2002 · 28 citations · 8 references
Natural SciencesElectrical EngineeringPhysicsCircuit TheoryDynamical SystemsPower ElectronicsBifurcation TheoryChaos TheoryControl SystemsControl TheoryNonlinear DynamicsStability TheoryBifurcation Analysis In Control SystemsChaos In CircuitsChaotic MapsCircuit SimulationConverter ControlCurrent Control Of Power ConvertersCurrent-mode ControlćUk Converters
Instability and chaos in a current-mode controlled Cuk converter is studied. The analysis begins with the derivation of a fourth-order iterative map that describes the dynamic operation of the circuit. Using this map, instability pertaining to current-mode control is shown to be related to a route to chaos similar to that from a tent-map. Computer simulations based on an exact piece-wise switched model and experimental measurements confirm the predicted phenomena.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Chaotic dynamics of nonlinear systems
Choice Reviews Online · 1990 · 512 citations
A new optimum topology switching DC-to-DC converter
S. Ćuk, R.D. Middlebrook · 1977 · 194 citations