Convex Optimization of Launch Vehicle Ascent Trajectory with Heat-Flux and Splash-Down Constraints

Benedikter, Boris; Zavoli, Alessandro; Colasurdo, Guido; Pizzurro, Simone; Cavallini, Enrico

doi:10.2514/1.a35194

Cited by 22 publications

(3 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Each time region of the new generation interval should be optimized by nonlinear programming in pk mesh refinement. Therefore, the new intervals expressed in (22) are re-expressed as (25).…”

Section: F Solving Time Reduction By Pk Mesh Refinementmentioning

confidence: 99%

“…A variety of swarm intelligent algorithms were proposed to calculate the descent trajectory, such as particle swarm optimization [21], chicken swarm optimization [22], pigeoninspired optimization [23], adaptive fireworks algorithm [24], etc. Especially, the pseudospectral method is the most used for trajectory calculation both in ascent phase [12,25] and descent (also named 'reentry' or 'glide') phase [26,27].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Constraints Maintaining Mesh Refinement Method for Solving Whole Trajectory of Discontinuous Aerodynamics

Huang,

Wang,

Qiao

et al. 2023

IEEE Access

View full text Add to dashboard Cite

Solving trajectories of multi-phase dynamic advanced vehicles is difficult due to the coexistence of discontinuous aerodynamics, long-range and multi-peak features. Despite traditional phase-by-phase solving method for trajectory is expressive and easy to optimize, it loses global optimality to some extent and the state estimation between phases is cumbersome. In contrast, an all-in-one solution method for the whole trajectory can carry out global search and avoid the inter-phase state estimation, but the expression of the problem formulation is more complicated, and it is difficult to converge to a feasible solution. In this paper, we formulate the whole trajectory solving problem based on a representative vehicle and propose a constraints maintaining mesh refinement method based on the pseudo-spectral method to solve the whole trajectory allin-one. First, the proposed method presets a knot on the trajectory to construct an optimal control problem with a two-phase dynamic constraint, which maintains continuity of variables between the discontinuous aerodynamics. Second, ph-refinement is used to deal with long-range and multi-peak features throughout the trajectory. Third, to make mesh refinement and iterative solution feasible under discontinuous aerodynamics, an interval extending operator is proposed to maintain the consistency of constraints during the process of mesh refinement. Finally, the effectiveness of the proposed method for solving the whole trajectory is verified by 7 comparison experiments. The results show that the proposed method can effectively handle the whole trajectory problem of discontinuous aerodynamics, as evidenced by feasibility, convergence, optimality, and superiority.INDEX TERMS hypersonic vehicles; optimal trajectory; mesh refinement; discontinuous aerodynamics

show abstract

Section: F Solving Time Reduction By Pk Mesh Refinementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Constraints Maintaining Mesh Refinement Method for Solving Whole Trajectory of Discontinuous Aerodynamics

Huang,

Wang,

Qiao

et al. 2023

IEEE Access

View full text Add to dashboard Cite

show abstract

“…Moreover, the primal-dual interior point method can be adopted to solve the convex problem without the initial guess value. Motivated by these preponderances, the convex-optimization-based methods have been applied to different aerospace problems, such as planetary reentry trajectory optimization [9], ascent trajectory optimization [10,11], Mars-landing trajectory planning [12,13], low-thrust orbit transfer [14], spacecraft rendezvous and proximity operations [15,16], and trajectory planning for satellite cluster reconfigurations [17].…”

Section: Introductionmentioning

confidence: 99%

A Reentry Trajectory Planning Algorithm via Pseudo-Spectral Convexification and Method of Multipliers

Liang,

Luo,

Che

et al. 2024

Mathematics

View full text Add to dashboard Cite

The reentry trajectory planning problem of hypersonic vehicles is generally a continuous and nonconvex optimization problem, and it constitutes a critical challenge within the field of aerospace engineering. In this paper, an improved sequential convexification algorithm is proposed to solve it and achieve online trajectory planning. In the proposed algorithm, the Chebyshev pseudo-spectral method with high-accuracy approximation performance is first employed to discretize the continuous dynamic equations. Subsequently, based on the multipliers and linearization methods, the original nonconvex trajectory planning problem is transformed into a series of relaxed convex subproblems in the form of an augmented Lagrange function. Then, the interior point method is utilized to iteratively solve the relaxed convex subproblem until the expected convergence precision is achieved. The convex-optimization-based and multipliers methods guarantee the promotion of fast convergence precision, making it suitable for online trajectory planning applications. Finally, numerical simulations are conducted to verify the performance of the proposed algorithm. The simulation results show that the algorithm possesses better convergence performance, and the solution time can reach the level of seconds, which is more than 97% less than nonlinear programming algorithms, such as the sequential quadratic programming algorithm.

show abstract

A machine learning surrogate modeling benchmark for temperature field reconstruction of heat source systems

Chen

Gong

Wang

et al. 2023

Sci. China Inf. Sci.

View full text Add to dashboard Cite

Convex Optimization of Launch Vehicle Ascent Trajectory with Heat-Flux and Splash-Down Constraints

Abstract: to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp.

Cited by 22 publications

References 54 publications

Constraints Maintaining Mesh Refinement Method for Solving Whole Trajectory of Discontinuous Aerodynamics

Constraints Maintaining Mesh Refinement Method for Solving Whole Trajectory of Discontinuous Aerodynamics

A Reentry Trajectory Planning Algorithm via Pseudo-Spectral Convexification and Method of Multipliers

A machine learning surrogate modeling benchmark for temperature field reconstruction of heat source systems

Contact Info

Product

Resources

About