On the stability of the soft pendulum with affine curvature

open-loop, collocated closed-loop, and switching control

Journal Article (2023)
Author(s)

Maja Trumic (University of Belgrade)

C. Lieu (Deutsches Zentrum für Luft- und Raumfahrt (DLR), TU Delft - Learning & Autonomous Control)

Kosta Jovanovic (University of Belgrade)

Adriano Fagiolini (Università degli Studi di Palermo)

Research Group
Learning & Autonomous Control
Copyright
© 2023 Maja Trumic, C. Della Santina, Kosta Jovanovic, Adriano Fagiolini
DOI related publication
https://doi.org/10.1109/LCSYS.2022.3187612
More Info
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Publication Year
2023
Language
English
Copyright
© 2023 Maja Trumic, C. Della Santina, Kosta Jovanovic, Adriano Fagiolini
Research Group
Learning & Autonomous Control
Volume number
7
Pages (from-to)
385-390
Reuse Rights

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Abstract

This letter investigates the stability properties of the soft inverted pendulum with affine curvature - a template model for nonlinear control of underactuated soft robots. We look at how changes in physical parameters affect stability and equilibrium. We give conditions under which zero dynamics corresponding to a collocated choice of the output is (locally or globally) stable or unstable. We leverage these results to design a switching controller that stabilizes a class of nonlinear equilibria of the pendulum, which can drive the system from one equilibrium to another.