Robust PI and PID design for first- and second-order processes with zeros, time-delay and structured uncertainties

DOI10.1080/00207721.2016.1160453zbMath1358.93064OpenAlexW2331405812MaRDI QIDQ2974248

M. Parada, Renato A. Borges, Daniel G. Sbarbaro, Pedro L. D. Peres

Publication date: 6 April 2017

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207721.2016.1160453

zbMATH Keywords

linear matrix inequalitytime-delay systemLyapunov theorysmall-gain theoremtuning PI and PID controllers

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• Unnamed Item
• All stabilizing PID controllers for time delay systems
• Stability of PID-controlled second-order time-delay feedback systems
• \(\mathcal D\)-stability for linear continuous-time systems with multiple time delays
• Fixed structure PID controller design for standard \(H_{\infty}\) control problem
• RobustH_∞control for uncertain descriptor systems by proportional–derivative state feedback
• Robust PID control using generalized KYP synthesis: direct open-loop shaping in multiple frequency ranges

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