On the stability of the soft pendulum with affine curvature
open-loop, collocated closed-loop, and switching control
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)
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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.