Design of optimal PID controller for multivariable time-varying delay discrete-time systems using non-monotonic Lyapunov-krasovskii approach

DOI10.1016/j.jfranklin.2021.06.026zbMath1470.93122OpenAlexW3182117838MaRDI QIDQ2047101

Amirhossein Nikoofard, Alireza Fatehi, Younes Solgi, Ala Shariati

Publication date: 19 August 2021

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2021.06.026

Mathematics Subject Classification ID

Feedback control (93B52) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Delay control/observation systems (93C43)

Related Items

Lyapunov stability analysis of a robust model reference adaptive PI controller for systems with matched and unmatched dynamics

Cites Work

• An improved summation inequality to discrete-time systems with time-varying delay
• Stability and stabilization for discrete-time systems with time-varying delays via augmented Lyapunov-Krasovskii functional
• Abel lemma-based finite-sum inequality and its application to stability analysis for linear discrete time-delay systems
• Discrete inequalities based on multiple auxiliary functions and their applications to stability analysis of time-delay systems
• Stability analysis of discrete-time switched systems with time-varying delays via a new summation inequality
• Robust ℋ︁_∞ PID control for multivariable networked control systems with disturbance/noise attenuation
• Stability of Discrete-Time Systems With Time-Varying Delays via a Novel Summation Inequality
• Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
• A new asymptotic stability criterion for nonlinear time-variant differential equations
• Nonquadratic Stabilization Conditions for a Class of Uncertain Nonlinear Discrete Time TS Fuzzy Models: A New Approach
• Optimal fuzzy controller based on non-monotonic Lyapunov function with a case study on laboratory helicopter
• Overview of recent advances in stability of linear systems with time‐varying delays
• Stability and Stabilization of Systems with Time Delay

This page was built for publication: Design of optimal PID controller for multivariable time-varying delay discrete-time systems using non-monotonic Lyapunov-krasovskii approach