Stability domains of the delay and PID coefficients for general time-delay systems

DOI10.1080/00207179.2015.1099166zbMath1338.93338OpenAlexW2132061886MaRDI QIDQ2807894

Elham Almodaresi, Hamid D. Taghirad, Mohammad Bozorg

Publication date: 25 May 2016

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

Full work available at URL: https://doi.org/10.1080/00207179.2015.1099166

zbMATH Keywords

stability boundariesPID controlleruncertain delayRekasius substitutionsingular frequency method

Mathematics Subject Classification ID

Frequency-response methods in control theory (93C80) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Related Items

Explicit bounds for guaranteed stabilization by PID control of second-order unstable delay systems ⋮ Dynamic similarity approach to control system design: delayed PID control loop ⋮ An optimal stochastic multivariable PID controller: a direct output tracking approach ⋮ Reliable computation of PID gain space for general second-order time-delay systems

Cites Work

• Stabilization for state/input delay systems via static and integral output feedback
• An eigenvalue based approach for the stabilization of linear time-delay systems of neutral type
• Design of robust PID controllers using decoupling at singular frequencies
• All stabilizing PID controllers for time delay systems
• On stability crossing curves for general systems with two delays
• Complete stability robustness of third-order LTI multiple time-delay systems
• Stability crossing surfaces for linear time-delay systems with three delays
• Low-Order Stabilization of LTI Systems With Time Delay
• k_p-stable regions in the space of time delay and PI controller coefficients