Stabilizing a rotary inverted pendulum based on logarithmic Lyapunov function

DOI10.1155/2017/4091302zbMath1400.93251OpenAlexW2593631153WikidataQ59145598 ScholiaQ59145598MaRDI QIDQ1794171

Xiaonong Lu, Jie Wen, Yuanhao Shi

Publication date: 15 October 2018

Published in: Journal of Control Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/4091302

zbMATH Keywords

Lyapunov stabilityrotary inverted pendulum

Mathematics Subject Classification ID

Feedback control (93B52) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control of mechanical systems (70Q05)

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Robust hierarchical sliding mode control with state-dependent switching gain for stabilization of rotary inverted pendulum ⋮ Robust stabilisation of rotary inverted pendulum using intelligently optimised nonlinear self-adaptive dual fractional-order PD controllers

Cites Work

• Controller design for rotary inverted pendulum system using evolutionary algorithms
• Finite-time tracking control of chained-form nonholonomic systems with external disturbances based on recursive terminal sliding mode method
• A family of smooth controllers for swinging up a pendulum
• A Riccati equation approach to the stabilization of uncertain linear systems
• A stabilization algorithm for a class of uncertain linear systems
• Indirect adaptive fuzzy control for a nonholonomic/underactuated wheeled inverted pendulum vehicle based on a data-driven trajectory planner
• Adaptive control of rotary inverted pendulum system with time-varying uncertainties
• A computational method for determining quadratic Lyapunov functions for non-linear systems
• Stabilization of the Furuta pendulum around its homoclinic orbit
• Generating Self-Excited Oscillations via Two-Relay Controller
• Stabilization of a class of underactuated mechanical systems via interconnection and damping assignment
• The direct Lyapunov method for the stabilisation of the Furuta pendulum

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