2018
DOI: 10.1016/j.actaastro.2018.03.013
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Trajectory optimization for lunar rover performing vertical takeoff vertical landing maneuvers in the presence of terrain

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Cited by 17 publications
(5 citation statements)
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“…By setting homotopy parameters and paths, a series of homotopy optimization sub-problems are solved in turn starting from an easy-to-solve problem, where the optimal solution of the current sub-problem is taken as the initial value of the next sub-problem until the solution to the original problem is obtained (Wang C and Song, 2018b). For the optimal trajectory design of VTVL transfer on the lunar surface, Ma et al (2018a) proposed a simultaneous approach and an adaptive discrete mesh refinement algorithm based on the orthogonal collocation on finite element (OCFE). Although terrain obstacle avoidance constraints in this case complicate the problem, the homotopy backtracking strategy enhances the solvability of the problem.…”
Section: Other Numerical Optimization-based Online Planning 1 Homotopy Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…By setting homotopy parameters and paths, a series of homotopy optimization sub-problems are solved in turn starting from an easy-to-solve problem, where the optimal solution of the current sub-problem is taken as the initial value of the next sub-problem until the solution to the original problem is obtained (Wang C and Song, 2018b). For the optimal trajectory design of VTVL transfer on the lunar surface, Ma et al (2018a) proposed a simultaneous approach and an adaptive discrete mesh refinement algorithm based on the orthogonal collocation on finite element (OCFE). Although terrain obstacle avoidance constraints in this case complicate the problem, the homotopy backtracking strategy enhances the solvability of the problem.…”
Section: Other Numerical Optimization-based Online Planning 1 Homotopy Methodsmentioning
confidence: 99%
“…Although it is still challenging to prove the convergence of many direct methods for NLP problems, they are effective ways to analyze planetary landing features and have developed in many directions, such as obstacle avoidance (Ma et al, 2016;Zhang B et al, 2016;Wang C and Song, 2018b), vertical takeoff and vertical landing (VTVL) simultaneous optimization (Ma et al, 2018a), and pseudospectral discrete convex optimization (Sagliano and Mooij, 2018;Sagliano, 2018aSagliano, , 2018bWenzel et al, 2018;Malyuta et al, 2019). Simulations have shown that a reasonable initial value can help quickly find the (local) optimal solution of an NLP problem, and the computing speed and convergence effect are not inferior to the counterparts of the convex optimization methods.…”
Section: Introductionmentioning
confidence: 99%
“…Ma et al [ 23 ] have suggested a trajectory optimization system for lunar rovers that performs VTVL using variable thrust propulsion in terrain. (i) A TO problem of VTVL including 3-D kinematics with dynamics mode, boundary stages, and trajectory constraints was designed.…”
Section: Recent Research Work: a Brief Reviewmentioning
confidence: 99%
“…The general idea of the homotopy technique is to solve a series of simple transition problems so that the solution of the transition problem gradually approaches the optimal solution of the primal problem. This method reduces the problem's difficulty, thereby significantly improving the success rate of trajectory planning [4,[23][24][25][26][27].…”
Section: Introductionmentioning
confidence: 99%