Controlling chaotic and hyperchaotic systems via a simple adaptive feedback controller

DOI10.1016/J.CAMWA.2010.08.061zbMath1219.93110OpenAlexW2090185689MaRDI QIDQ636617

Guoxin Chen

Publication date: 28 August 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.08.061

zbMATH Keywords

chaoschaos controlhyperchaotic systemadaptive feedback control method

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Adaptive control/observation systems (93C40) Adaptive or robust stabilization (93D21) Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (6)

Adaptive backstepping synchronization between chaotic systems with unknown Lipschitz constant ⋮ Adaptive feedback control for chaos control and synchronization for new chaotic dynamical system ⋮ Predictive control of fractional-order chaotic systems ⋮ Dynamical behaviors, circuit realization, chaos control, and synchronization of a new fractional order hyperchaotic system ⋮ Adaptive chattering-free sliding mode control of chaotic systems with unknown input nonlinearity via smooth hyperbolic tangent function ⋮ The design of quasi-sliding mode control for a permanent magnet synchronous motor with unmatched uncertainties

Cites Work

• Modification for collection of master-slave synchronized chaotic systems
• Adaptive chaos control and synchronization in only locally Lipschitz systems
• A simple adaptive controller for chaos and hyperchaos synchronization
• Impulsive control and synchronization of general chaotic system
• Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems
• Controlling chaos and deterministic directed transport in inertia ratchets using backstepping control
• Robust controlling hyperchaos of the Rössler system subject to input nonlinearities by using sliding mode control
• Controlling chaos
• Controlling chaos in high dimensional systems

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