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Anja Hellander

Publications and source records attributed to Anja Hellander.

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Optimized and kinematically feasible multi-agent motion planning

Multi-agent motion planning (MAMP) is an important problem for autonomous systems with multiple agents. In this work we propose a two-step method for finding optimized and kinematically feasible solutions to MAMP problems. The first step finds an initial feasible solution using state-of-the-art methods such as conflict-based search (CBS) or priority-based search (PBS), and the second step is an improvement step which improves the solution by solving a multi-phase optimal control problem (OCP) where the initial solution is used to warm-start the solver. We also propose a method for generating motion primitives in an optimized way under the constraint that the primitive durations are all multiples of the same sample time. We evaluate our proposed framework on a MAMP problem for tractor-trailer systems. We extend the safe interval path planning with interval projections (SIPP-IP) algorithm so it can handle more general cost functions and larger agents, but our results show that for the tractor-trailer system a simple lattice-based planner performs better due to less conservative collision checks. Our experiments also indicate that CBS performs better than PBS for this system as it achieves a higher success rate in environments with obstacles and had a lower average runtime, although both planners achieve solutions of similar quality after the improvement step.

cs.RO

Multi-Agent Motion Planning for Simultaneous Arrival using Time-Reversed Search and Distributed Optimal Control

In this work we consider the multi-agent motion planning (MAMP) problem with the constraint that agents arrive at their respective goals at the same time. For the special case where all agents are initially at rest we propose a two-step method for finding optimized and kinematically feasible solutions. The first step finds an initial feasible solution by applying a state-of-the-art MAMP algorithm (conflict-based search and safe interval path planning with interval projection) backward. The algorithm is complete, and we provide necessary conditions for when it is also optimal. The second step is an improvement step where a receding-horizon optimal control problem (OCP) is posed and the solution found in the first step is used to warm-start the solver. To improve scalability we propose to solve the OCP in a distributed manner using the nonlinear alternating direction method of multipliers (NADMM). We evaluate the proposed framework in numerical experiments on a car-like vehicle. The results show that the backward planning algorithm successfully finds feasible and collision-free solutions, and that the improvement step further improves the quality of the solutions. Compared to solving the OCPs in a centralized manner, using nonlinear ADMM reduces the computation time.

math.OC