Fractional Order PD Control of Friction-Induced Vibrations in a Continuous System
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Publication:5037268
DOI10.5890/JAND.2021.09.005zbMath1485.93188OpenAlexW3161586248MaRDI QIDQ5037268
Publication date: 28 February 2022
Published in: Journal of Applied Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5890/jand.2021.09.005
Hopf bifurcationfriction-induced vibrations\(\mathrm{PD}^\lambda\) (fractional-order PD) controlbeam-mass modelpiezo-patch actuator
Feedback control (93B52) Fractional derivatives and integrals (26A33) Problems involving a system of particles with friction (70F40)
Cites Work
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- Mode coupling instability in friction-induced vibrations and its dependency on system parameters including damping
- Numerical solution of fractional differential equations: a survey and a software tutorial
- A minimal model for studying properties of the mode-coupling type instability in friction induced oscillations
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- Fractional and multivariable calculus. Model building and optimization problems
- Challenge on solutions of fractional Van Der Pol oscillator by using the differential transform method
- Piezoelectric transducers for vibration control and damping.
- A sliding mode vibration controller for lead screw drives
- Functional Fractional Calculus
- Effects of damping on mode-coupling instability in friction induced oscillations
- Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
- A new model for control of systems with friction
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