Complex balancing motions of an inverted pendulum subject to delayed feedback control

DOI10.1016/J.PHYSD.2004.07.007zbMath1070.34105OpenAlexW2001630749WikidataQ57940416 ScholiaQ57940416MaRDI QIDQ1888066

Bernd Krauskopf, Jan Sieber

Publication date: 22 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://research-information.bristol.ac.uk/en/publications/complex-balancing-motions-of-an-inverted-pendulum-subject-to-delayed-feedback-control(ebe265bc-9e95-4902-bf23-b8f1422f5e99).html

zbMATH Keywords

delay differential equationfeedback controlinverted pendulumhomoclinic tangencybalancing motiontriple-zero singularity

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Control problems for functional-differential equations (34K35) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)

Related Items (13)

Extending the permissible control loop latency for the controlled inverted pendulum ⋮ The influence of parametric and external noise in act-and-wait control with delayed feedback ⋮ Portfolio theory of optimal isometric force production: variability predictions and nonequilibrium fluctuation-dissipation theorem ⋮ Stability and Hopf bifurcation in an inverted pendulum with delayed feedback control ⋮ Dynamics of simple balancing models with time-delayed switching feedback control ⋮ Kramers-Moyal expansion for stochastic differential equations with single and multiple delays: applications to financial physics and neurophysics ⋮ On state-dependent delay intuitionistic fuzzy partial functional differential equations with integral boundary conditions ⋮ Time-dependent solutions for stochastic systems with delays: perturbation theory and applications to financial physics ⋮ Stochastic systems with delay: perturbation theory for second order statistics ⋮ DIGITAL CONTROL AS SOURCE OF CHAOTIC BEHAVIOR ⋮ Global bifurcation analysis of a controlled underactuated mechanical system ⋮ Stick balancing with reflex delay in case of parametric forcing ⋮ Bifurcation analysis of systems with delays: methods and their use in applications

Uses Software

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• DSTool

Cites Work

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• Computing One-Dimensional Stable Manifolds and Stable Sets of Planar Maps without the Inverse
• Extending the permissible control loop latency for the controlled inverted pendulum
• Dynamics of an Inverted Pendulum with Delayed Feedback Control

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