Analysis and shaping of the self-sustained oscillations in relay controlled fractional-order systems

DOI10.2478/s13540-013-0007-xzbMath1312.93072OpenAlexW2144260588MaRDI QIDQ2347294

Elio Usai, Guido Maione, Alessandro Pisano, Riccardo Caponetto, Milan R. Rapaić

Publication date: 27 May 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s13540-013-0007-x

zbMATH Keywords

periodic solutionsfractional-order systemsdescribing functionlocus of a perturbed relay systemrelay feedback control systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Frequency-response methods in control theory (93C80) Discontinuous ordinary differential equations (34A36) Fractional ordinary differential equations (34A08)

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A free fractional viscous oscillator as a forced standard damped vibration ⋮ Design of robust fractional PID controller using triangular strip operational matrices ⋮ Sliding mode control for a class of sub-systems with fractional order varying trajectory dynamics ⋮ Trapezoidal methods for fractional differential equations: theoretical and computational aspects ⋮ Control of double-loop permanent magnet synchronous motor drives by optimized fractional and distributed-order PID controllers ⋮ Exponential quadrature rules for linear fractional differential equations

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• Analysis of Chattering in Systems With Second-Order Sliding Modes
• Advances in Fractional Calculus

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