Reachability Using Arbitrary Performance Indices

Holzinger Marcus J.; Scheeres Daniel J.; Hauser John

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Reachability Using Arbitrary Performance Indices

机译：使用任意性能指标的可达性

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The problem of optimal reachability set computation with alternate performance indices and independent parameters for smooth value functions is motivated and examined. A General Independent Parameter Hamilton Jacobi Bellman PDE formulation is derived and an independent parameter mapping function is defined. Performance index metric properties are leveraged to define Generalized Metric Range Sets. For Newtonian systems it is shown that singular independent parameter mappings can be circumvented using constants of motion. Finally, the motivating problem is solved using the central results of this technical note to generate free-time, -constrained orbital metric range sets.

机译：激励和研究了具有交替性能指标和独立参数的最佳可达性集计算问题，该问题具有平滑值函数。推导了通用独立参数Hamilton Jacobi Bellman PDE公式，并定义了独立参数映射函数。利用性能指标指标属性来定义通用指标范围集。对于牛顿系统，表明可以使用运动常数来规避奇异的独立参数映射。最后，使用本技术说明的主要结果来解决激励问题，以生成自由时间受限的轨道度量范围集。

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《Automatic Control, IEEE Transactions on》 |2015年第4期|1099-1103|共5页
作者
Holzinger Marcus J.; Scheeres Daniel J.; Hauser John;
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正文语种 eng
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关键词
Dynamics; Fuels; Measurement; Optimal control; Optimized production technology; Space vehicles; Trajectory; Hamilton Jacobi Bellman partial differential equation (HJB PDE); Range; Reachability;

机译：动力学;燃料;测量;最优控制;优化生产技术;航天器;弹道;汉密尔顿·雅可比·贝尔曼偏微分方程（HJB PDE）;范围;可达性;

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Reachability Using Arbitrary Performance Indices

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