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The Intelligent Trajectory Optimization of Multistage Rocket with Gauss Pseudo-Spectral Method

Lihua Zhu1,*, Yu Wang1, Zhiqiang Wu1, Cheire Cheng2

1 School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, 210094, China
2 Department of Electrical and Electronic Engineering, Colorado State University, Colorado, United States

* Corresponding Author: Lihua Zhu. Email:

Intelligent Automation & Soft Computing 2022, 33(1), 291-303.


The rapid developments of artificial intelligence in the last decade are influencing aerospace engineering to a great extent and research in this context is proliferating. In this paper, the trajectory optimization of a three-stage launch vehicle in the powering phase subject to the sun-synchronous orbit is considered. To solve the optimal control problem, the Gauss pseudo-spectral method (GPM) is used to transform the optimization model to a nonlinear programming (NLP) problem and sequential quadratic programming is applied to find the optimal solution. However, the sensitivity of the initial guess may cost the solver significant time to do the Newton iteration or even lead to the local minimum. Aiming at this issue, a good initial guess generated by combination of harmony search and GPM is introduced to help the optimizer to faster and better solve the sun-synchronous orbit (SSO) trajectory optimization. Comparative simulation tests are conducted with the proposed algorithm and popular approaches, the results indicate that with the optimized initial guess, the proposed method could achieve better performance in terms of convergence ability and convergence rate.


Cite This Article

L. Zhu, Y. Wang, Z. Wu and C. Cheng, "The intelligent trajectory optimization of multistage rocket with gauss pseudo-spectral method," Intelligent Automation & Soft Computing, vol. 33, no.1, pp. 291–303, 2022.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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