Uncertainty Analysis for Return Trajectory of Vertical Takeoff and Vertical Landing Reusable Launch Vehicle

Zhao, Jian; Li, Haiyang; He, Xiangyue; Huang, Yuechen; Liu, Jianghui

doi:10.1155/2020/4313758

Cited by 4 publications

(4 citation statements)

References 30 publications

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“…Figure 5. Falcon 9 landing status and landing pad [19]. It has been proved that the four-legged structure is more stable than the three-legged structure when the road surface is horizontal or inclined as a whole, and the beam-type legged lander with concentrated mass at the end has better stability.…”

Section: Leg Landermentioning

confidence: 99%

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Analysis of the development of reusable launch vehicle technology

Wu,

Zhang

2023

ACE

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Nowadays, with the development of the space technology and the maturity of traditional launch vehicle technology, there are sufficient foundations for the research of higher-level space vehicles. As space vehicles gradually enter the commercial market, the demand for better cost control and higher carry capacity has been put forward. The recovery and reuse of space vehicles, especially launch vehicle, often means higher resource utilization and effective cost control, which has unprecedented advantages in business mode. Many countries and organizations have shown concern about the reusable vehicles. In order to facilitate the further research of reusable rocket technology, this article summaries the research and developments of reusable vehicles over the years and sorts out the overall scheme and key technologies of it. In particular, in view of the successful case of Falcon 9, this article analyses the commercialization experience of SpaceX reusable rockets and its business model. This article may offer a reference for the reusable rocket technology development.

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Section: Leg Landermentioning

confidence: 99%

“…The main structure of the current reusable launch vehicle lander can be divided into two main forms, simple pillar and space rocker [19,20].…”

Section: Leg Landermentioning

confidence: 99%

Analysis of the development of reusable launch vehicle technology

Wu,

Zhang

2023

ACE

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“…The actual flight of the LV is usually affected by various uncertainties [37][38][39], the most common one is the variation of atmosphere environment. Especially, the impact is obvious to the-first-stage flight, due to a dense atmosphere condition at this stage, as shown in Fig.…”

Section: Uncertainty Propagation Problemsmentioning

confidence: 99%

A novel linear uncertainty propagation method for nonlinear dynamics with interval process

Zhang

et al. 2022

Nonlinear Dyn

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Interval process is a preferable model for time-varying uncertainty propagation of dynamic systems when only the range of uncertainties can be obtained. However, for nonlinear systems, except Monte Carlo (MC) simulation, there are still few efficient uncertainty propagation methods under the interval process model. This paper develops a non-intrusive and semi-analytical uncertainty propagation method, named 'Convex Model Linearization Method (CMLM)', by constructing a linearization formulation of a nonlinear system in a non-probabilistic sense. First, the criterion to evaluate the difference between the original system and the linearization formulation is derived, represented by discrepancy of middle-point, radius, and correlations of response. By minimizing these three parameters, the coefficients of linear equations will be optimized to obtain the linearization formulation of the original system. Then, the analytical equations are built to calculate uncertainty response under the interval process, without time-consuming analysis of the original system. To further improve the efficiency of the linearization process, Chebyshev-polynomial is introduced to approximate the nonlinear dynamic analysis. Two numerical examples that duffing oscillator and vehicle ride are set to tested the proposed CMLM. Compared to MC method, with comparable uncertainty response precision, the CMLM just need 1%-10% times of dynamic analysis of the nonlinear system. Furthermore, a practical launch vehicle ascent trajectory problem with black-box dynamics is solved by, respectively, the CMLM and MC method. The results verify the capacity of the CMLM to deal with black-box problems and show that the CMLM performs better in terms of accuracy, efficiency and robustness.

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“…There are two commonly used coordinate systems for modeling rocket vertical landing problems, the velocity coordinate system [16][17][18][19][20] and the landing point coordinate system [21][22][23][24][25]. In this paper, the three-degree-of-freedom dynamics of the rocket are derived based on the landing point coordinate system.…”

Section: Introductionmentioning

confidence: 99%

Fault-Tolerant Guidance of Rocket Vertical Landing Phase Based on MPC Framework

Long

et al. 2022

International Journal of Aerospace Engineering

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For the vertical landing process of reusable rockets, the landing accuracy is likely to be affected by disturbances and faults during flight. In this paper, a fault-tolerant guidance method based on the MPC framework is put forward. First, we propose a piecewise guidance algorithm that combines a trajectory optimization algorithm based on convex optimization with the MPC framework. With the fast trajectory optimization algorithm and the MPC framework that recursively introduces the real-time state, this algorithm forms a robust closed loop. Then, we design an integrated guidance, navigation, and control (GNC) system to enhance the fault tolerance and robustness of the guidance method. Simulation experiments verify that this method is fault-tolerant to various fault conditions including navigation system failures, control system failures, drag coefficient deviations, and atmospheric density deviations. This guidance method is robust enough to overcome disturbances and faults, and it has great potential for online use.

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Uncertainty Analysis for Return Trajectory of Vertical Takeoff and Vertical Landing Reusable Launch Vehicle

Cited by 4 publications

References 30 publications

Analysis of the development of reusable launch vehicle technology

Analysis of the development of reusable launch vehicle technology

A novel linear uncertainty propagation method for nonlinear dynamics with interval process

Fault-Tolerant Guidance of Rocket Vertical Landing Phase Based on MPC Framework

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