Stability analysis of two-degree-of-freedom control via constructing a linear continuous-time periodic system: Application to rotary inverted pendulum

Yue Li, Xin Xin, School of Automation, Southeast University, Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, Southeast University, Institute of Intelligent Unmanned Systems, Southeast University

Journal of Vibration and Control

Published online on March 29, 2025

Abstract

Journal of Vibration and Control, Volume 32, Issue 9-10, Page 2267-2277, May 2026.
In this paper, we introduce a stability analysis approach for systems with two-degree-of-freedom control by converting the linear continuous time-varying system into a periodic one and applying the stability criterion of linear continuous-time periodic (...