Stability and Oscillations of Nonlinear Pulse-Modulated Systems - Hardcover

Gelig, Arkadii Kh.; Churilov, Alexander N.

Hardcover

ISBN 10: 081763987X ISBN 13: 9780817639877

Publisher: Birkhäuser, 1998

Synopsis

There are two main fields of application of pulse-modulated sys­ tems, communications and control. Communication is not a subject of our concern in this book. Controlling by a pulse-modulated feed­ attracted our efforts. The peculiarity of this book is that all back the sampled-data systems are considered in continuous time, so no discrete time schemes are presented. And finally, we pay a little at­ tention to pulse-amplitude modulation which was treated in a vast number of publications. The primary fields of our interest are pulse­ width, pulse-frequency, and pulse-phase modulated control systems. The study of such systems meets with substantial difficulties. An engineer, who embarks on theoretical investigations of a pulse-mo­ dulated control, is often embarrassed by the sophisticated mathe­ matical tools he needs to know. When a mathematician, who looks for practical applications of his mathematical machinery, meets with these systems, he faces a lot of of complicated technical schemes and terms. Probably this is the reason why publications on pulse modu­ lation are seldom in scientific journals. As for books on this subject (save on amplitude modulation), the significant part of them is in Russian and hardly available for a non-Russian reader.

About this title

Review

"...A very comprehensive introduction...useful for researchers, professionals in control theory, and applied mathematics..."

--Simulation News Europe

Synopsis

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.

Edition details

• Publisher: Birkhäuser
• Publication date: 1998
• ISBN 10: 081763987X
• ISBN 13: 9780817639877
• Binding: Hardcover
• Language: English
• Number of pages: 378