The AQM Dropping Packet Probability Function Based on Non-integer Order $$PI^{\alpha }D^\beta $$ P I α D β Controller

DOI10.1007/978-3-319-78458-8_4zbMath1422.93089OpenAlexW2792045025MaRDI QIDQ5195073

Joanna Domańska, Jerzy Klamka, Tadeusz Czachórski, Jakub Szyguła, Adam Domański

Publication date: 18 September 2019

Published in: Lecture Notes in Electrical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-78458-8_4

zbMATH Keywords

fractional calculusPID controlleractive queue managementdropping packets

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Fractional derivatives and integrals (26A33) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• The use of a non-integer order PI controller with an active queue management mechanism
• Fractional order [proportional derivative controller for a class of fractional order systems]
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Computing non-fragile PI controllers for delay models of TCP/AQM networks
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Analysis and design of controllers for AQM routers supporting TCP flows
• Stability of TCP/RED Systems in AQM Routers
• Stability analysis of some classes of TCP/AQM networks

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