About this book
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.
- Book Title H∞ Engineering and Amplifier Optimization
- Series Title Systems & Control: Foundations & Applications
- DOI https://doi.org/10.1007/978-0-8176-8182-1
- Copyright Information Birkhäuser Boston 2004
- Publisher Name Birkhäuser, Boston, MA
- eBook Packages Springer Book Archive
- Hardcover ISBN 978-0-8176-3780-4
- Softcover ISBN 978-1-4612-6478-1
- eBook ISBN 978-0-8176-8182-1
- Series ISSN 2324-9749
- Edition Number 1
- Number of Pages XXXIII, 249
- Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
Systems Theory, Control
Applications of Mathematics
Mathematical and Computational Engineering
Control, Robotics, Mechatronics
Signal, Image and Speech Processing
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"This book deals with the electronic amplifier matching problem and proposes a general approach in the H-infinity framework. Loosely speaking, the design procedure is a multi-objective optimization which simultaneously maximizes the transducer power gain, minimizes the noise figure, and guarantees stability. Basically these objectives are competing, and the book shows how the H-infinity framework provides tools to circumvent this problem…. The book begins with a thorough background on circuit theory, H-infinity and control theory, and then deals with the amplifier matching problem, of which some examples are displayed…. The monograph concludes with a collection of open problems." —Mathematical Reviews