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Census-Based Population Autonomy For Distributed Robotic Teaming

Tyler M. Paine, Anastasia Bizyaeva, Michael R. Benjamin

TL;DR

The paper tackles how to enable scalable, robust multi-robot collaboration by separating collective teaming decisions from individual action optimization. It introduces census-based population autonomy (CBPA), a layered framework where nonlinear opinion dynamics guide group formation and interval programming drives local behavior, with a Hessian-informed second-order method for partially observed costs. The approach is shown to reproduce classic distributed optimization and game-theoretic algorithms as special cases, while enabling new multi-mission capabilities. Experiments across high-value unit protection, capture-the-flag, and adaptive seek-and-sample validate CBPA on autonomous surface vehicles, demonstrating distributed coalition formation, dynamic task allocation, and resilience to partial observability and communication constraints.

Abstract

Collaborating teams of robots show promise due in their ability to complete missions more efficiently and with improved robustness, attributes that are particularly useful for systems operating in marine environments. A key issue is how to model, analyze, and design these multi-robot systems to realize the full benefits of collaboration, a challenging task since the domain of multi-robot autonomy encompasses both collective and individual behaviors. This paper introduces a layered model of multi-robot autonomy that uses the principle of census, or a weighted count of the inputs from neighbors, for collective decision-making about teaming, coupled with multi-objective behavior optimization for individual decision-making about actions. The census component is expressed as a nonlinear opinion dynamics model and the multi-objective behavior optimization is accomplished using interval programming. This model can be reduced to recover foundational algorithms in distributed optimization and control, while the full model enables new types of collective behaviors that are useful in real-world scenarios. To illustrate these points, a new method for distributed optimization of subgroup allocation is introduced where robots use a gradient descent algorithm to minimize portions of the cost functions that are locally known, while being influenced by the opinion states from neighbors to account for the unobserved costs. With this method the group can collectively use the information contained in the Hessian matrix of the total global cost. The utility of this model is experimentally validated in three categorically different experiments with fleets of autonomous surface vehicles: an adaptive sampling scenario, a high value unit protection scenario, and a competitive game of capture the flag.

Census-Based Population Autonomy For Distributed Robotic Teaming

TL;DR

The paper tackles how to enable scalable, robust multi-robot collaboration by separating collective teaming decisions from individual action optimization. It introduces census-based population autonomy (CBPA), a layered framework where nonlinear opinion dynamics guide group formation and interval programming drives local behavior, with a Hessian-informed second-order method for partially observed costs. The approach is shown to reproduce classic distributed optimization and game-theoretic algorithms as special cases, while enabling new multi-mission capabilities. Experiments across high-value unit protection, capture-the-flag, and adaptive seek-and-sample validate CBPA on autonomous surface vehicles, demonstrating distributed coalition formation, dynamic task allocation, and resilience to partial observability and communication constraints.

Abstract

Collaborating teams of robots show promise due in their ability to complete missions more efficiently and with improved robustness, attributes that are particularly useful for systems operating in marine environments. A key issue is how to model, analyze, and design these multi-robot systems to realize the full benefits of collaboration, a challenging task since the domain of multi-robot autonomy encompasses both collective and individual behaviors. This paper introduces a layered model of multi-robot autonomy that uses the principle of census, or a weighted count of the inputs from neighbors, for collective decision-making about teaming, coupled with multi-objective behavior optimization for individual decision-making about actions. The census component is expressed as a nonlinear opinion dynamics model and the multi-objective behavior optimization is accomplished using interval programming. This model can be reduced to recover foundational algorithms in distributed optimization and control, while the full model enables new types of collective behaviors that are useful in real-world scenarios. To illustrate these points, a new method for distributed optimization of subgroup allocation is introduced where robots use a gradient descent algorithm to minimize portions of the cost functions that are locally known, while being influenced by the opinion states from neighbors to account for the unobserved costs. With this method the group can collectively use the information contained in the Hessian matrix of the total global cost. The utility of this model is experimentally validated in three categorically different experiments with fleets of autonomous surface vehicles: an adaptive sampling scenario, a high value unit protection scenario, and a competitive game of capture the flag.

Paper Structure

This paper contains 40 sections, 40 equations, 17 figures, 5 tables.

Figures (17)

  • Figure 1: Overview of states: poses $\bm{x}$, opinions $\bm{z}$, and network graph $\mathcal{G}$.
  • Figure 2: Influence connections in the nonlinear opinion dynamics model (\ref{['eq:op_dynam1']}). Adapted from Bizyaeva2023OD_TAC.
  • Figure 3: Overview of hierarchical census model adapted from paine2024ICRAGCID. Opinion dynamics is used for distributed team assignment (blue). Locally, multi-objective behavior optimization is used to determine the best reference input, and a controller is used to execute the action (yellow).
  • Figure 4: Taxa of decentralized approaches represented by the model in this paper. The CBPA model can be reduced to recover many existing approaches.
  • Figure 5: Overview of high value unit (HVU) protection mission. The moving patrol area is centered on the HVU (in black) with a smaller loiter area closer to the HVU. Protector vehicles (in green) allocate themselves among the options of patrolling, loitering, or intercepting intruder vehicles (in red).
  • ...and 12 more figures

Theorems & Definitions (5)

  • Example 1: Continuous Distributed Gradient Descent with Consensus Shorinwa2024DistOptSurvey
  • Example 2: Potential Games Interpretation
  • Example 3: Discrete Distributed Gradient Descent with Consensus Shorinwa2024DistOptSurvey
  • Example 4: Discrete Distributed Gradient Descent Shorinwa2024DistOptSurvey
  • Example 5: Equal Cost Burden