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Full Description
The mathematical methods for studying stability and oscillations in control systems with various types of pulse modulation (pulse-width, pulse-frequency, combined and phases in different modifications) are treated in this volume. The approaches developed by the authors include the averaging methods which enable the reader to extend pulse-modulated systems, to absolute stability theory and the fixed-point approach for study of forced oscillations. The book should be useful for researchers, engineers and professionals in control theory and applied mathematics working in the fields of control theory, functional differential equations, dynamical systems and pde's.
Contents
Mathematical description of pulse-modulated systems; stability of equilibria - miscellaneous methods; stability of equilibria - averaging method; stability of processes - averaging method; forced periodic oscillations - method of equations of periods; oscillations of PWM systems - fixed-point method; oscillations of PFM systems - fixed-point method; method of harmonic balance and its justification; auto-oscillations in pulse modulated systems; pulse-width modulated systems of phase synchronization.
