Oscillations in a relay control system with hysteresis and time dead zone

DOI10.1016/S0378-4754(01)00376-7zbMath0995.65135OpenAlexW2007262731MaRDI QIDQ1602721

Zhanybai T. Zhusubaliyev, Evgeniy A. Soukhoterin

Publication date: 24 June 2002

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(01)00376-7

zbMATH Keywords

chaosbifurcationsself-oscillationselectric drive with direct current motorpiecewise-smooth dynamical systemrelay control system with hysteresis

Mathematics Subject Classification ID

Technical applications of optics and electromagnetic theory (78A55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical chaos (65P20) Computational methods for bifurcation problems in dynamical systems (37M20)

Cites Work

• Investigation of the stabilization process for a multidimensional dynamical system with relay control
• Minimization of self-oscillation amplitude in a relay control system with a stable linear dynamic part
• Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
• On the structure of C-bifurcation boundaries of piecewise continuous systems
• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• On the generation of sets of subharmonic modes in a piecewise-continuous system
• The increasingly complex structure of the bifurcation tree of a piecewise-smooth system
• On the stability of a spacecraft with regard for its elastic oscillations
• Stochasticity of relay systems with hysteresis
• A general and exact method for determining limit cycles in decentralized relay systems
• Doubling of the oscillation period with C-bifurcations in piecewise-continuous systems
• BIFURCATIONS AND CHAOTIC OSCILLATIONS IN AN AUTOMATIC CONTROL RELAY SYSTEM WITH HYSTERESIS
• Limit cycles in decentralized relay systems
• BIFURCATIONS OF ATTRACTING CYCLES FROM TIME-DELAYED CHUA’S CIRCUIT
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
• BORDER-COLLISION BIFURCATIONS AND CHAOTIC OSCILLATIONS IN A PIECEWISE-SMOOTH DYNAMICAL SYSTEM
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