Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers

Keywords

Differentiator, Laplace transform, Lambda, Order (exchange), Mathematics

References

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• The Laplace Transform Method for Linear Differential Equations of the Fractional OrderIgor Podlubný — 1997
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• On the Appearance of the Fractional Derivative in the Behavior of Real MaterialsPeter J. Torvik, Ronald L. Bagley — 1984
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• A fractional model for mechanical stress relaxationT. F. Nonnenmacher, W. Glöckle — 1991
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Cited by

• Fractional Order PI Tuning for Integrating Plants with Time DelayPaolo Lino, Guido Maione — 2012
• QFT LOOP SHAPING USING A FRACTIONAL INTEGRATOR - REAL-TIME APPLICATION TO A COUPLED-TANK SYSTEMNataraj S. V. Paluri, K. Rambabu, Nandkishor Kubal — 2006
• Nonlinear fractional PI control of a class of fractional-order systemsAlessandro Pisano, Milan R. Rapaić, Zoran D. Jeličić — 2012
• Analogue Realizations of Fractional-Order ControllersIgor Podlubný, Ivo Petráš, Blas M. Vinagre — 2002
• Multi-Objective Optimal Fuzzy Fractional-Order PID Controller DesignAmir Hajiloo, Wenfang Xie — 2014
• Robust Controller Design for Discrete Fractional Order System: A Disturbance Observer based ApproachShyam Kamal, B. Bandyopadhyay — 2014
• A graphical tuning of PIλ controllers for fractional-delay systemsDejin Wang, Jianghui Zhang — 2011
• A Suggestion of Fractional-Order Controller for Flexible Spacecraft Attitude ControlShunji Manabe — 2002
• Application of Fractional Calculus in the Control of Heat SystemsIsabel S. Jesus, J. A. Tenreiro Machado — 2007
• Dynamics and Control of Initialized Fractional-Order SystemsTom T. Hartley, Carl F. Lorenzo — 2002
• A Reference Guide to PID Controllers in the NinetiesMuhidin Lellić, Zoran Gajić — 2000
• Fuzzy reasoning in fractional-order PD controllersRamiro S. Barbosa, Isabel S. Jesus, Manuel F. Silva — 2010
• CONTROL OF HYDRO-ELECTROMECHANICAL SYSTEM USING THE GENERALIZED PID AND THE CRONE CONTROLLERSRoy Abi Zeid Daou, Xavier Moreau, Clovis Francis — 2011
• Using Continued Fraction Expansion to Discretize Fractional Order DerivativesYangQuan Chen, Blas M. Vinagre, Igor Podlubný — 2003
• Fractional Control of Coordinated ManipulatorsN. M. Fonseca Ferreira, J. A. Tenreiro Machado — 2007
• CRONE Control: Principles and Extension to Time-Variant Plants with Asymptotically Constant CoefficientsJocelyn Sabatier, Alain Oustaloup, Aitor Garcia Iturricha — 2002
• Chaotic Phenomena and Fractional-Order Dynamics in the Trajectory Control of Redundant ManipulatorsFernando B. Duarte, J. A. Tenreiro Machado — 2002
• Using Fractional Order Adjustment Rules and Fractional Order Reference Models in Model-Reference Adaptive ControlBlas M. Vinagre, Ivo Petráš, Igor Podlubný — 2002
• Variable structure controllers for unstable processesGünyaz Ablay — 2015
• Fractional-Order Modeling of High-Pressure Fluid-Dynamic Flows: An Automotive ApplicationPaolo Lino, Guido Maione, Fabrizio Saponaro — 2015

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