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Pseudospectral Multiple-Shooting Convex Optimization

Combination of Pseudospectral Collocation within a Multiple-Shooting Sequential Convex Optimization framework to rapidly and reliably solve challenging Optimal Control Problems.

Status
Active
Timeline
2026-2027

Objective

Develop and analyse a combined technique implementing Pseudospectral Collocation and Multiple-Shooting Sequential Convex Programming to solve challenging Optimal Control Problems. The study is carried forward in collaboration with UC Berkeley’s Autonomous Controls Lab.

Trajopt solution example
Reproduced from S. McEowen et al., Journal of Guidance, Control, and Dynamics, 2025, https://doi.org/10.2514/1.G008692.

Approach

The objective is achieved by integrating ARGOS lab’s expertise in Pseudospectral Optimal Control with the existing ACL’s trajopt package, implementing the AutoSCVx algorithm for Multiple-Shooting Sequential Convex Programming. The developed approach is applied to challenging problems in quadrotor guidance and low-thrust trajectory optimization.

AutoSCVx algorithm diagram Multiple shooting concept
Reproduced from S. McEowen et al., Journal of Guidance, Control, and Dynamics, 2025, https://doi.org/10.2514/1.G008692.

Why It Matters

Solving problems using Multiple-Shooting techniques, even when combined with the robust numerical properties of convex optimization, can be challenging in dynamically unstable systems and in scenarios where adequate initial guesses cannot be generated. Pseudospectral Collocation provides inherently smooth trajectories and allows for post-solution optimality assessments, enhancing the overall capability of the tool.

ARGOS Lab aims at conceiving, developing and validating advanced G&C algorithms and methodologies for space systems. The lab has been founded at the Department of Industrial Engineering of the University of Bologna and funded by the European Research Council through the ERC-CoG 2024 grant "STARGATE".

Coordinates

Alma Mater Studiorum - Università di Bologna

Via Luciano Montaspro 97

Forlì Campus, Italy

44.200889° N, 12.064129° E

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