Improved time-optimal static programming algorithm for hypersonic vehicle

Abstract

To resolve the problem that the performance index is not optimal under the free terminal time, an improved time-optimal static programming algorithm (ITOSP) is introduced for the hypersonic vehicle. In this algorithm, the optimal initial value generator (OIVG) is used to generate optimal initial values for subsequent static programming algorithm. The improved static programming (ISP) algorithm is used to produce trajectories that satisfy the constraints with Trapezoidal integral. And the improved particle swarm optimisation (IPSO) algorithm is applied to optimise the terminal time to minimise performance index. To verify the feasibility and accuracy of the proposed method, the analysis and simulation of hypersonic vehicle static programming example for the free and fixed terminal time are carried out in three-dimensional (3D) scene. Compared to the general-purpose optimal control software (GPOPS), the proposed method has good convergence accuracy of terminal states, and the accuracy of terminal errors is improved significantly.

KEYWORDS:

• Hypersonic vehicle
• optimal control
• terminal angle constraint
• static programming
• improved particle swarm optimisation
• free terminal time

Data availability statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The authors would like to appreciate the financial support from Aeronautical Science Foundation Project [grant numbers 20180153002 and 20200001053001]; and Chinese Aeronautical Establishment.