Analytic Solution of Coupled Rolling Behaviors for Robotic Blimps

Sungjin Cho ()
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Sungjin Cho: Department of Electronic Engineering, Sunchon National University, Suncheon 57922, Republic of Korea

Mathematics, 2025, vol. 13, issue 18, 1-11

Abstract: Robotic blimps have been recently employed for the purpose of education and research. Both modeling and simulation for robotic blimp motions are significantly important due to uncontrollable movements. This paper presents the coupled rolling behaviors of robotic blimps. When horizontal and vertical motions are combined for vehicle maneuvering, rolling motion can be substantially increased. We propose an analytic solution of a simplified model that represents coupled rolling motion in order to analyze such instability. Furthermore, we prove that rolling motions under unknown disturbances are ultimately bounded from Lyapunov analysis. The proposed scheme is verified by simulation study.

Keywords: analytic solution; nonautonomous nonlinear systems; robotic blimps (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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