Stabilizing and robust fractional order PI controller synthesis for first order plus time delay systems

DOI10.1016/j.automatica.2012.05.072zbMath1257.93039OpenAlexW2063409030MaRDI QIDQ1937495

Ying Luo, Yang Quan Chen

Publication date: 1 March 2013

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2012.05.072

zbMATH Keywords

robustnessstability regionfeasible regionfirst order plus time delay systemflat phasefractional order proportional integral controllerinteger order proportional integral derivative controller

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Design techniques (robust design, computer-aided design, etc.) (93B51) Synthesis problems (93B50) Fractional ordinary differential equations (34A08)

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Uses Software

• Matlab
• irid_fod

Cites Work

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• Differential-difference equations
• Stabilization using fractional-order PI and PID controllers
• A numerical algorithm for stability testing of fractional delay systems
• Fractional order [proportional derivative controller for a class of fractional order systems]
• Stable polyhedra in parameter space
• Fast calculation of stabilizing PID controllers
• An extension of predictive control, PID regulators and Smith predictors to some linear delay systems
• Gain margins and phase margins for control systems with adjustable parameters
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• A note on time-domain simulation of feedback fractional-order systems
• New results on the synthesis of PID controllers
• An Algorithm for Stabilization of Fractional-Order Time Delay Systems Using Fractional-Order PID Controllers

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