Optimization of zero-pole interlacing for indirect discrete approximations of noninteger order operators

DOI10.1016/j.camwa.2013.01.007zbMath1350.93055OpenAlexW2012662655MaRDI QIDQ316104

Guido Maione, Riccardo Caponetto, Alessandro Pisano

Publication date: 26 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.01.007

zbMATH Keywords

discretizationrational approximationparticle swarm optimizationfractional order controllersnoninteger order operatorszero-pole interlacing

Mathematics Subject Classification ID

Frequency-response methods in control theory (93C80) Eigenvalue problems (93B60) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Uses Software

• CRONE

Cites Work

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• A new IIR-type digital fractional order differentiator
• Two direct Tustin discretization methods for fractional-order differentiator/integrator.
• Anlogue realizations of fractional-order controllers.
• A study of particle swarm optimization particle trajectories
• Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review
• Sliding mode control approaches to the robust regulation of linear multivariable fractional-order dynamics
• Loop‐Shaping and Easy Tuning of Fractional‐Order Proportional Integral Controllers for Position Servo Systems
• H(infinity) optimized wave-absorbing control - Analytical and experimental results
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• High-Speed Digital Realizations of Fractional Operators in the Delta Domain
• Discretization schemes for fractional-order differentiators and integrators