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Systems & Control : Foundations & Applications - Jefferey C. Allen

Systems & Control

Foundations & Applications

By: Jefferey C. Allen

Hardcover | 13 July 2004

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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.

Industry Reviews
"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

You Can Find This Book In

Non-FictionSciencePhysicsElectricityEngineering & TechnologyElectronics & Communications EngineeringElectronics EngineeringCircuits & ComponentsMathematicsApplied MathematicsOptimisationLinear Programming
Reference, Information & Interdisciplinary SubjectsResearch & InformationInformation theoryCybernetics & Systems TheoryEnergy Technology & EngineeringElectrical EngineeringProbability & StatisticsAutomatic Control EngineeringRoboticsTechnology in GeneralEngineering in GeneralComputing & I.T.Computer ScienceDigital Signal Processing (DSP)

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Published: 10th November 2012

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