36 citations · 53 across the 3 of their papers we have counts for
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math.OC2022★ 13 cited
Optimal Control for Kinematic Bicycle Model with Continuous-time Safety Guarantees: A Sequential Second-order Cone Programming Approach
Victor Freire, Xiangru Xu
The optimal control problem for the kinematic bicycle model is considered where the trajectories are required to satisfy the safety constraints in the continuous-time sense. Based…
math.OC2021★ 36 cited
Flatness-based Quadcopter Trajectory Planning and Tracking with Continuous-time Safety Guarantees
Victor Freire, Xiangru Xu
This work presents a convex optimization framework for the planning and tracking of quadcopter trajectories with continuous-time safety guarantees. Using B-spline basis functions a…