IEEE Access · 2020 · 79 citations · 18 references
Natural SciencesMathematicsSystems EngineeringDynamical SystemsSystem DynamicsUncertainty QuantificationChaos TheoryControl Of Dynamical SystemsControl SystemsControl TheoryFeedback ControlStabilityChaos ControlChaotic DynamicsLyapunov Stability TheoryRobust Control Of Uncertain SystemsStabilizationStabilization TheorySystem StabilityUncertain Systems Modeling
This paper investigates the stabilization of a class of chaotic systems with both model uncertainty and external disturbance. By combining the dynamic feedback control method, and the uncertainty and disturbance estimator (UDE)-based control method, a new UDE-based control method is developed. By using this method, the system stabilization can be achieved by three steps. Illustrative examples using numerical simulations verify the soundness and effectiveness of the proposed method.
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Deterministic Nonperiodic Flow
Edward N. Lorenz · Journal of the Atmospheric Sciences · 1963 · 19.3K citations · Full text
Synchronization in chaotic systems
Louis M. Pecora, Thomas L. Carroll · Physical Review Letters · 1990 · 10.6K citations
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Controlling chaos in high dimensional systems
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