Pattern-forming systems for control of large arrays of actuators
Pattern-forming systems for control of large arrays of actuators
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DOI：
10.1007/s00332-001-0392-x
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发表时间：
2001-11
影响因子：
3
通讯作者：
E. Justh;P. Krishnaprasad
中科院分区：
文献类型：
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作者：
E. Justh;P. Krishnaprasad
我们考虑一种用于通过扩散（即，最近邻）耦合与反应性生长和衰减相结合，通过人工设计到系统中的互连模板（例如，在并置的微电子电路中，或通过活性材料层的配方）来实现。这样的耦合系统可以支持有趣的时空模式，这反过来又决定了致动模式。产生这样的时空模式通常涉及通过提高或降低一个参数，从而导致稳定阈值的交叉来强调互连。通过在较慢的时间尺度上进行反馈进行这种参数调整的可能性为在大型阵列内有效通信的问题提供了解决方案：通过互连模板实现通信。这个想法背后的数学将我们带入了具有时空模式解的非线性偏微分方程（PDE）的丰富领域。我们提出了一个全球性的非线性稳定性分析，适用于某些模式模式形成系统。非线性稳定性分析可以作为一个起点，包含大型微致动器阵列的系统的控制系统设计。
We consider an approach for coordinating the activity of a large array of microactuators via diffusive (i.e., nearest-neighbor) coupling combined with reactive growth and decay, implemented viainterconnection templateswhich have been artificially engineered into the system (for example, in collocated microelectronic circuitry, or through the formulation of active material layers). Such coupled systems can support interesting spatiotemporal patterns, which in turn determine the actuation patterns. Generating such spatiotemporal patterns typically involvesstressingthe interconnections by raising or lowering a parameter resulting in the crossing of stability thresholds. The possibility of making such parametric adjustments via feedback on a slower timescale offers a solution to the problem of communicating effectively within a large array: The communication is achieved through the interconnection template. The mathematics behind this idea leads us into the rich domain of nonlinear partial differential equations (PDEs) with spatiotemporal pattern solutions. We present a global nonlinear stability analysis that applies to certain model pattern-forming systems. The nonlinear stability analysis could serve as a starting point for control system design for systems containing large microactuator arrays.