Neural-Swarm2: Planning and Control of Heterogeneous Multirotor Swarms using Learned Interactions
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Abstract (arXiv)
We present Neural-Swarm2, a learning-based method for motion planning and control that allows heterogeneous multirotors in a swarm to safely fly in close proximity. Such operation for drones is challenging due to complex aerodynamic interaction forces, such as downwash generated by nearby drones and ground effect. Conventional planning and control methods neglect capturing these interaction forces, resulting in sparse swarm configuration during flight. Our approach combines a physics-based nominal dynamics model with learned Deep Neural Networks (DNNs) with strong Lipschitz properties. We make use of two techniques to accurately predict the aerodynamic interactions between heterogeneous multirotors: i) spectral normalization for stability and generalization guarantees of unseen data and ii) heterogeneous deep sets for supporting any number of heterogeneous neighbors in a permutation-invariant manner without reducing expressiveness. The learned residual dynamics benefit both the proposed interaction-aware multi-robot motion planning and the nonlinear tracking control design because the learned interaction forces reduce the modelling errors. Experimental results demonstrate that Neural-Swarm2 is able to generalize to larger swarms beyond training cases and significantly outperforms a baseline nonlinear tracking controller with up to three times reduction in worst-case tracking errors.
Key facts. Cited by 19 papers in the map (data through 7 Oct 2026). First posted on arXiv 10 Dec 2020.
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Citing papers per year: 2021: 4; 2022: 2; 2023: 5; 2024: 4; 2025: 2; 2026: 2.
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- 2025ASAP: Aligning Simulation and Real-World Physics for Learning Agile Humanoid Whole-Body Skillscited by 104
- 2022Neural-Fly Enables Rapid Learning for Agile Flight in Strong Windscited by 80
- 2021Contraction Theory for Nonlinear Stability Analysis and Learning-based Control: A Tutorial Overviewcited by 42
- 2024Model-Based Diffusion for Trajectory Optimizationcited by 30
- 2021Meta-Adaptive Nonlinear Control: Theory and Algorithmscited by 23
- 2023Optimal Exploration for Model-Based RL in Nonlinear Systemscited by 17
- 2023DATT: Deep Adaptive Trajectory Tracking for Quadrotor Controlcited by 11
- 2021Online Optimization with Feedback Delay and Nonlinear Switching Costcited by 5
- 2022Neural Moving Horizon Estimation for Robust Flight Controlcited by 5
- 2023SO(2)-Equivariant Downwash Models for Close Proximity Flightcited by 5
- 2021Trajectory Optimization of Chance-Constrained Nonlinear Stochastic Systems for Motion Planning Under Uncertaintycited by 4
- 2024CoVO-MPC: Theoretical Analysis of Sampling-based MPC and Optimal Covariance Designcited by 3
7 more
- 2024Tiny-PULP-Dronets: Squeezing Neural Networks for Faster and Lighter Inference on Multi-Tasking Autonomous Nano-Dronescited by 2
- 2024Flying Quadrotors in Tight Formations using Learning-based Model Predictive Controlcited by 2
- 2023Automatic Optimisation of Normalised Neural Networkscited by 1
- 2025Online Adaptation for Flying Quadrotors in Tight Formationscited by 1
- 2023Learning to Initialize Trajectory Optimization for Vision-Based Autonomous Flight in Unknown Environmentscited by 0
- 2026Adaptive Linear Path Model-Based Diffusioncited by 0
- 2026Wake Up to the Past: Using Memory to Model Fluid Wake Effects on Robotscited by 0
- 2026Wake Up to the Past: Using Memory to Model Fluid Wake Effects on Robots23 Mar 2026
- 2026Adaptive Linear Path Model-Based Diffusion2 Feb 2026
- 2025Online Adaptation for Flying Quadrotors in Tight Formations20 Jun 2025
- 2025ASAP: Aligning Simulation and Real-World Physics for Learning Agile Humanoid Whole-Body Skills3 Feb 2025
- 2024Flying Quadrotors in Tight Formations using Learning-based Model Predictive Control13 Oct 2024
- 2024Tiny-PULP-Dronets: Squeezing Neural Networks for Faster and Lighter Inference on Multi-Tasking Autonomous Nano-Drones2 Jul 2024
- 2024Model-Based Diffusion for Trajectory Optimization28 May 2024
- 2024CoVO-MPC: Theoretical Analysis of Sampling-based MPC and Optimal Covariance Design14 Jan 2024
- 2023Automatic Optimisation of Normalised Neural Networks17 Dec 2023
- 2023DATT: Deep Adaptive Trajectory Tracking for Quadrotor Control13 Oct 2023
- 2023Learning to Initialize Trajectory Optimization for Vision-Based Autonomous Flight in Unknown Environments19 Sep 2023
- 2023Optimal Exploration for Model-Based RL in Nonlinear Systems15 Jun 2023
7 more
- 2023SO(2)-Equivariant Downwash Models for Close Proximity Flight30 May 2023
- 2022Neural Moving Horizon Estimation for Robust Flight Control21 Jun 2022
- 2022Neural-Fly Enables Rapid Learning for Agile Flight in Strong Winds13 May 2022
- 2021Online Optimization with Feedback Delay and Nonlinear Switching Cost29 Oct 2021
- 2021Contraction Theory for Nonlinear Stability Analysis and Learning-based Control: A Tutorial Overview1 Oct 2021
- 2021Meta-Adaptive Nonlinear Control: Theory and Algorithms11 Jun 2021
- 2021Trajectory Optimization of Chance-Constrained Nonlinear Stochastic Systems for Motion Planning Under Uncertainty5 Jun 2021
- 2024Model-Based Diffusion for Trajectory Optimizationcited by 30
- 2026Adaptive Linear Path Model-Based Diffusioncited by 0
- 2026Adaptive Linear Path Model-Based Diffusion2 Feb 2026
- 2024Model-Based Diffusion for Trajectory Optimization28 May 2024
- 2025ASAP: Aligning Simulation and Real-World Physics for Learning Agile Humanoid Whole-Body Skillscited by 104
- 2022Neural-Fly Enables Rapid Learning for Agile Flight in Strong Windscited by 80
- 2021Contraction Theory for Nonlinear Stability Analysis and Learning-based Control: A Tutorial Overviewcited by 42
- 2021Meta-Adaptive Nonlinear Control: Theory and Algorithmscited by 23
- 2023Optimal Exploration for Model-Based RL in Nonlinear Systemscited by 17
- 2023DATT: Deep Adaptive Trajectory Tracking for Quadrotor Controlcited by 11
- 2021Online Optimization with Feedback Delay and Nonlinear Switching Costcited by 5
- 2022Neural Moving Horizon Estimation for Robust Flight Controlcited by 5
- 2023SO(2)-Equivariant Downwash Models for Close Proximity Flightcited by 5
- 2021Trajectory Optimization of Chance-Constrained Nonlinear Stochastic Systems for Motion Planning Under Uncertaintycited by 4
- 2024CoVO-MPC: Theoretical Analysis of Sampling-based MPC and Optimal Covariance Designcited by 3
- 2024Tiny-PULP-Dronets: Squeezing Neural Networks for Faster and Lighter Inference on Multi-Tasking Autonomous Nano-Dronescited by 2
12 most cited of 17 All 17 (JSON)
- 2026Wake Up to the Past: Using Memory to Model Fluid Wake Effects on Robots23 Mar 2026
- 2025Online Adaptation for Flying Quadrotors in Tight Formations20 Jun 2025
- 2025ASAP: Aligning Simulation and Real-World Physics for Learning Agile Humanoid Whole-Body Skills3 Feb 2025
- 2024Flying Quadrotors in Tight Formations using Learning-based Model Predictive Control13 Oct 2024
- 2024Tiny-PULP-Dronets: Squeezing Neural Networks for Faster and Lighter Inference on Multi-Tasking Autonomous Nano-Drones2 Jul 2024
- 2024CoVO-MPC: Theoretical Analysis of Sampling-based MPC and Optimal Covariance Design14 Jan 2024
- 2023Automatic Optimisation of Normalised Neural Networks17 Dec 2023
- 2023DATT: Deep Adaptive Trajectory Tracking for Quadrotor Control13 Oct 2023
- 2023Learning to Initialize Trajectory Optimization for Vision-Based Autonomous Flight in Unknown Environments19 Sep 2023
- 2023Optimal Exploration for Model-Based RL in Nonlinear Systems15 Jun 2023
- 2023SO(2)-Equivariant Downwash Models for Close Proximity Flight30 May 2023
- 2022Neural Moving Horizon Estimation for Robust Flight Control21 Jun 2022
12 newest of 17 All 17 (JSON)