Piecewise Polynomial Control

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A control parameterization method that represents the continuous control function as piecewise polynomials over the time interval, with polynomial coefficients as optimization variables. This projects the infinite-dimensional control function space onto a finite-dimensional parameter space, enabling solution by nonlinear programming algorithms.

Application Value

在轨道控制律设计中，该方法通过优化推力方向和大小实现燃料消耗最小化，是深空任务的核心技术。

Related Concepts

• Reference Ellipsoid
• Low-Thrust Propulsion
• Primer vector
• Kinematics

References

• Serban et al., 2002, Acta Astronautica