Extending the permissible control loop latency for the controlled inverted pendulum

DOI10.1080/14689360512331335700zbMath1079.34060OpenAlexW2089800248MaRDI QIDQ5317712

Jan Sieber, Bernd Krauskopf

Publication date: 21 September 2005

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360512331335700

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Control problems for functional-differential equations (34K35)

Related Items (14)

Complex balancing motions of an inverted pendulum subject to delayed feedback control ⋮ Inverted pendulum stabilization: characterization of codimension-three triple zero bifurcation via multiple delayed proportional gains ⋮ Multiplicity-induced optimal gains of an inverted pendulum system under a delayed proportional-derivative-acceleration feedback ⋮ Bi‐homogeneous observers for uncertain 1‐DOF mechanical systems ⋮ A Review on Multiple Purely Imaginary Spectral Values of Time-Delay Systems ⋮ Stability and Hopf bifurcation in an inverted pendulum with delayed feedback control ⋮ On the robust stabilizability of unstable systems with feedback delay by finite spectrum assignment ⋮ Multiplicity-induced-dominancy in parametric second-order delay differential equations: Analysis and application in control design ⋮ Dynamics of simple balancing models with time-delayed switching feedback control ⋮ Characterizing the codimension of zero singularities for time-delay systems. A link with Vandermonde and Birkhoff incidence matrices ⋮ Sensory uncertainty and stick balancing at the fingertip ⋮ PARAMETRIC AND EXTERNAL RESONANCES IN KINEMATICALLY AND EXTERNALLY EXCITED NONLINEAR SPRING PENDULUM ⋮ Bifurcation analysis of systems with delays: methods and their use in applications ⋮ Dynamics of human balancing

Cites Work

• Unnamed Item
• Unnamed Item
• Robust stabilization of uncertain input-delay systems by sliding mode control with delay compensation
• Balancing the inverted pendulum using position feedback
• Complex balancing motions of an inverted pendulum subject to delayed feedback control
• Bifurcation analysis of an inverted pendulum with delayed feedback control near a triple-zero eigenvalue singularity
• Efficiency, speed, and scaling of two-dimensional passive-dynamic walking
• Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback
• SOME RESULTS ON CHUA'S EQUATION NEAR A TRIPLE-ZERO LINEAR DEGENERACY
• Dynamics of an Inverted Pendulum with Delayed Feedback Control

This page was built for publication: Extending the permissible control loop latency for the controlled inverted pendulum