Robustness analysis and design of fractional order Iλ Dμ controllers using the small gain theorem

DOI10.1080/00207179.2018.1476982zbMath1440.93061OpenAlexW2806528358MaRDI QIDQ4960173

Alireza Fatehi, Ali Khaki-Sedigh, Roohallah Azarmi, Mahsan Tavakoli-Kakhki

Publication date: 9 April 2020

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2018.1476982

zbMATH Keywords

robustness analysissensitivity functionssmall gain theoremBode diagramfractional order \(I^\lambda D^\mu \) controllers

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Control/observation systems with incomplete information (93C41) Fractional derivatives and integrals (26A33) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

Fractional-order PID controller design via optimal selection strategy of frequency domain specifications ⋮ Proportional integral-fractional filter controller design for first order lag plus time delay system ⋮ Proportional integral-fractional filter controller design for first order lag plus time delay system

Cites Work

• Unnamed Item
• Stability of fractional order switching systems
• \(H_\infty\) design with fractional-order \(PD^\mu\) controllers
• On the robust control of stable minimum phase plants with large uncertainty in a time constant. A fractional-order control approach
• Analytical computation of the \({\mathcal H}_2\)-norm of fractional commensurate transfer functions
• Design of a class of fractional controllers from frequency specifications with guaranteed time domain behavior
• Fractional order [proportional derivative controller for a class of fractional order systems]
• Design of PID controllers satisfying gain margin and sensitivity constraints on a set of plants.
• Stabilizing and robust fractional order PI controller synthesis for first order plus time delay systems
• \(\mathcal{H}_\infty\) control of fractional linear systems
• Non-fragile observer-based robust control for a class of fractional-order nonlinear systems
• On fractional \(PI^{\lambda }\) controllers: Some tuning rules for robustness to plant uncertainties
• A note on \(\mathcal{L}_p\)-norms of fractional systems
• Fractional-order integral and derivative controller for temperature profile tracking
• Tuning algorithms for fractional order internal model controllers for time delay processes
• Robust stability region of fractional order PI^λcontroller for fractional order interval plant
• H∞ optimization-based fractional-order PID controllers design
• Set‐point weight tuning rules for fractional‐order <scp>PID</scp> controllers
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• The generalised isodamping approach for robust fractional PID controllers design
• Robust isophase margin control of oscillatory systems with large uncertainties in their parameters: A fractional‐order control approach

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