A Feasibility Study to the Application of Interval Analysis to Re-Entry Trajectory Optimization

Chu, Weiwei; Mooij, Erwin; Kampen, E. van; Chu, Ping

doi:10.2514/6.2008-6212

Cited by 2 publications

(2 citation statements)

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“…To redefine the infinite dimensional problem into a finite dimensional, both Chu 13 and Filipe 11 applied control parameterization. Besides forming a finite dimensional problem control parameterization ensures that the found trajectory is in accordance with the Equations Of Motion (EOM), i.e.…”

Section: Control Parameterizationmentioning

confidence: 99%

“…Interval analysis has been applied to trajectory optimization by several researchers: Chu et al, 13 Filipe et al 11 The approach taken in the previous applications was to parameterize the control and perform subsequent guaranteed integration in a direct shooting context. Although successful for small scale problems, the inherent problems of interval analysis limit the applicability to larger scale problems.…”

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confidence: 99%

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Trajectory Optimization Based on Interval Analysis

Weerdt

Kampen

Chu

et al. 2011

AIAA Guidance, Navigation, and Control Conference

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Trajectory optimization has been a large field of research for many years. The drawback is that for non-convex, constrained problems practically all available solvers cannot guarantee that the globally optimal trajectory is found. Interval analysis based solvers however can provide this guarantee. Interval analysis has been applied to trajectory optimization before, but the previously presented methods suffered from major drawbacks which limited their application to small scale problems. In this paper a new interval based method is introduced which incorporates state parameterization to prevent explicit integration. The performance of the proposed method is demonstrated by applying it to a spacecraft formation flying optimization problem. The results are compared with a gradient based solver and it is shown that the interval method is guaranteed to find the global optimal solution. Finally the first steps for another new trajectory optimization method based on interval analysis and direct collocation are presented.

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Section: Control Parameterizationmentioning

confidence: 99%

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confidence: 99%