One Ring to Rule Them All: Constrained Distributional Control for Massive-Scale Heterogeneous Robotic Ensemble Systems

šŸ“… 2025-12-04
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Distributed cooperative control of large-scale heterogeneous robot swarms under coupled state and environmental constraints—such as dynamic obstacle avoidance—remains 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 constraints—including state bounds and obstacle avoidance—into 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 control—particularly under dynamic and uncertain conditions.

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šŸ“ 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.
Problem

Research questions and friction points this paper is trying to address.

Control massive-scale heterogeneous robotic ensembles with a single shared input
Handle state and environmental constraints like obstacle avoidance in ensemble systems
Encode complex visit-avoid tasks using signal temporal logic specifications
Innovation

Methods, ideas, or system contributions that make the work stand out.

Constrained ensemble control for heterogeneous robotic systems
Moment kernel transform maps dynamics to moment space
Single shared controller achieves complex visit-avoid tasks
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A
Andres Arias
Department of Mechanical Engineering, Villanova University, Villanova, PA, 19085
W
Wei Zhang
Department of Electrical and Systems Engineering, Washington University in St. Louis, St. Louis, MO 63130
H
Haoyu Qian
Department of Electrical and Systems Engineering, Washington University in St. Louis, St. Louis, MO 63130
Jr-Shin Li
Jr-Shin Li
Department of Electrical and Systems Engineering, Washington University in St. Louis, St. Louis, MO 63130
Chuangchuang Sun
Chuangchuang Sun
Assistant Professor, Villanova University
optimization algorithmautonomous systemreinforcement learningroboticsmulti-agent systems