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Polynomial Methods in Optimal Control and Filtering

Polynomial Methods in Optimal Control and Filtering

Hardcover

Series: Control, Robotics and Sensors

Technology & Engineering

ISBN10: 0863412955
ISBN13: 9780863412950
Publisher: Institution Of Engineering & T
Published: Jun 30 1993
Pages: 328
Weight: 1.40
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English

This book aims to demonstrate the power and breadth of polynomial methods in control and filtering. Direct polynomial methods have previously received little attention compared with the alternative Wiener-Hopf transfer-function method and the statespace methods which rely on Riccati equations.

The book provides a broad coverage of the polynomial equation approach in a range of linear control and filtering problems. The principal feature of the approach is the description of systems in fractional form using transfer functions. This representation leads quite naturally and directly to the parameterisation of all 'acceptable' feedback controllers for a given problem in the form of a Diophantine equation over polynomials. In the polynomial equation approach, this direct parameterisation is explicitly carried through to the synthesis of controllers and filters and, further, to the computer implementation of numerical algorithms.

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