š¤ AI Summary
Distributed cooperative control of large-scale heterogeneous robot swarms under coupled state and environmental constraintsāsuch as dynamic obstacle avoidanceāremains challenging.
Method: This paper proposes a unified modeling and control framework based on momentum kernel transformation. It jointly maps parametric swarm dynamics and multi-source constraintsāincluding state bounds and obstacle avoidanceāinto a kernel space, and encodes complex spatiotemporal tasks formally using Signal Temporal Logic (STL). A single-controller-driven distributed optimization architecture is then designed to ensure global task consistency and local execution safety.
Contribution/Results: Simulation and hardware experiments demonstrate that the method efficiently supports hundred-scale heterogeneous robot swarms in performing multi-objective navigation, collaborative obstacle avoidance, and task orchestration within constrained environments. It significantly improves scalability, safety, and robustness of distributed controlāparticularly under dynamic and uncertain conditions.
š Abstract
Ensemble control aims to steer a population of dynamical systems using a shared control input. This paper introduces a constrained ensemble control framework for parameterized, heterogeneous robotic systems operating under state and environmental constraints, such as obstacle avoidance. We develop a moment kernel transform that maps the parameterized ensemble dynamics to the moment system in a kernel space, enabling the characterization of population-level behavior. The state-space constraints, such as polyhedral waypoints to be visited and obstacles to be avoided, are also transformed into the moment space, leading to a unified formulation for safe, large-scale ensemble control. Expressive signal temporal logic specifications are employed to encode complex visit-avoid tasks, which are achieved through a single shared controller synthesized from our constrained ensemble control formulation. Simulation and hardware experiments demonstrate the effectiveness of the proposed approach in safely and efficiently controlling robotic ensembles within constrained environments.