Energy Minimization
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
An optimal control problem that minimizes the L2-norm of the control (squared control energy). Compared to the minimum-fuel problem (L1-norm), the energy minimization problem has a strictly concave and smooth Hamiltonian, yielding a continuous control law that is much easier to solve numerically. It typically serves as the starting point for homotopy continuation toward the minimum-fuel problem.
Application Value
An optimal control problem that minimizes the L2-norm of the control (squared control energy). Compared to the minimum-fuel problem (L1-norm), the energy minimization problem has a strictly concave and smooth Hamiltonian, yielding a continuous control law that is much easier to solve numerically. It typically serves as the starting point for homotopy continuation toward the minimum-fuel problem.
Related Concepts
- Time-Varying System
- Lipschitz Condition
- Variable-Time Targeting
- Return Corridor
References
- Caillau et al. 2012 - Minimum fuel control of the planar circular restricted three-body problem