CHAOS SYNCHRONIZATION VIA MULTIVARIABLE PID CONTROL

DOI10.1142/S0218127407018051zbMath1139.93027OpenAlexW2012906026MaRDI QIDQ3498758

X. Han, Gui-Lin Wen, Guangyao Li, Qing-Guo Wang, Chong Lin

Publication date: 16 May 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127407018051

zbMATH Keywords

linear matrix inequalitychaos synchronizationstatic output feedbackfree-weighting matrix approachdescriptor approachmultivariable PID control

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Design techniques (robust design, computer-aided design, etc.) (93B51) Multivariable systems, multidimensional control systems (93C35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

Adaptive synchronization of time-delay chaotic systems with intermittent control, An improved harmony search algorithm for synchronization of discrete-time chaotic systems, Chaos synchronization of unified chaotic systems via LMI, Optimal synchronization of non-smooth fractional order chaotic systems with uncertainty based on extension of a numerical approach in fractional optimal control problems, Synchronization of generalized Hénon map using polynomial controller, Data-driven criteria synthesis of system with two-degree-of-freedom controller

Cites Work

• Delay-dependent criteria for robust stability of time-varying delay systems
• Synthesis for robust synchronization of chaotic systems under output feedback control with multiple random delays
• An improvement on multivariable PID controller design via iterative LMI approach.
• Robust stability for delay Lur'e control systems with multiple nonlinearities
• On the chaos synchronization phenomena
• Observer-based control for full-state projective synchronization of a general class of chaotic maps in any dimension
• Synchronization of chaotic systems based on PI observer design
• Nonlinear observer control for full-state projective synchronization in chaotic continuous-time systems
• An LMI criterion for linear-state-feedback based chaos synchronization of a class of chaotic systems
• Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays
• Disturbance attenuation using proportional integral observers
• Absolute Stability Theory and Master-Slave Synchronization
• Linear Matrix Inequalities in System and Control Theory
• Robust synthesis for master-slave synchronization of Lur'e systems
• Synchronization in chaotic systems
• Parameter-Dependent Lyapunov Functional for Stability of Time-Delay Systems With Polytopic-Type Uncertainties
• New Delay-Dependent Stability Criteria and Stabilizing Method for Neutral Systems