H-infinity Engineering and Amplifier Optimization

Lieferzeit: Lieferbar innerhalb 14 Tagen

106,99 

Systems & Control: Foundations & Applications

ISBN: 081763780X
ISBN 13: 9780817637804
Autor: Allen, Jefferey C
Verlag: Springer Basel AG
Umfang: xxxiii, 249 S.
Erscheinungsdatum: 09.08.2004
Produktform: Gebunden/Hardback
Einband: GEB

H-infinity engineering continues to establish itself as a discipline of applied mathematics. As such, this extensively illustrated monograph makes a significant application of H-infinity theory to electronic amplifier design, demonstrating how recent developments in H-infinity engineering equip amplifier designers with new tools and avenues for research. The amplification of a weak, noisy, wideband signal is a canonical problem in electrical engineering. Given an amplifier, matching circuits must be designed to maximize gain, minimize noise, and guarantee stability. These competing design objectives constitute a multiobjective optimization problem. Because the matching circuits are H-infinity functions, amplifier design is really a problem in H-infinity multiobjective optimization. To foster this blend of mathematics and engineering, the author begins with a careful review of required circuit theory for the applied mathematician. Similarly, a review of necessary H-infinity theory is provided for the electrical engineer having some background in control theory. The presentation emphasizes how to (1) compute the best possible performance available from any matching circuits; (2) benchmark existing matching solutions; and (3) generalize results to multiple amplifiers. As the monograph develops, many research directions are pointed out for both disciplines. The physical meaning of a mathematical problem is made explicit for the mathematician, while circuit problems are presented in the H-infinity framework for the engineer. A final chapter organizes these research topics into a collection of open problems ranging from electrical engineering, numerical implementations, and generalizations to H-infinity theory.

Artikelnummer: 1336037 Kategorie:

Beschreibung

InhaltsangabePreface Electric Circuits for Mathematicians The Amplifier Matching Problem Hinfinity Tools for Electrical Engineers Lossless NPorts The Hinfinity Framework Amplifier Matching Examples Hinfinity Multidisk Methods StateSpace Methods for Single Amplifiers StateSpace Methods for Multiple Amplifiers Research Topics References The Axioms of Electric Circuits Taylor's Expansion and the Descent Lemma References Index

Inhaltsverzeichnis

InhaltsangabePreface Electric Circuits for Mathematicians The Amplifier Matching Problem H-infinity Tools for Electrical Engineers Lossless N-Ports The H-infinity Framework Amplifier Matching Examples H-infinity Multidisk Methods State-Space Methods for Single Amplifiers State-Space Methods for Multiple Amplifiers Research Topics References The Axioms of Electric Circuits Taylor's Expansion and the Descent Lemma References Index

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