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ABSTRACT
We investigate and model the dynamics of two-dimensional stochastic self-assembly of intelligent micro-systems with minimal requirements in terms of sensing, actuation, and control. A microscopic agent-based model accounts for spatiality and serves as a baseline for assessing the accuracy of models at higher abstraction level. Spatiality is relaxed in Monte Carlo simulations, which still capture the binding energy of each individual aggregate. Finally, we introduce a macroscopic model that only keeps track of the average number of aggregates in each energy state. This model is able to quantitatively and qualitatively predict the dynamics observed at lower, more detailed modeling levels. Since we investigate an idealized system, thus making very few assumptions about the exact nature of the final target system, our framework is potentially applicable to a large body of self-assembling agents ranging from functional micro-robots endowed with simple sensors and actuators to elementary microfabricated parts. In particular, we show how our suite of models at different abstraction levels can be used for optimizing both the design of the building blocks and the control of the stochastic process.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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2
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C. M. Cianci, J. Pugh, and A. Martinoli. Exploration of an incremental suite of microscopic models for acoustic event monitoring using a robotic sensor network. In Proc. of the 2008 IEEE Int. Conf on Robotics and Automation, pages 3290--3295, 2008.
|
| |
3
|
T. Clark, J. Tien, D. Duffy, K. Paul, and G. Whitesides. Self-assembly of 10-m-sized objects into ordered three-dimensional arrays. J. of the American Chemical Society, 123:7677--7682, 2001.
|
| |
4
|
N. Correll and A. Martinoli. Modeling self-organized aggregation in a swarm of miniature robots. In IEEE 2007 Int. Conf. on Robotics and Automation, Workshop on Collective Behaviors inspired by Biological and Biochemical Systems, 2007.
|
| |
5
|
C. Evans, G. Mermoud, and A. Martinoli. Scalable distributed control strategies for self-assembling robots. Technical Report DISAL-SP30, École Polytechnique Fédérale de Lausanne, January 2009. Available upon request.
|
| |
6
|
Simon Garnier , Christian Jost , Jacques Gautrais , Masoud Asadpour , Gilles Caprari , Raphaël Jeanson , Anne Grimal , Guy Theraulaz, The embodiment of cockroach aggregation behavior in a group of micro-robots, Artificial Life, v.14 n.4, p.387-408, Fall 2008
[doi> 10.1162/artl.2008.14.4.14400]
|
| |
7
|
D. Gillespie. Stochastic simulation of chemical kinetics. Annual Review of Physical Chemistry, 58:35--55, 2007.
|
| |
8
|
C. M. Grinstead and J. L. Snell. Introduction to Probability. American Mathematical Society, 1997.
|
| |
9
|
R. Gross, M. Bonani, F. Mondada, and M. Dorigo. Autonomous self-assembly in swarm-bots. IEEE Trans. on Robotics, 22(6):1115--1130, 2006.
|
| |
10
|
A. Jadbabaie, J. Lin, and A. Morse. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans. on Automatic Control, 48(6):988--1001, 2003.
|
| |
11
|
E. Klavins. Programmable self-assembly. IEEE Control Systems Mag., 27:43--56, 2007.
|
| |
12
|
A. Martinoli, K. Easton, and W. Agassounon. Modeling swarm robotic systems: A case study in collaborative distributed manipulation. Int. J. of Robotics Research, 23(4--5):415--436, 2004.
|
| |
13
|
H. Onoe, K. Matsumoto, and I. Shimoyama. Three-dimensional sequential self-assembly of microscale objects. Small, 3:1383--1389, 2007.
|
| |
14
|
J. Parrish and W. Hamner. Animal Groups in Three Dimensions: How Species Aggregate. Cambridge University Cambridge University Press, 1997.
|
| |
15
|
|
| |
16
|
|
| |
17
|
H. Tanner, A. Jadbabaie, and G. Pappas. Flocking in teams of nonholonomic agents. Lecture Notes in Control and Information Sciences, 309:229--239, 2005.
|
| |
18
|
G. Whitesides and B. Grzybowski. Self-assembly at all scales. Science, 295(5564):2418--2421, 2002.
|
| |
19
|
A. Zangwill. Statistical physics: Advances in aggregation. Nature, 411(6838):651--2, 2001.
|
| |
20
|
W. Zheng and H. O. Jacobs. Fabrication of multicomponent microsystems by directed three-dimensional self-assembly. Advanced Functional Materials, 15:732--738, 2005.
|
|