Kepler's equation and limit cycles in a class of PWM feedback control systems

DOI10.1007/s11071-010-9712-8zbMath1205.93077OpenAlexW2165680073MaRDI QIDQ619548

Giuseppe Fedele, Alfredo Eisinberg, Domenico Frascino

Publication date: 25 January 2011

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9712-8

zbMATH Keywords

Bessel functionspulse width modulationdescribing functionKapteyn series

Mathematics Subject Classification ID

Feedback control (93B52) Robust stability (93D09) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (2)

Kepler's equation and limit cycles in a class of PWM feedback control systems ⋮ Instability conditions for a class of switched linear systems with switching delays based on sampled-data analysis: applications to DC-DC converters

Cites Work

• Kepler's equation and limit cycles in a class of PWM feedback control systems
• Rootfinding for a transcendental equation without a first guess: polynomialization of Kepler's equation through Chebyshev polynomial expansion of the sine
• Dynamic discretization method for solving Kepler's equation
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• Stability analysis of PWM feedback control systems with PID regulators
• Describing function analysis and oscillations in non-linear networks
• Steady-state analysis of a three-term fuzzy controller
• Stability analysis of pulse-width-modulated feedback systems
• An eigenvalue method for calculation of stability and limit cycles in nonlinear systems
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