Analysis of a nonlinear magnetic levitation system vibrations controlled by a time-delayed proportional-derivative controller

DOI10.1007/s11071-014-1738-xzbMath1345.93076OpenAlexW2071938361WikidataQ59417427 ScholiaQ59417427MaRDI QIDQ493950

Yong-Cai Geng, Sumit K. Garg

Publication date: 7 September 2015

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-014-1738-x

zbMATH Keywords

time delayactive controlsecond-order approximationcontroller effectivenessmultiple scales perturbation technique

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems governed by functional-differential equations (93C23) Stability for nonlinear problems in mechanics (70K20) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Control of mechanical systems (70Q05) Technical applications of optics and electromagnetic theory (78A55) Multiple scale methods for ordinary differential equations (34E13)

Related Items (4)

Stability and bifurcation analysis of a buckled beam via active control ⋮ Utilizing time-delays to quench the nonlinear vibrations of a two-degree-of-freedom system ⋮ Time-delayed control to suppress the nonlinear vibrations of a horizontally suspended Jeffcott-rotor system ⋮ Robust adaptive output feedback control scheme for chaos synchronization with input nonlinearity

Cites Work

• Using the delayed feedback control and saturation control to suppress the vibration of the dynamical system
• Active control of an aircraft tail subject to harmonic excitation
• Delayed saturation controller for vibration suppression in a stainless-steel beam
• Amplitude reduction of primary resonance of nonlinear oscillator by a dynamic vibration absorber using nonlinear coupling
• Active vibration control of a dynamical system via negative linear velocity feedback
• A comparison between active and passive vibration control of nonlinear simple pendulum. I: Transversally tuned absorber and negative \(G\dot\varphi^n\) feedback
• A comparison between active and passive vibration control of nonlinear simple pendulum. II: Longitudinal tuned absorber and negative \(G\ddot\varphi\) and \(G\varphi^n\) feedback

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