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Design of Reentry Trajectory Optimization Based on Energy-consuming under Multi-Constraints

Weijun Hu

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Abstract

The design of reentry trajectory optimization under multi-constraints was studied in this paper. The energy was introduced to replace time as integral variable for solving the uncertainty of reentry time. The rough model of control variables was chosen depending on the characteristics of reentry phase, so that the search of optimal control variables was transformed to the optimization of parameters of control model, which made the realization of optimal control easier. The constraints in the course of reentry and the terminal state constraints were dealt with as the supplement of performance index function, so that the optimization problem under constraints became an optimization problem without constraints to be solved by Neldes-Mead method. Simulation results show that an optimal reentry trajectory under constraints can be obtained fleetly using this method, and optimization algorithm is simple and easy. This method is a viable approach for solving the problem of reentry trajectory optimization.

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What this paper is about

The design of reentry trajectory optimization under multi-constraints was studied in this paper. The energy was introduced to replace time as integral variable for solving the uncertainty of reentry time. The rough model of control variables was chosen depending on the characteristics of reentry phase, so that the search of optimal control variables was transformed to the optimization of parameters of control model, which made the realization of optimal control easier. The constraints in the course of reentry and the terminal state constraints were dealt with as the supplement of performance index function, so that the optimization problem under constraints became an optimization problem without constraints to be solved by Neldes-Mead method. Simulation results show that an optimal reentry trajectory under constraints can be obtained fleetly using this method, and optimization algorithm is simple and easy. This method is a viable approach for solving the problem of reentry trajectory optimization.

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Available abstract

The design of reentry trajectory optimization under multi-constraints was studied in this paper. The energy was introduced to replace time as integral variable for solving the uncertainty of reentry time. The rough model of control variables was chosen depending on the characteristics of reentry phase, so that the search of optimal control variables was transformed to the optimization of parameters of control model, which made the realization of optimal control easier. The constraints in the course of reentry and the terminal state constraints were dealt with as the supplement of performance index function, so that the optimization problem under constraints became an optimization problem without constraints to be solved by Neldes-Mead method. Simulation results show that an optimal reentry trajectory under constraints can be obtained fleetly using this method, and optimization algorithm is simple and easy. This method is a viable approach for solving the problem of reentry trajectory optimization.

Key concepts: Reentry, Trajectory optimization, Trajectory, Optimal control, Control variable, Optimization problem, Mathematical optimization, Control theory (sociology)

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