is proposed in this paper, through which we achieve a more efficient and robust numerical implementation. The paper also studies the effect of ascent profile parameterization.

• Type: Conference
• Year: 2009
• Where: CDC
• Authors: Le Feng, Christian R. Gutvik, Tor Arne Johansen, Dan Sui
• Keywords: CDC 2009, Control Systems, Diving Decompression Problem, Dynamic Mathematical Model, Severe Decompression Sickness