Intriguing nonlinear dynamics of a controller with a sluggish actuator.

DOI10.1016/J.AUTOMATICA.2003.07.006zbMath1045.93036OpenAlexW2015556334MaRDI QIDQ1421438

B. D. Coller

Publication date: 26 January 2004

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2003.07.006

zbMATH Keywords

CompressorsBifurcationsActuator lagDouble Hopf instability

Mathematics Subject Classification ID

Application models in control theory (93C95) Bifurcation theory for ordinary differential equations (34C23) Control/observation systems governed by ordinary differential equations (93C15)

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A GALLERY OF OSCILLATIONS IN A RESONANT ELECTRIC CIRCUIT: HOPF-HOPF AND FOLD-FLIP INTERACTIONS

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A simple global characterization for normal forms of singular vector fields
• Elements of applied bifurcation theory.
• Stability of extremum seeking feedback for general nonlinear dynamic systems
• Structural non-linearities and the nature of the classic flutter instability
• Bifurcation Analysis of Axial Flow Compressor Stability

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