Stability of PID-controlled second-order time-delay feedback systems

DOI10.1016/j.automatica.2009.05.031zbMath1180.93042OpenAlexW2088752347MaRDI QIDQ1049179

G. Martelli

Publication date: 8 January 2010

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2009.05.031

zbMATH Keywords

stabilitytime-delay systemsPID control

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Feedback control (93B52) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Related Items (7)

All-Stabilizing Proportional Controllers for First-Order Bi-Proper Systems with Time Delay: An Analytical Derivation ⋮ Robust PI and PID design for first- and second-order processes with zeros, time-delay and structured uncertainties ⋮ Finite-time \(H_\infty\) control for a class of Markovian jump systems with mode-dependent time-varying delay ⋮ A simple derivation of all stabilizing proportional controllers for first order time‐delay systems ⋮ Arbitrary precision computation of the set of stabilising gains for time-delay LTI systems ⋮ Proportional-derivative controllers for stabilisation of first-order processes with time delay ⋮ Reliable computation of PID gain space for general second-order time-delay systems

Cites Work

• Differential-difference equations
• On stability of second-order quasi-polynomials with a single delay
• New results on the synthesis of PID controllers
• Comments on "New results on the synthesis of PID controllers"
• Further Results on the Synthesis of PID Controllers
• On the zeros of some transcendental functions

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