Morphing shape metastructures using the hybrid position feedback control and bistable structural elements

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Abstract This research introduces a new multi-degree-of-freedom metastructure concept utilizing a hybrid position feedback controller. An arbitrary number of bistable segments, or structural elements, are connected serially or in parallel to form a distributed bistable structure, or a so-called metastructure. The hybrid controller, an unstable-then-stable second-order single-degree-of-freedom system, leverages the resonant mode of a bistable system to destabilize it and dynamically induce snap-through between equilibria. The metastructure inherits multiple bistable positions, maintaining equilibrium shapes without consuming power and enabling many equilibrium configurations. Two geometric configurations are proposed and analyzed using a modified hybrid feedback control approach, which rejects forces from neighboring degrees of freedom and linearizes the system around a user-specified target equilibrium. Despite the added complexity compared to the previous approach by the authors, the modified controller facilitates robust control. Parametric analyses identify controller parameters for successful shape adaptation. The simplicity of the baseline hybrid controller enables physical implementation with simple circuit elements integrated into the structure.

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