Re-entry trajectory optimization using an <i>hp</i>-adaptive Radau pseudospectral method

Han, Peng; Shan, Jiayuan; Meng, Xiuyun

doi:10.1177/0954410012461745

Cited by 37 publications

(26 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Several extensions of the hp-adaptive pseudospectral method have been used in the reentry trajectory optimization for CAVs and RLVs [46,[63][64][65]. The costate estimation in optimal control problems also uses hp-method [66].…”

Section: Fig 6 Comparisons Of Dps and Cps For The H-methods And P-methodsmentioning

confidence: 99%

“…Recent work also showed that the hp-adaptive method demonstrates faster computation time than the traditional pseudospectral methods [46]. A tradeoff between the number of collocation points, grid iterations, and mesh intervals may notably save the computation time.…”

Section: Rapid Trajectory Optimizationmentioning

confidence: 97%

“…The popular pseudospectral methods include the Chebyshev pseudospectral method (CPM) [33,34], Legendre pseudospectral method (LPM) [35][36][37][38][39][40][41], Radau pseudospectral method (RPM) [42][43][44][45][46][47], and Gauss pseudospectral method (GPM) [48][49][50][51][52][53][54][55][56]. The features of the four methods are shown in Table 1.…”

Section: Outlinementioning

confidence: 99%

“…Thus, the RPM increasingly becomes a good choice for reentry trajectory optimization of hypersonic vehicles. The RPM has been applied to the design of the optimal reference trajectory for the suborbital launch vehicle (SLV) and RLV that steers the vehicles to a specified destination [46,47].…”

Section: Rpmmentioning

confidence: 99%

See 3 more Smart Citations

Progress in reentry trajectory planning for hypersonic vehicle

Zhao

Zhou

Jin

2014

J. of Syst. Eng. Electron.

View full text Add to dashboard Cite

The reentry trajectory planning for hypersonic vehicles is critical and challenging in the presence of numerous nonlinear equations of motion and path constraints, as well as guaranteed satisfaction of accuracy in meeting all the specified boundary conditions. In the last ten years, many researchers have investigated various strategies to generate a feasible or optimal constrained reentry trajectory for hypersonic vehicles. This paper briefly reviews the new research efforts to promote the capability of reentry trajectory planning. The progress of the onboard reentry trajectory planning, reentry trajectory optimization, and landing footprint is summarized. The main challenges of reentry trajectory planning for hypersonic vehicles are analyzed, focusing on the rapid reentry trajectory optimization, complex geographic constraints, and cooperative strategies.

show abstract

Section: Fig 6 Comparisons Of Dps and Cps For The H-methods And P-methodsmentioning

confidence: 99%

Section: Rapid Trajectory Optimizationmentioning

confidence: 97%

Section: Outlinementioning

confidence: 99%

Section: Rpmmentioning

confidence: 99%

See 2 more Smart Citations

Progress in reentry trajectory planning for hypersonic vehicle

Zhao

Zhou

Jin

2014

J. of Syst. Eng. Electron.

View full text Add to dashboard Cite

show abstract

“…Then the optimal problem is transcribed to a normal nonlinear programming (NLP) problem, in which variables to be optimized are the coefficient of basis functions [6]. Because there are numerous well-developed software package(e.g.…”

Section: Introductionmentioning

confidence: 99%

Design of landing trajectory for unpowered aircraft using an hp-adaptive Radau pseudospectral method

Cai

Lin

et al. 2014

Proceedings of 2014 IEEE Chinese Guidance, Navigation and Control Conference

View full text Add to dashboard Cite

Aiming at the problem of an emergency landing of unpowered aircraft, this paper presents the design of landing trajectory. Firstly, the effect of the shear wind for the flight path is considered. Secondly, the problem of unpowered flight's landing is modeled by the time-optimal control method. The landing trajectory is divided into four piecewise trajectories and the characteristics of each are determined by some simple equations. The deflection angle of turn is obtained by the Dubins curves method. Thirdly, the problem is solved by the hp-adaptive radau pseudospectral method. Simulation results indicate that the designed landing trajectory could guide the unpowered plane landed safely and quickly.

show abstract

A novel adaptive Gauss pseudospectral method for nonlinear optimal control of constrained hypersonic re‐entry vehicle problem

Xiao

Liu

et al. 2018

Adaptive Control & Signal

View full text Add to dashboard Cite

SummaryOptimal control of constrained hypersonic re‐entry vehicle is difficult due to the complex nonlinear dynamics and nonlinear constraints. A novel adaptive Gauss pseudospectral method with some new strategies is therefore proposed to deal with the optimal control problem of hypersonic re‐entry vehicle to ensure that the complex constraints are satisfied all the way. First, state transformation is applied to make the variables more uniform in quantities. Second, some extreme points are applied in designing appropriate subintervals to track the control profiles effectively and the collocation points are adaptively redistributed based on the evaluated approximation errors. Third, a detection procedure is proposed to ensure that the constraints are satisfied all the way during the whole re‐entry process. The proposed method is illustrated by testing a hypersonic re‐entry vehicle problem. The results reveal that path constraints and terminal conditions are well satisfied. The research results, including the comparison with other methods, such as the classical Gauss pseudospectral method and the control vector parameterization method, show the effectiveness of the proposed adaptive approach.

show abstract

Re-entry trajectory optimization using an hp-adaptive Radau pseudospectral method

Cited by 37 publications

References 18 publications

Progress in reentry trajectory planning for hypersonic vehicle

Progress in reentry trajectory planning for hypersonic vehicle

Design of landing trajectory for unpowered aircraft using an hp-adaptive Radau pseudospectral method

A novel adaptive Gauss pseudospectral method for nonlinear optimal control of constrained hypersonic re‐entry vehicle problem

Contact Info

Product

Resources

About