H-infinity Engineering and Amplifier Optimization (Systems & Control: Foundations & Applications) - Hardcover

Allen, Jefferey C.

Hardcover

ISBN 10: 081763780X ISBN 13: 9780817637804

Publisher: Birkhäuser, 2004

Synopsis

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 presentation, at the interface of applied mathematics and engineering, 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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Birkhäuser
• Publication date: 2004
• Language: English
• ISBN 10: 081763780X
• ISBN 13: 9780817637804
• Binding: Hardcover
• Number of pages: 249