Abstract

A wealth of current research in microengineering aims at fabricating devices of increasing complexity, notably by (self-)assembling elementary components into heterogeneous functional systems. At the same time, a large body of robotic research called swarm robotics is concerned with the design and the control of large ensembles of robots of decreasing size and complexity. This paper describes the asymptotic convergence of micro/nano electromechanical systems (M/NEMS) on one side, and swarm robotic systems on the other, toward a unifying class of systems, which we denote Smart Minimal Particles (SMPs). We define SMPs as mobile, purely reactive and physically embodied agents that compensate for their limited on-board capabilities using specifically engineered reactivity to external physical stimuli, including local energy and information scavenging. In trading off internal resources for simplicity and robustness, SMPs are still able to collectively perform non-trivial, spatio-temporally coordinated and highly scalable operations such as aggregation and self-assembly (SA). We outline the opposite converging tendencies, namely M/NEMS smarting and robotic minimalism, by reviewing each field’s literature with specific focus on self-assembling systems. Our main claim is that the SMPs can be used to develop a unifying technological and methodological framework that bridges the gap between passive M/NEMS and active, centimeter-sized robots. By proposing this unifying perspective, we hypothesize a continuum in both complexity and length scale between these two extremes. We illustrate the benefits of possible cross-fertilizations among these originally separate domains, with specific emphasis on the modeling of collective dynamics. Particularly, we argue that while most of the theoretical studies on M/NEMS SA dynamics belong so far to one of only two main frameworks—based on analytical master equations and on numerical agent-based simulations, respectively—alternative models developed in swarm robotics could be amenable to the task, and thereby provide important novel insights.

Highlights

  • Introducing Smart Minimal ParticlesDistributed Systems (DSs) are ensembles of elements (hereby referred to as particles for the sake of generality) spatially scattered within bounded domains, and whose collective properties depend on those of the elements and of their interactions, both with each other and with the environment

  • A wealth of current research in microengineering aims at fabricating devices of increasing complexity, notably byassembling elementary components into heterogeneous functional systems

  • The latter two fields are of particular interest in our view, because they represent the extremes of the complexity and size continuum of artificial distributed systems and, at the same time, they manifest a convergence towards a shared, conceptual and technological midpoint, embodied by what we hereby denote Smart Minimal Particles (SMPs) (Figure 1)

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Summary

Introducing Smart Minimal Particles

Distributed Systems (DSs) are ensembles of elements (hereby referred to as particles for the sake of generality) spatially scattered within bounded domains, and whose collective properties depend on those of the elements and of their interactions, both with each other and with the environment. A very active research topic in robotics concerns the design and control of massively-distributed robotic systems involving simpler and smaller robots Such swarm robotic systems generally exploit self-organization, redundancy and environmental surrogates to compensate for the technological limitations of the individual robots (e.g., fluid flows for mass transport [5], stigmergy [6,7], templating [8]). Specific geometric design and surface derivatization are required to enable the accurate and efficient self-assembly of M/NEMS devices into desired, articulated structures Such dedicated physico-chemical tailoring encodes local information and selective interactions to direct the cooperative aggregation.

Self-Assembly across Scales
Self-Assembly of Small Modular Robots
Modeling Static Self-Assembly
Modeling the SA Dynamics of Passive Particles
Master Equation-Based Models
Hosokawa’s State Variable Model
Zheng and Jacobs’ Time-Continuous Model
Critiques to the Models
Agent-Based Models
Mermoud’s Two-Dimensional Model
Mastrangeli’s Three-Dimensional Model
Stochastic Reaction Models
Brownian Agents and Stochastic Micro-Agents
Critiques to the Model
Toward a Comprehensive Modeling Framework for SMPs
Submicroscopic Models
Microscopic Models
A Non-Spatial Monte Carlo
Macroscopic Modeels olution of thhe
A Macroscopic Model of Pair-wise SA
Validation of and Critiques to the Models
Findings
Conclusions and Perspectives
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