Fractional describing function of systems with Coulomb friction

DOI10.1007/s11071-008-9405-8zbMath1204.70026OpenAlexW2015358988MaRDI QIDQ623830

José António Tenreiro Machado, Fernando B. M. Duarte

Publication date: 8 February 2011

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

Full work available at URL: http://hdl.handle.net/10400.22/4578

zbMATH Keywords

controlmodelingfrictiondescribing function

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control of mechanical systems (70Q05) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (6)

A complementarity approach for the computation of periodic oscillations in piecewise linear systems ⋮ Quasi-linear analytical approach to stick-slip friction in the frequency domain ⋮ Analysis of a fractional order Van der Pol-like oscillator via describing function method ⋮ Limit cycle prediction of systems with fractional controllers and backlash ⋮ Vibrational self-alignment of a rigid object exploiting friction ⋮ Identification and adaptive robust precision motion control of systems with nonlinear friction

Cites Work

• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A survey of models, analysis tools and compensation methods for the control of machines with friction
• Describing function analysis of systems with impacts and blacklash
• PID control in the presence of static friction: A comparison of algebraic and describing function analysis
• Heuristic Methods for Solving Large Scale Network Routing Problems: The Telpaking Problem
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