Aircraft reentry trajectory optimization method based on intelligent parallel Gaussian pseudo-spectral method

Abstract

The invention relates to an aircraft reentry trajectory optimization method based on an intelligent parallel Gaussian pseudo-spectral method, which adopts an improved differential evolution algorithmto calculate a guessed value, improves a traditional adaptive pseudo-spectral method, performs discretization through the Gaussian pseudo-spectral method, and adopts an improved sparse differential sequence quadratic programming algorithm to perform trajectory optimization calculation. And meanwhile, a new trajectory optimization calculation construction method is combined, so that the solving speed of reentry trajectory optimization is increased through parallel calculation. According to the method, the triangular Gaussian variation differential evolution algorithm is combined, and the combined weight is added to adapt to the diversity of better individuals, general individuals and current individuals, so that premature convergence is avoided.

Description

technical field [0001] The invention relates to an intelligent parallel Gaussian pseudo-spectral method for aircraft reentry trajectory optimization method, which belongs to the technical field of trajectory planning. Background technique [0002] The current methods for solving optimal control are generally divided into direct method and indirect method. The indirect method transforms the problem into a two-point boundary value problem by deriving the first-order necessary condition of the optimal control problem. The direct method adopts the discretization method to discretize the aircraft equation along the trajectory direction, thus transforming the continuous-time optimal control problem into a nonlinear programming problem with finite discrete points. The Gaussian pseudospectral method transforms the trajectory optimization problem into a nonlinear programming problem, and uses Gaussian pseudospectral approximation parameterization to divide the trajectory into multip...

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Problems solved by technology

However, regardless of using the direct method or the indirect method, the trajectory optimization of the re-entry vehicle is quite sensitive to the initial value

Moreover, for the optimization problems with a series of constraints such as flying around the no-fly zone of the re-entry vehicle, satisfying heat flow constraints, and satisfying landing point constraints, the simulation analysis is slow and may not even have a feasible solution.

In response to the above problems, although there is a targeted solution to adjust the initial value through the genetic algorithm, the problem of large amount of calculation and long calculation time is unbearable for the solution of fast trajectory optimization.

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