Design of PD controller for master-slave synchronization of Lur'e systems with time-delay

DOI10.1016/J.AMC.2009.01.080zbMath1163.93339OpenAlexW1964277944MaRDI QIDQ1026265

Hongmei Guo, Fengyin Gao, Shou-ming Zhong

Publication date: 24 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.080

zbMATH Keywords

linear matrix inequalitytime-delaysynchronizationLyapunov functionalLur'e system

Mathematics Subject Classification ID

Design techniques (robust design, computer-aided design, etc.) (93B51) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (11)

Networked reliable synchronization of chaotic Lur'e systems with sector- and slope-restricted nonlinearities ⋮ Robust exponential synchronization for a class of master-slave distributed parameter systems with spatially variable coefficients and nonlinear perturbation ⋮ Chaos synchronization of a new hyperchaotic system ⋮ Robust control for uncertain Lur'e systems with sector and slope restricted nonlinearities by PD state feedback ⋮ Synchronization criterion for Lur'e systems via delayed PD controller ⋮ Synchronization of Lurie system based on contraction analysis ⋮ Composite nonlinear feedback control technique for master/slave synchronization of nonlinear systems ⋮ Master‐slave synchronization for delayed Lur'e systems using time‐delay feedback control ⋮ Design PD controller for master-slave synchronization of chaotic Lur'e systems with sector and slope restricted nonlinearities ⋮ Input-to-state stable synchronization for delayed Lurie systems via sampled-data control ⋮ Event-triggered sampled-data synchronization of complex networks with time-varying coupling delays

Uses Software

• Unnamed Item
• LMI toolbox

Cites Work

• Automatic tuning of simple regulators with specifications on phase and amplitude margins
• Introduction to functional differential equations
• Design of dynamic controller for neutral differential systems with delay in control input
• Adaptive synchronization of Rossler and Lü systems with fully uncertain parameters
• Synchronization criteria of Lur'e systems with time-delay feedback control
• Synchronization of chaotic systems based on PI observer design
• An LMI criterion for linear-state-feedback based chaos synchronization of a class of chaotic systems
• Delay-dependent stabilization of linear systems with time-varying state and input delays
• BIFURCATION ANALYSIS AND CHAOS CONTROL FOR LÜ SYSTEM WITH DELAYED FEEDBACK
• Adaptive Q-S (lag, anticipated, and complete) time-varying synchronization and parameters identification of uncertain delayed neural networks
• MASTER-SLAVE SYNCHRONIZATION OF LUR'E SYSTEMS BASED ON TIME-VARYING DELAY FEEDBACK CONTROL
• SYNCHRONIZATION CRITERIA FOR LUR'E SYSTEMS BY DYNAMIC OUTPUT FEEDBACK WITH TIME-DELAY

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