Designing the Nonlinear Guidance Law Adaptable to Initial Deviations for the Vertical Landing of the Booster

Sharafi, Morteza; Rahbar, Nasser; Moharrampour, Ali; Kashaninia, Abdorreza

doi:10.22034/jast.2022.327899.1113

Document Type : Original Article

Authors

Faculty of Electrical & Computer Engineering, Malek Ashtar University of Technology, Tehran, Iran.

https://doi.org/10.22034/jast.2022.327899.1113

Abstract

This study proposes a new non-linear guidance law for a Falcon 9 missile booster landing's terminal phase using a non-linear vectorized high expansion method. For this purpose, At first, the dynamic modeling of the landing problem is presented, assuming mass, gravity, and density are variables. Then, sensitivity variables are extracted using the vectorized high order expansion method and assuming the parameters constant. Then, the guidance law is extracted to update the path and optimal commands using sensitivity variables. The path and commands of the near-optimal guidance are extracted online using the proposed guidance law. Considering initial deviations, the guidance law performance in simulations are studied using a combination of various initial deviations. The results shown as charts and numerical values of errors indicate that the landing point errors are insignificant, and the vectorized high order expansion method has a desirable performance for the reusable booster's vertical landing.

Keywords

20.1001.1.17352134.2022.15.1.2.0

Main Subjects

Flight Mechanics Stability & Contorl

Article Title [Persian]

Designing the Nonlinear Guidance Law Adaptable to Initial Deviations for the Vertical Landing of the Booster

Authors [Persian]

Morteza Sharafi
Nasser Rahbar
Ali Moharrampour
Abdorreza Kashaninia

Faculty of Electrical & Computer Engineering, Malek Ashtar University of Technology, Tehran, Iran.

Abstract [Persian]

Keywords [Persian]

Vectorized high order expansion
non-linear optimal control
booster landing
optimal guidance

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Journal of Aerospace Science and Technology

Designing the Nonlinear Guidance Law Adaptable to Initial Deviations for the Vertical Landing of the Booster

References

References

Volume 15, Issue 1
June 2022
Pages 14-25

Designing the Nonlinear Guidance Law Adaptable to Initial Deviations for the Vertical Landing of the Booster

References

References

Volume 15, Issue 1June 2022Pages 14-25

Volume 15, Issue 1
June 2022
Pages 14-25