Aircraft trajectory sequence convex optimization method based on heterogeneous time grid discretization

Abstract

The application discloses a method for convex optimization of aircraft trajectory sequence based on heterogeneous time grid discretization, and relates to the technical field of aircraft trajectory planning. The method breaks through the limitation of traditional homogeneous time grid discretization, allows different dimension state variables, control variables and constraint conditions in aircraft trajectory planning to be independently configured with discrete time nodes, introduces an augmented time node to solve the mismatching problem of different dimension discrete time nodes, and realizes fast and high-precision optimization of the trajectory in combination with a sequential convex programming framework. The application has the following advantages: discrete nodes can be distributed according to the dynamic characteristics of different dimension variables, the total number of optimization variables and the number of constraints can be effectively reduced while ensuring the discretization precision, the calculation efficiency is improved, and the real-time performance of the sequential convex optimization method in six-degree-of-freedom aircraft trajectory planning is improved.

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