H-Infinity Engineering and Amplifier Optimization - (Systems & Control: Foundations & Applications) by Jefferey C Allen (Hardcover)
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<p/><br></br><p><b> Book Synopsis </b></p></br></br><p>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.</p> <p> </p> <p>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.</p><p/><br></br><p><b> From the Back Cover </b></p></br></br><p><em>H-infinity</em> engineering continues to establish itself as a discipline of applied mathematics. As such, this extensively illustrated monograph makes a significant application of <em>H-infinity</em> theory to electronic amplifier design, demonstrating how recent developments in <em>H-infinity</em> engineering equip amplifier designers with new tools and avenues for research.</p> <p></p> <p>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 <em>H-infinity</em> functions, amplifier design is really a problem in <em>H-infinity </em>multiobjective optimization. </p> <p></p> <p>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 <em>H-infinity</em> 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.</p> <p></p> <p>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 <em>H-infinity</em> 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 <em>H-infinity</em> theory.</p><p/><br></br><p><b> Review Quotes </b></p></br></br><br><p>"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." <strong>--Mathematical Reviews</strong></p><br>
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