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arXiv · 2605.01395

Quasi-Static Control of Discrete Cosserat Rod

Srishti Siddharth·Domenico Campolo·Ravi Banavar
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Abstract

In this paper, we design feedback control laws for soft robots modelled using the Cosserat rod theory, which is spatially discretised using the Piecewise Constant Strain (PCS) approach. The PCS approach approximates the nonlinear PDEs describing the Cosserat rod by a finite-dimensional system of nonlinear ODEs. This simplification results in a model describing soft robots which is similar to the serial rigid-link manipulators. We design feedback control laws for the quasi-static PCS model by using external wrenches as control inputs. The control laws are designed based on feedback linearisation in strain and task spaces. An extensive set of numerical results demonstrates the performance of the control laws for end-effector trajectory tracking and shape control of soft robots.

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Srishti Siddharth, Domenico Campolo, Ravi Banavar. 2026-05-02. Quasi-Static Control of Discrete Cosserat Rod. https://arxiv.org/abs/2605.01395

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